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. |
|
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. |
|
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. |
|
2003
|
\(q\)-analogs of \(IU(n)\) and \(U(n,1)\). Zbl 0738.17007
Chakrabarti, A. |
|
1991
|
’Lorentz basis’ of the Poincaré group. Zbl 0159.29203
Chakrabarti, Amitabha; Levy-Nahas, M.; Seneor, R. |
|
1968
|
On nonlinear angular momentum theories, their representations and associated Hopf structures. Zbl 0894.17003
Abdesselam, B.; Beckers, J.; Chakrabarti, A.; Debergh, N. |
|
1996
|
Canonical form of the covariant free-particle equations. Zbl 0133.23003
Chakrabarti, A. |
|
1963
|
Periodic and partially periodic representations of \(\text{SU}(N)_ q\). Zbl 0751.17006
Arnaudon, D.; Chakrabarti, A. |
|
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. |
|
2001
|
Canonical factorization and diagonalization of Baxterized braid matrices: explicit constructions and applications. Zbl 1063.17012
Chakrabarti, A. |
|
2003
|
Relativistic position operator for free particles. Zbl 0133.23004
Chakrabarti, A. |
|
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. |
|
2003
|
Lorentz basis of the Poincaré group. II. Zbl 0231.22020
Chakrabarti, A. |
|
1971
|
A nested sequence of projectors and corresponding braid matrices \(\widehat R(\theta)\). I: Odd dimensions. Zbl 1110.82019
Chakrabarti, A. |
|
2005
|
Duality for exotic bialgebras. Zbl 1129.81325
Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G. |
|
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. |
|
1996
|
Flat periodic representations of \({\mathcal U}_ q({\mathcal G})\). Zbl 0751.17007
Arnaudon, D.; Chakrabarti, A. |
|
1991
|
Nested sequence of projectors. II: Multiparameter multistate statistical models, Hamiltonians, \(S\)-matrices. Zbl 1111.82012
Abdesselam, B.; Chakrabarti, A. |
|
2006
|
Remarks on lightlike continuous spin and spacelike representations of the Poincaré group. Zbl 0231.22019
Chakrabarti, A. |
|
1971
|
On the L-S basis of the Poincaré group for the case of nonzero rest mass. Zbl 0142.22902
Chakrabarti, A. |
|
1966
|
Higher dimensional unitary braid matrices: construction, associated structures, and entanglements. Zbl 1144.81301
Abdesselam, B.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G. |
|
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. |
|
2003
|
Representations of \({\mathcal U}_ q(sl(N))\) at roots of unity. Zbl 0864.17016
Abdesselam, B.; Arnaudon, D.; Chakrabarti, A. |
|
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. |
|
1995
|
On the canonical relativistic kinematics of N-particle systems. Zbl 0133.23005
Chakrabarti, A. |
|
1964
|
Unified unitary representation of the Poincaregroup for particles of zero and positive rest mass. Zbl 0171.23802
Chakrabarti, A. |
|
1966
|
Higher dimensional multiparameter unitary and nonunitary braid matrices: even dimensions. Zbl 1152.81302
Abdesselam, B.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G. |
|
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. |
|
2005
|
Modified braid equations for \(\text{SO}_q(3)\) and noncommutative spaces. Zbl 1059.81093
Chakrabarti, A. |
|
2002
|
Duality and representations for new exotic bialgebras. Zbl 1060.81041
Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G. |
|
2002
|
Exotic bialgebra \(S03\): representations, Baxterisation and applications. Zbl 1228.16035
