Found 78 Documents (Results 1–78)
Modified symmetrized integral in \(G\)-coalgebras. (English) Zbl 1535.57020
Reviewer: Dmitry Artamonov (Moskva)
Serre-Lusztig relations for \(\imath\) quantum groups. (English) Zbl 1484.17022
Reviewer: Huafeng Zhang (Villeneuve d’Ascq)
Holonomy braidings, biquandles and quantum invariants of links with \(\mathsf{SL}_2(\mathbb{C})\) flat connections. (English) Zbl 1441.57010
Reviewer: Theo Johnson-Freyd (Waterloo)
Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions. (English) Zbl 1487.17031
Extended \(T\)-systems, \(Q\) matrices and \(T\)-\(Q\) relations for \(s\ell(2)\) models at roots of unity. (English) Zbl 1509.81593
Scalar products of the elliptic Felderhof model and elliptic Cauchy formula. (English) Zbl 1432.82011
Symmetric functions and wavefunctions of XXZ-type six-vertex models and elliptic felderhof models by Izergin-Korepin analysis. (English) Zbl 1391.82013
Logarithmic link invariants of \(\overline{U}_q^H(\mathfrak{sl}_2)\) and asymptotic dimensions of singlet vertex algebras. (English) Zbl 1433.17015
Cyclic tridiagonal pairs, higher order Onsager algebras and orthogonal polynomials. (English) Zbl 1406.17022
Yokota type invariants derived from non-integral highest weight representations of \(\mathcal U_q(sl_2)\). (English) Zbl 1357.57039
Reviewer: Volodymyr Mazorchuk (Uppsala)
Quasilocal conservation laws from semicyclic irreducible representations of \(\operatorname{U}_q(\mathfrak{sl}_2)\) in XXZ spin-1/2 chains. (English) Zbl 1332.82020
Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity. (English) Zbl 1341.82022
Reviewer: Piotr Garbaczewski (Opole)
Some remarks on the unrolled quantum group of \(\mathfrak{sl}(2)\). (English) Zbl 1355.17010
J. Pure Appl. Algebra 219, No. 8, 3238-3262 (2015); corrigendum 221, No. 3, 749-750 (2017).
MSC:
17B37
Non semi-simple \({\mathfrak {sl}(2)}\) quantum invariants, spin case. (English) Zbl 1345.57019
Reviewer: Kazuo Habiro (Kyoto)
MSC:
57M27
17B37
Quantum invariants of 3-manifolds via link surgery presentations and non-semi-simple categories. (English) Zbl 1320.57016
Reviewer: Daniel Moskovich (Beer-Sheva)
Analogues of Lusztig’s higher order relations for the \(q\)-Onsager algebra. (English) Zbl 1305.81093
Reviewer: Xueqing Chen (Whitewater)
Integrable three-state vertex models with weights lying on genus five curves. (English) Zbl 1282.81103
On the SL\((2,\mathbb C)\) quantum \(6j\)-symbols and their relation to the hyperbolic volume. (English) Zbl 1280.57013
Reviewer: Daniel Moskovich (Singapore)
Continuum limit and symmetries of the periodic \({\mathfrak g}\ell (1|1)\) spin chain. (English) Zbl 1262.81158
Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method. (English) Zbl 1204.82008
Solutions of the T-system and Baxter equations for supersymmetric spin chains. (English) Zbl 1203.82029
Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry. (English) Zbl 1194.82016
Nucl. Phys., B 814, No. 3, 405-438 (2009); erratum ibid. 851, No. 1, 238-243 (2011).
On the colored HOMFLY-PT, multivariable and Kashaev link invariants. (English) Zbl 1182.57007
Reviewer: Ostap M. Davydov (Chelyabinsk)
Logarithmic knot invariants arising from restricted quantum groups. (English) Zbl 1210.57016
MSC:
57M27
17B37
Finite-dimensional irreducible modules for the three-point \(\mathfrak{sl}_2\) loop algebra. (English) Zbl 1207.17030
Reviewer: Juan Núñez Valdés (Sevilla)
Irreducibility criterion for a finite-dimensional highest weight representation of the \(sl_2\) loop algebra and the dimensions of reducible representations. (English) Zbl 1456.82241
Quantum relatives of the Alexander polynomial. (English. Russian original) Zbl 1149.57024
St. Petersbg. Math. J. 18, No. 3, 391-457 (2007); translation from Algebra Anal. 18, No. 3, 63-157 (2006).
