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Chakrabarti, Amithaba

Author ID: chakrabarti.amithaba Recent zbMATH articles by "Chakrabarti, Amithaba"
Published as: Chakrabarti, A.; Chakrabarti, Amitabha; Chakrabarti, Amithaba

Publications by Year

Citations contained in zbMATH Open

58 Publications have been cited 284 times in 177 Documents Cited by Year
Class of representations of the IU(n) and IO(n) algebras and respective deformations to U(n,1), O(n,1). Zbl 0177.28302
Chakrabarti, A.
29
1968
Higher order curvature generalizations of Bartnick-McKinnon and coloured black hole solutions in \(d=5\). Zbl 1017.83020
Brihaye, Yves; Chakrabarti, A.; Hartmann, Betti; Tchrakian, D. H.
20
2003
Particle-like solutions to higher-order curvature Einstein-Yang-Mills systems in \(d\) dimensions. Zbl 1043.83028
Brihaye, Y.; Chakrabarti, A.; Tchrakian, D. H.
17
2003
\(q\)-analogs of \(IU(n)\) and \(U(n,1)\). Zbl 0738.17007
Chakrabarti, A.
13
1991
’Lorentz basis’ of the Poincaré group. Zbl 0159.29203
Chakrabarti, Amitabha; Levy-Nahas, M.; Seneor, R.
13
1968
On nonlinear angular momentum theories, their representations and associated Hopf structures. Zbl 0894.17003
Abdesselam, B.; Beckers, J.; Chakrabarti, A.; Debergh, N.
12
1996
Canonical form of the covariant free-particle equations. Zbl 0133.23003
Chakrabarti, A.
11
1963
Periodic and partially periodic representations of \(\text{SU}(N)_ q\). Zbl 0751.17006
Arnaudon, D.; Chakrabarti, A.
10
1991
On combined standard-nonstandard or hybrid \((q,h)\)-deformations. Zbl 1013.81027
Aneva, B. L.; Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G.
9
2001
Canonical factorization and diagonalization of Baxterized braid matrices: explicit constructions and applications. Zbl 1063.17012
Chakrabarti, A.
8
2003
Relativistic position operator for free particles. Zbl 0133.23004
Chakrabarti, A.
8
1963
Spectral decomposition and Baxterization of exotic bialgebras and associated noncommutative geometries. Zbl 1039.81032
Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G.
7
2003
Lorentz basis of the Poincaré group. II. Zbl 0231.22020
Chakrabarti, A.
7
1971
A nested sequence of projectors and corresponding braid matrices \(\widehat R(\theta)\). I: Odd dimensions. Zbl 1110.82019
Chakrabarti, A.
6
2005
Duality for exotic bialgebras. Zbl 1129.81325
Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G.
6
2001
Irreducible representations of Jordanian quantum algebra \({\mathcal U}_h(\text{sl}(2))\) via a nonlinear map. Zbl 1022.81551
Abdesselam, B.; Chakrabarti, A.; Chakrabarti, R.
6
1996
Flat periodic representations of \({\mathcal U}_ q({\mathcal G})\). Zbl 0751.17007
Arnaudon, D.; Chakrabarti, A.
6
1991
Nested sequence of projectors. II: Multiparameter multistate statistical models, Hamiltonians, \(S\)-matrices. Zbl 1111.82012
Abdesselam, B.; Chakrabarti, A.
5
2006
Remarks on lightlike continuous spin and spacelike representations of the Poincaré group. Zbl 0231.22019
Chakrabarti, A.
5
1971
On the L-S basis of the Poincaré group for the case of nonzero rest mass. Zbl 0142.22902
Chakrabarti, A.
5
1966
Higher dimensional unitary braid matrices: construction, associated structures, and entanglements. Zbl 1144.81301
Abdesselam, B.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G.
4
2007
Modified braid equations, Baxterizations and noncommutative spaces for the quantum groups \(\text{GL}_q(N)\), \(\text{SO}_q(N)\), and \(\text{Sp}_q(N)\). Zbl 1061.81036
Chakrabarti, A.; Chakrabarti, R.