Arnaudon, Daniel; Chakrabarti, Amithaba; Dobrev, Vladimir K.; Mihov, Stephen G. |
|
2006
|
Generation of Gaussian distributed random numbers by using a numerical inversion method. Zbl 0854.65005
Toral, Raúl; Chakrabarti, Amitabha |
|
1993
|
\(RTT\) relations, a modified braid equation and noncommutative planes. Zbl 1005.58004
Chakrabarti, A. |
|
2001
|
Applications of the Lorentz transformation properties of canonical spin tensors. Zbl 0141.44901
Chakrabarti, A. |
|
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. |
|
1996
|
Summable chains of instantons. II: Explicit integration of quantum fluctuation determinants. Zbl 1267.81257
Chakrabarti, A.; Comtet, Alain |
|
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. |
|
2000
|
Jordanian quantum algebra \(\mathcal U_{\text h}({sl}(N))\) via contraction method and mapping. Zbl 1045.81036
Abdesselam, B.; Chakrabarti, A.; Chakrabarti, R. |
|
2002
|
Representations of \(U_ q(SO(5))\) and non-minimal \(q\)-deformation. Zbl 0860.17023
Abdesselam, B.; Arnaudon, D.; Chakrabarti, A. |
|
1995
|
Generalized abelian Higgs models with self-dual vortices. Zbl 0843.58131
Burzlaff, J.; Chakrabarti, A.; Tchrakian, D. H. |
|
1994
|
SO(5)\(_ q\) and contraction: Chevalley basis representations for \(q\)- generic and root of unity. Zbl 0809.17011
Chakrabarti, A. |
|
1994
|
Geometry of linear pairs for self-dual gauge fields. Zbl 0713.53059
Roiesnel, C.; Chakrabarti, A. |
|
1990
|
Entangled states, Lorentz transformations and spin precession in magnetic fields. Zbl 1166.81008
Chakrabarti, A. |
|
2009
|
On a deformation of \(sl(2)\) with paragrassmannian variables. Zbl 0904.17012
Abdesselam, B.; Beckers, J.; Chakrabarti, A.; Debergh, N. |
|
1996
|
Unitary braid matrices: bridge between topological and quantum entanglements. Zbl 1264.81238
Abdesselam, B.; Chakrabarti, A. |
|
2010
|
A note on Sommerfeld’s diffraction problem. Zbl 0477.35004
Sastry, V. V. S. S.; Chakrabarti, A. |
|
1979
|
Quantum entanglement: the unitary 8-vertex braid matrix with imaginary rapidity. Zbl 1204.81027
Chakrabarti, Amitabha; Chakraborti, Anirban; Jedidi, Aymen |
|
2010
|
A new eight vertex model and higher dimensional, multiparameter generalizations. Zbl 1152.81301
Abdesselam, B.; Chakrabarti, A. |
|
2008
|
New class \(\widehat o_{N}\) of statistical models: transfer matrix eigenstates, chain Hamiltonians, factorizable s matrix. Zbl 1112.82009
Abdesselam, B.; Chakrabarti, A. |
|
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. |
|
1999
|
Spinors in periodic self-dual gauge field backgrounds. Zbl 0646.58036
Chakrabarti, A. |
|
1988
|
Fractal structure of silica colloids revisited. Zbl 0925.82224
Sintes, Tomàs; Toral, Raúl; Chakrabarti, Amitabha |
|
1996
|
Axially symmetric instantons in generalized Yang-Mills theory in \(4p\) dimensions. Zbl 0774.58046
Burzlaff, J.; Chakrabarti, A.; Tchrakian, D. H. |
|
1993
|
Canonical structure in SO(4)\(_ q\) and relations to E(3)\(_ q\) and SO(3,1)\(_ q\). Zbl 0785.17012
Chakrabarti, A. |
|
1993
|
On super-Jordanian \(\mathcal U_{\mathsf h}\) algebra. Zbl 1105.81046
Abdesselam, B.; Chakrabarti, A.; Chakrabarti, R.; Yanallah, A.; Zahaf, M. B. |
|
2006
|
On the coupling of 3 angular momenta. Zbl 0129.21602
Chakrabarti, A. |
|
1964
|
On certain representations of the Dirac equation. Zbl 0095.42901
Chakrabarti, A. |
|
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. |
|