4
2003
Representations of \({\mathcal U}_ q(sl(N))\) at roots of unity. Zbl 0864.17016
Abdesselam, B.; Arnaudon, D.; Chakrabarti, A.
4
1995
The fundamental invariant of the Hecke algebra \(\text{H}_ n(q)\) characterizes the representations of \(\text{H}_ n(q)\), \(S_ n\), \(\text{SU}_ q(N)\), and \(\text{SU}(N)\). Zbl 0847.20041
Katriel, J.; Abdesselam, B.; Chakrabarti, A.
4
1995
On the canonical relativistic kinematics of N-particle systems. Zbl 0133.23005
Chakrabarti, A.
4
1964
Unified unitary representation of the Poincaregroup for particles of zero and positive rest mass. Zbl 0171.23802
Chakrabarti, A.
4
1966
Higher dimensional multiparameter unitary and nonunitary braid matrices: even dimensions. Zbl 1152.81302
Abdesselam, B.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G.
3
2007
Aspects of a new class of braid matrices: roots of unity and hyperelliptic q for triangularity, l-algebra, link-invariants, noncommutative spaces. Zbl 1110.15029
Chakrabarti, A.
3
2005
Modified braid equations for \(\text{SO}_q(3)\) and noncommutative spaces. Zbl 1059.81093
Chakrabarti, A.
3
2002
Duality and representations for new exotic bialgebras. Zbl 1060.81041
Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G.
3
2002
Exotic bialgebra \(S03\): representations, Baxterisation and applications. Zbl 1228.16035
Arnaudon, Daniel; Chakrabarti, Amithaba; Dobrev, Vladimir K.; Mihov, Stephen G.
3
2006
Generation of Gaussian distributed random numbers by using a numerical inversion method. Zbl 0854.65005
Toral, Raúl; Chakrabarti, Amitabha
3
1993
\(RTT\) relations, a modified braid equation and noncommutative planes. Zbl 1005.58004
Chakrabarti, A.
3
2001
Applications of the Lorentz transformation properties of canonical spin tensors. Zbl 0141.44901
Chakrabarti, A.
3
1964
Spherically symmetric instantons of the scale invariant \(\text{SU}(2)\) gauged Grassmannian model in \(d=4\). Zbl 1190.81091
Chakrabarti, A.; Tchrakian, D. H.
2
1996
Summable chains of instantons. II: Explicit integration of quantum fluctuation determinants. Zbl 1267.81257
Chakrabarti, A.; Comtet, Alain
2
1981
Finite energy-action solutions of \(p_1\) Yang-Mills equations on \(p_2\) Schwarzschild and de Sitter backgrounds in dimensions \(d\geq 4\). Zbl 0977.83076
Brihaye, Y.; Chakrabarti, A.; Tchrakian, D. H.
2
2000
Jordanian quantum algebra \(\mathcal U_{\text h}({sl}(N))\) via contraction method and mapping. Zbl 1045.81036
Abdesselam, B.; Chakrabarti, A.; Chakrabarti, R.
2
2002
Representations of \(U_ q(SO(5))\) and non-minimal \(q\)-deformation. Zbl 0860.17023
Abdesselam, B.; Arnaudon, D.; Chakrabarti, A.
2
1995
Generalized abelian Higgs models with self-dual vortices. Zbl 0843.58131
Burzlaff, J.; Chakrabarti, A.; Tchrakian, D. H.
2
1994
SO(5)\(_ q\) and contraction: Chevalley basis representations for \(q\)- generic and root of unity. Zbl 0809.17011
Chakrabarti, A.
2
1994
Geometry of linear pairs for self-dual gauge fields. Zbl 0713.53059
Roiesnel, C.; Chakrabarti, A.
2
1990
Entangled states, Lorentz transformations and spin precession in magnetic fields. Zbl 1166.81008
Chakrabarti, A.
2
2009
On a deformation of \(sl(2)\) with paragrassmannian variables. Zbl 0904.17012
Abdesselam, B.; Beckers, J.; Chakrabarti, A.; Debergh, N.
2
1996
Unitary braid matrices: bridge between topological and quantum entanglements. Zbl 1264.81238
Abdesselam, B.; Chakrabarti, A.
1
2010
A note on Sommerfeld’s diffraction problem. Zbl 0477.35004
Sastry, V. V. S. S.; Chakrabarti, A.
1
1979
Quantum entanglement: the unitary 8-vertex braid matrix with imaginary rapidity. Zbl 1204.81027
Chakrabarti, Amitabha; Chakraborti, Anirban; Jedidi, Aymen
1
2010
A new eight vertex model and higher dimensional, multiparameter generalizations. Zbl 1152.81301
Abdesselam, B.; Chakrabarti, A.
1
2008
New class \(\widehat o_{N}\) of statistical models: transfer matrix eigenstates, chain Hamiltonians, factorizable s matrix. Zbl 1112.82009
Abdesselam, B.; Chakrabarti, A.
1
2006
Antisymmetrised \(2p\)-forms generalising curvature 2-forms and a corresponding \(p\)-hierarchy of Schwarzschild type metrics in dimensions \(d>2p+1\). Zbl 0997.83066
Chakrabarti, A.; Tchrakian, D. H.
1
1999
Spinors in periodic self-dual gauge field backgrounds. Zbl 0646.58036
Chakrabarti, A.
1
1988
Fractal structure of silica colloids revisited. Zbl 0925.82224
Sintes, Tomàs; Toral, Raúl; Chakrabarti, Amitabha
1
1996
Axially symmetric instantons in generalized Yang-Mills theory in \(4p\) dimensions. Zbl 0774.58046
Burzlaff, J.; Chakrabarti, A.; Tchrakian, D. H.
1
1993
Canonical structure in SO(4)\(_ q\) and relations to E(3)\(_ q\) and SO(3,1)\(_ q\). Zbl 0785.17012
Chakrabarti, A.
1
1993
On super-Jordanian \(\mathcal U_{\mathsf h}\) algebra. Zbl 1105.81046
Abdesselam, B.; Chakrabarti, A.; Chakrabarti, R.; Yanallah, A.; Zahaf, M. B.
1
2006
On the coupling of 3 angular momenta. Zbl 0129.21602
Chakrabarti, A.
1
1964
On certain representations of the Dirac equation. Zbl 0095.42901
Chakrabarti, A.
1
1960
Multiparameter statistical models from \(N^2 \times N^2\) braid matrices: explicit eigenvalues of transfer matrices T\(^{(r)}\), spin chains, factorizable scatterings for all \(N\). Zbl 1251.82012
Abdesselam, B.; Chakrabarti, A.
1
2012
Multiparameter statistical models from \(N^2 \times N^2\) braid matrices: explicit eigenvalues of transfer matrices T\(^{(r)}\), spin chains, factorizable scatterings for all \(N\). Zbl 1251.82012
Abdesselam, B.; Chakrabarti, A.
1
2012
Unitary braid matrices: bridge between topological and quantum entanglements. Zbl 1264.81238
Abdesselam, B.; Chakrabarti, A.
1
2010
Quantum entanglement: the unitary 8-vertex braid matrix with imaginary rapidity. Zbl 1204.81027
Chakrabarti, Amitabha; Chakraborti, Anirban; Jedidi, Aymen
1
2010
Entangled states, Lorentz transformations and spin precession in magnetic fields. Zbl 1166.81008
Chakrabarti, A.
2
2009
A new eight vertex model and higher dimensional, multiparameter generalizations. Zbl 1152.81301
Abdesselam, B.; Chakrabarti, A.
1
2008
Higher dimensional unitary braid matrices: construction, associated structures, and entanglements. Zbl 1144.81301
Abdesselam, B.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G.
4
2007
Higher dimensional multiparameter unitary and nonunitary braid matrices: even dimensions. Zbl 1152.81302
Abdesselam, B.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G.
3
2007
Nested sequence of projectors. II: Multiparameter multistate statistical models, Hamiltonians, \(S\)-matrices. Zbl 1111.82012
Abdesselam, B.; Chakrabarti, A.