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. |
|
2012
|
Unitary braid matrices: bridge between topological and quantum entanglements. Zbl 1264.81238
Abdesselam, B.; Chakrabarti, A. |
|
2010
|
Quantum entanglement: the unitary 8-vertex braid matrix with imaginary rapidity. Zbl 1204.81027
Chakrabarti, Amitabha; Chakraborti, Anirban; Jedidi, Aymen |
|
2010
|
Entangled states, Lorentz transformations and spin precession in magnetic fields. Zbl 1166.81008
Chakrabarti, A. |
|
2009
|
A new eight vertex model and higher dimensional, multiparameter generalizations. Zbl 1152.81301
Abdesselam, B.; Chakrabarti, A. |
|
2008
|
Higher dimensional unitary braid matrices: construction, associated structures, and entanglements. Zbl 1144.81301
Abdesselam, B.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G. |
|
2007
|
Higher dimensional multiparameter unitary and nonunitary braid matrices: even dimensions. Zbl 1152.81302
Abdesselam, B.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G. |
|
2007
|
Nested sequence of projectors. II: Multiparameter multistate statistical models, Hamiltonians, \(S\)-matrices. Zbl 1111.82012
Abdesselam, B.; Chakrabarti, A. |
|
2006
|
Exotic bialgebra \(S03\): representations, Baxterisation and applications. Zbl 1228.16035
Arnaudon, Daniel; Chakrabarti, Amithaba; Dobrev, Vladimir K.; Mihov, Stephen G. |
|
2006
|
New class \(\widehat o_{N}\) of statistical models: transfer matrix eigenstates, chain Hamiltonians, factorizable s matrix. Zbl 1112.82009
Abdesselam, B.; Chakrabarti, A. |
|
2006
|
On super-Jordanian \(\mathcal U_{\mathsf h}\) algebra. Zbl 1105.81046
Abdesselam, B.; Chakrabarti, A.; Chakrabarti, R.; Yanallah, A.; Zahaf, M. B. |
|
2006
|
A nested sequence of projectors and corresponding braid matrices \(\widehat R(\theta)\). I: Odd dimensions. Zbl 1110.82019
Chakrabarti, A. |
|
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. |
|
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. |
|
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. |
|
2003
|
Canonical factorization and diagonalization of Baxterized braid matrices: explicit constructions and applications. Zbl 1063.17012
Chakrabarti, A. |
|
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. |
|
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. |
|
2003
|
Modified braid equations for \(\text{SO}_q(3)\) and noncommutative spaces. Zbl 1059.81093
Chakrabarti, A. |
|
2002
|
Duality and representations for new exotic bialgebras. Zbl 1060.81041
Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G. |
|
2002
|
Jordanian quantum algebra \(\mathcal U_{\text h}({sl}(N))\) via contraction method and mapping. Zbl 1045.81036
Abdesselam, B.; Chakrabarti, A.; Chakrabarti, R. |
|
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. |
|
2001
|
Duality for exotic bialgebras. Zbl 1129.81325
Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G. |
|
2001
|
\(RTT\) relations, a modified braid equation and noncommutative planes. Zbl 1005.58004
Chakrabarti, A. |
|
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. |
|
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. |
|
1999
|
On nonlinear angular momentum theories, their representations and associated Hopf structures. Zbl 0894.17003
Abdesselam, B.; Beckers, J.; Chakrabarti, A.; Debergh, N. |
|
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. |
|
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. |