5
2006
Exotic bialgebra \(S03\): representations, Baxterisation and applications. Zbl 1228.16035
Arnaudon, Daniel; Chakrabarti, Amithaba; Dobrev, Vladimir K.; Mihov, Stephen G.
3
2006
New class \(\widehat o_{N}\) of statistical models: transfer matrix eigenstates, chain Hamiltonians, factorizable s matrix. Zbl 1112.82009
Abdesselam, B.; Chakrabarti, A.
1
2006
On super-Jordanian \(\mathcal U_{\mathsf h}\) algebra. Zbl 1105.81046
Abdesselam, B.; Chakrabarti, A.; Chakrabarti, R.; Yanallah, A.; Zahaf, M. B.
1
2006
A nested sequence of projectors and corresponding braid matrices \(\widehat R(\theta)\). I: Odd dimensions. Zbl 1110.82019
Chakrabarti, A.
6
2005
Aspects of a new class of braid matrices: roots of unity and hyperelliptic q for triangularity, l-algebra, link-invariants, noncommutative spaces. Zbl 1110.15029
Chakrabarti, A.
3
2005
Higher order curvature generalizations of Bartnick-McKinnon and coloured black hole solutions in \(d=5\). Zbl 1017.83020
Brihaye, Yves; Chakrabarti, A.; Hartmann, Betti; Tchrakian, D. H.
20
2003
Particle-like solutions to higher-order curvature Einstein-Yang-Mills systems in \(d\) dimensions. Zbl 1043.83028
Brihaye, Y.; Chakrabarti, A.; Tchrakian, D. H.
17
2003
Canonical factorization and diagonalization of Baxterized braid matrices: explicit constructions and applications. Zbl 1063.17012
Chakrabarti, A.
8
2003
Spectral decomposition and Baxterization of exotic bialgebras and associated noncommutative geometries. Zbl 1039.81032
Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G.
7
2003
Modified braid equations, Baxterizations and noncommutative spaces for the quantum groups \(\text{GL}_q(N)\), \(\text{SO}_q(N)\), and \(\text{Sp}_q(N)\). Zbl 1061.81036
Chakrabarti, A.; Chakrabarti, R.
4
2003
Modified braid equations for \(\text{SO}_q(3)\) and noncommutative spaces. Zbl 1059.81093
Chakrabarti, A.
3
2002
Duality and representations for new exotic bialgebras. Zbl 1060.81041
Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G.
3
2002
Jordanian quantum algebra \(\mathcal U_{\text h}({sl}(N))\) via contraction method and mapping. Zbl 1045.81036
Abdesselam, B.; Chakrabarti, A.; Chakrabarti, R.
2
2002
On combined standard-nonstandard or hybrid \((q,h)\)-deformations. Zbl 1013.81027
Aneva, B. L.; Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G.
9
2001
Duality for exotic bialgebras. Zbl 1129.81325
Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G.
6
2001
\(RTT\) relations, a modified braid equation and noncommutative planes. Zbl 1005.58004
Chakrabarti, A.
3
2001
Finite energy-action solutions of \(p_1\) Yang-Mills equations on \(p_2\) Schwarzschild and de Sitter backgrounds in dimensions \(d\geq 4\). Zbl 0977.83076
Brihaye, Y.; Chakrabarti, A.; Tchrakian, D. H.
2
2000
Antisymmetrised \(2p\)-forms generalising curvature 2-forms and a corresponding \(p\)-hierarchy of Schwarzschild type metrics in dimensions \(d>2p+1\). Zbl 0997.83066
Chakrabarti, A.; Tchrakian, D. H.
1
1999
On nonlinear angular momentum theories, their representations and associated Hopf structures. Zbl 0894.17003
Abdesselam, B.; Beckers, J.; Chakrabarti, A.; Debergh, N.
12
1996
Irreducible representations of Jordanian quantum algebra \({\mathcal U}_h(\text{sl}(2))\) via a nonlinear map. Zbl 1022.81551
Abdesselam, B.; Chakrabarti, A.; Chakrabarti, R.
6
1996
Spherically symmetric instantons of the scale invariant \(\text{SU}(2)\) gauged Grassmannian model in \(d=4\). Zbl 1190.81091
Chakrabarti, A.; Tchrakian, D. H.
2
1996
On a deformation of \(sl(2)\) with paragrassmannian variables. Zbl 0904.17012
Abdesselam, B.; Beckers, J.; Chakrabarti, A.; Debergh, N.
2
1996
Fractal structure of silica colloids revisited. Zbl 0925.82224
Sintes, Tomàs; Toral, Raúl; Chakrabarti, Amitabha
1
1996
Representations of \({\mathcal U}_ q(sl(N))\) at roots of unity. Zbl 0864.17016
Abdesselam, B.; Arnaudon, D.; Chakrabarti, A.
4
1995
The fundamental invariant of the Hecke algebra \(\text{H}_ n(q)\) characterizes the representations of \(\text{H}_ n(q)\), \(S_ n\), \(\text{SU}_ q(N)\), and \(\text{SU}(N)\). Zbl 0847.20041
Katriel, J.; Abdesselam, B.; Chakrabarti, A.
4
1995
Representations of \(U_ q(SO(5))\) and non-minimal \(q\)-deformation. Zbl 0860.17023
Abdesselam, B.; Arnaudon, D.; Chakrabarti, A.
2
1995
Generalized abelian Higgs models with self-dual vortices. Zbl 0843.58131
Burzlaff, J.; Chakrabarti, A.; Tchrakian, D. H.
2
1994
SO(5)\(_ q\) and contraction: Chevalley basis representations for \(q\)- generic and root of unity. Zbl 0809.17011
Chakrabarti, A.
2
1994
Generation of Gaussian distributed random numbers by using a numerical inversion method. Zbl 0854.65005
Toral, Raúl; Chakrabarti, Amitabha
3
1993
Axially symmetric instantons in generalized Yang-Mills theory in \(4p\) dimensions. Zbl 0774.58046
Burzlaff, J.; Chakrabarti, A.; Tchrakian, D. H.
1
1993
Canonical structure in SO(4)\(_ q\) and relations to E(3)\(_ q\) and SO(3,1)\(_ q\). Zbl 0785.17012
Chakrabarti, A.
1
1993
\(q\)-analogs of \(IU(n)\) and \(U(n,1)\). Zbl 0738.17007
Chakrabarti, A.
13
1991
Periodic and partially periodic representations of \(\text{SU}(N)_ q\). Zbl 0751.17006
Arnaudon, D.; Chakrabarti, A.
10
1991
Flat periodic representations of \({\mathcal U}_ q({\mathcal G})\). Zbl 0751.17007
Arnaudon, D.; Chakrabarti, A.
6
1991
Geometry of linear pairs for self-dual gauge fields. Zbl 0713.53059
Roiesnel, C.; Chakrabarti, A.
2
1990
Spinors in periodic self-dual gauge field backgrounds. Zbl 0646.58036
Chakrabarti, A.
1
1988
Summable chains of instantons. II: Explicit integration of quantum fluctuation determinants. Zbl 1267.81257
Chakrabarti, A.; Comtet, Alain
2
1981
A note on Sommerfeld’s diffraction problem. Zbl 0477.35004
Sastry, V. V. S. S.; Chakrabarti, A.
1
1979
Lorentz basis of the Poincaré group. II. Zbl 0231.22020
Chakrabarti, A.
7
1971
Remarks on lightlike continuous spin and spacelike representations of the Poincaré group. Zbl 0231.22019
Chakrabarti, A.
5
1971
Class of representations of the IU(n) and IO(n) algebras and respective deformations to U(n,1), O(n,1). Zbl 0177.28302
Chakrabarti, A.
29
1968
’Lorentz basis’ of the Poincaré group. Zbl 0159.29203
Chakrabarti, Amitabha; Levy-Nahas, M.; Seneor, R.
13
1968
On the L-S basis of the Poincaré group for the case of nonzero rest mass. Zbl 0142.22902
Chakrabarti, A.
5
1966
Unified unitary representation of the Poincaregroup for particles of zero and positive rest mass. Zbl 0171.23802
Chakrabarti, A.
4
1966
On the canonical relativistic kinematics of N-particle systems. Zbl 0133.23005
Chakrabarti, A.