|
1996
|
On a deformation of \(sl(2)\) with paragrassmannian variables. Zbl 0904.17012
Abdesselam, B.; Beckers, J.; Chakrabarti, A.; Debergh, N. |
|
1996
|
Fractal structure of silica colloids revisited. Zbl 0925.82224
Sintes, Tomàs; Toral, Raúl; Chakrabarti, Amitabha |
|
1996
|
Representations of \({\mathcal U}_ q(sl(N))\) at roots of unity. Zbl 0864.17016
Abdesselam, B.; Arnaudon, D.; Chakrabarti, A. |
|
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. |
|
1995
|
Representations of \(U_ q(SO(5))\) and non-minimal \(q\)-deformation. Zbl 0860.17023
Abdesselam, B.; Arnaudon, D.; Chakrabarti, A. |
|
1995
|
Generalized abelian Higgs models with self-dual vortices. Zbl 0843.58131
Burzlaff, J.; Chakrabarti, A.; Tchrakian, D. H. |
|
1994
|
SO(5)\(_ q\) and contraction: Chevalley basis representations for \(q\)- generic and root of unity. Zbl 0809.17011
Chakrabarti, A. |
|
1994
|
Generation of Gaussian distributed random numbers by using a numerical inversion method. Zbl 0854.65005
Toral, Raúl; Chakrabarti, Amitabha |
|
1993
|
Axially symmetric instantons in generalized Yang-Mills theory in \(4p\) dimensions. Zbl 0774.58046
Burzlaff, J.; Chakrabarti, A.; Tchrakian, D. H. |
|
1993
|
Canonical structure in SO(4)\(_ q\) and relations to E(3)\(_ q\) and SO(3,1)\(_ q\). Zbl 0785.17012
Chakrabarti, A. |
|
1993
|
\(q\)-analogs of \(IU(n)\) and \(U(n,1)\). Zbl 0738.17007
Chakrabarti, A. |
|
1991
|
Periodic and partially periodic representations of \(\text{SU}(N)_ q\). Zbl 0751.17006
Arnaudon, D.; Chakrabarti, A. |
|
1991
|
Flat periodic representations of \({\mathcal U}_ q({\mathcal G})\). Zbl 0751.17007
Arnaudon, D.; Chakrabarti, A. |
|
1991
|
Geometry of linear pairs for self-dual gauge fields. Zbl 0713.53059
Roiesnel, C.; Chakrabarti, A. |
|
1990
|
Spinors in periodic self-dual gauge field backgrounds. Zbl 0646.58036
Chakrabarti, A. |
|
1988
|
Summable chains of instantons. II: Explicit integration of quantum fluctuation determinants. Zbl 1267.81257
Chakrabarti, A.; Comtet, Alain |
|
1981
|
A note on Sommerfeld’s diffraction problem. Zbl 0477.35004
Sastry, V. V. S. S.; Chakrabarti, A. |
|
1979
|
Lorentz basis of the Poincaré group. II. Zbl 0231.22020
Chakrabarti, A. |
|
1971
|
Remarks on lightlike continuous spin and spacelike representations of the Poincaré group. Zbl 0231.22019
Chakrabarti, A. |
|
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. |
|
1968
|
’Lorentz basis’ of the Poincaré group. Zbl 0159.29203
Chakrabarti, Amitabha; Levy-Nahas, M.; Seneor, R. |
|
1968
|
On the L-S basis of the Poincaré group for the case of nonzero rest mass. Zbl 0142.22902
Chakrabarti, A. |
|
1966
|
Unified unitary representation of the Poincaregroup for particles of zero and positive rest mass. Zbl 0171.23802
Chakrabarti, A. |
|
1966
|
On the canonical relativistic kinematics of N-particle systems. Zbl 0133.23005
Chakrabarti, A. |
|
1964
|
Applications of the Lorentz transformation properties of canonical spin tensors. Zbl 0141.44901
Chakrabarti, A. |
|
1964
|
On the coupling of 3 angular momenta. Zbl 0129.21602
Chakrabarti, A. |
|
1964
|
Canonical form of the covariant free-particle equations. Zbl 0133.23003
Chakrabarti, A. |
|
1963
|
Relativistic position operator for free particles. Zbl 0133.23004
Chakrabarti, A. |
|
1963
|
On certain representations of the Dirac equation. Zbl 0095.42901
Chakrabarti, A. |
|
1960
|