4
1964
Applications of the Lorentz transformation properties of canonical spin tensors. Zbl 0141.44901
Chakrabarti, A.
3
1964
On the coupling of 3 angular momenta. Zbl 0129.21602
Chakrabarti, A.
1
1964
Canonical form of the covariant free-particle equations. Zbl 0133.23003
Chakrabarti, A.
11
1963
Relativistic position operator for free particles. Zbl 0133.23004
Chakrabarti, A.
8
1963
On certain representations of the Dirac equation. Zbl 0095.42901
Chakrabarti, A.
1
1960
all top 5

Cited by 227 Authors

34 Chakrabarti, Amithaba
8 Dobrev, Vladimir K.
8 Tchrakian, D. H.
7 Abdesselam, Boucif
7 Radu, Eugen
6 Brihaye, Yves
6 Wong, M. K. F.
5 Baxter, J. Erik
5 Mihov, Stephen G.
5 Yeh, Hsin-Yang
4 Arnaudon, Daniel
3 Crampé, Nicolas
3 Gromov, Nikolai A.
3 Halilsoy, Mustafa
3 Lusanna, Luca
3 Mazharimousavi, S. Habib
3 Ruan, Dong
3 Ruan, Wei
3 Schuster, Philip
3 Toral, Raúl
3 Toro, Natalia
3 Truini, Piero
2 Ballesteros, Angel
2 Bigazzi, Francesco
2 Bostani, N.
2 Chung, Won-Sang
2 Dabrowski, Ludwik
2 D’Andrea, Francesco
2 Daoud, Mohammed
2 Dehghani, Mohammad H.
2 Fakhri, Hossein
2 Herdeiro, Carlos A. R.
2 Klimyk, Anatoliy Ul’yanovich
2 Links, Jon Robert
2 Maekawa, Takayoshi
2 Moses, Harry E.
2 Nagel, John G.
2 Parashar, Deepak
2 Quesne, Christiane
2 Ragoucy, Eric
2 Shreecharan, T.
2 Vanicat, Matthieu
2 Winstanley, Elizabeth
2 Wio, Horacio Sergio
2 Wolf, Kurt Bernardo
2 Yang, Yisong
1 Ahrens, Sven
1 Aizawa, Naruhiko
1 Alawadhi, Rashid
1 Alba, David
1 Ali, Askar
1 Amirabi, Zahra
1 Anderson, Robert Leonard
1 Andruskiewitsch, Nicolás
1 Bacry, Henri
1 Bakri, M. M.
1 Bambah, Bindu A.
1 Bauke, Heiko
1 Bellucci, Stefano
1 Berman, David S.
1 Birman, Joan S.
1 Bishler, Liudmila
1 Bisht, P. S.
1 Bohm, Arno R.
1 Bonfiglioli, Andrea
1 Boya, Luis Joaquín
1 Buchwalter, S. A.
1 Burdík, Čestmír
1 Burzlaff, Jürgen
1 Canfora, Fabrizio
1 Cantoni, Vittorio
1 Chaichian, Masud
1 Chaitanya, K. V. S. Shiv
1 Chakrabarti, Ranabir
1 Chakraborti, Anirban
1 Chari, Vyjayanthi
1 Chen, Linhong
1 Combe, Philippe
1 Comtet, Alain
1 de Azcárraga, José A.
1 de Haro, Sebastian
1 De Wit, David
1 Dëmichev, A. P.
1 Derkachëv, Sergeĭ Èduardovich
1 Du, Guijiao
1 Dunningham, Jacob A.
1 Duran, Ömer
1 Efimov, Dmitry Borisovich
1 El Kinani, El Hassan
1 Ellinas, Demosthenes
1 Fiore, Gaetano
1 Frappat, Luc
1 Fuentes, Miguel Angel
1 Fushchych, Vil’gel’m Illich
1 García-Manzanárez, E.
1 Ge, Molin
1 Genest, Vincent X.
1 Ghaneh, T.
1 Gilmore, Robert
1 Giraldi, João Matheus Jury
...and 127 more Authors

Citations by Year