Reviewer: Leonid Plachta (Gdansk)
Multivariable link invariants arising from \(\mathfrak {sl}(2|1)\) and the Alexander polynomial. (English) Zbl 1121.57005
MSC:
57M27
17B37
The tetrahedron algebra, the Onsager algebra, and the \(\mathfrak{sl}_2\) loop algebra. (English) Zbl 1163.17026
Lax operator for the quantized orthosymplectic superalgebra \(U_q[\text{osp}(2| n)]\). (English) Zbl 1244.81034
New \(R\)-matrices from representations of braid-monoid algebras based on superalgebras. (English) Zbl 1192.82030
Quantum link invariant from the Lie superalgebra \(\mathfrak D_{2\;1,\alpha}\). (English) Zbl 1103.57011
Reviewer: Phùng Hô Hai (Essen)
MSC:
57M27
17B37
An infinite suite of Links-Gould invariants. (English) Zbl 0999.57015
MSC:
57M27
17B37
Automatic evaluation of the Links-Gould invariant for all prime knots of up to 10 crossings. (English) Zbl 0999.57014
Colored solutions of the Yang-Baxter equation from representations of \(U_q\operatorname{gl}(2)\). (English) Zbl 1005.17013
Classical \(r\)-matrices for the \(\text{osp}(2|2)\) Lie superalgebra. (English) Zbl 0998.17025
Reviewer: Earl J.Taft (New Brunswick)
The irreducible representations of the Hecke category. (English) Zbl 0952.20008
Reviewer: Ruth Lawrence (Ann Arbor)
A nonlinear deformed su(2) algebra with a two-color quasitriangular Hopf structure. (English) Zbl 0872.17012
Reviewer: A.A.Bogush (Minsk)
Colored quantum universal enveloping algebras. (English) Zbl 0889.17003
Reviewer: E.J.Taft (New Brunswick)
Quantum mechanics, knot theory, and quantum doubles. (English) Zbl 0890.57005
Reviewer: R.Lawrence (Ann Arbor)
General eigenvalue formula for Casimir invariants of type I quantum superalgebras. (English) Zbl 0910.17006
Intertwining relations, asymmetric face model, and algebraic Bethe ansatz for \(SU_{p,q} (2)\) invariant spin chain. (English) Zbl 0876.17039
Nonlinear deformed \(\text{su}(2)\) algebras involving two deforming functions. (English) Zbl 0953.81040
Extended reflection equation algebras, the braid group on a handlebody, and associated link polynomials. (English) Zbl 0866.57009
Universal \(R\) matrix of \(\text{U}_ q sl(n,m)\) quantum superalgebras. (English) Zbl 0835.17014
Reviewer: S.Khoroshkin (Moskva)
MSC:
17B37
16W30
Composition of kinetic momenta: The \({\mathcal U}_ q(sl(2))\) case. (English) Zbl 0801.17010
Reviewer: Ma Zhong-Qi (Beijing)
The presentation and \(q\) deformation of special linear Lie superalgebras. (English) Zbl 0798.17015
Reviewer: J.Van der Jeugt (Gent)
Quantum double construction for graded Hopf algebras. (English) Zbl 0801.16037
Reviewer: H.Boseck (Greifswald)
Boson-fermion models for osp(1,2) and \(U_ q{[}\)osp(1,2)\(]\). (English) Zbl 0784.17016
Reviewer: J.Van der Jeugt (Gent)
Braid group representations arising from quantum supergroups with arbitrary \(q\) and link polynomials. (English) Zbl 0781.20026
Differential claculus on the quantum superspace and deformation of phase space. (English) Zbl 0941.46501
Universal \(L\) operator and invariants of the quantum supergroup \(U_{q}(gl(m/n))\). (English) Zbl 0769.17011
Two variable link polynomials from quantum supergroups. (English) Zbl 0777.57005
Reviewer: J.R.Links
Universal \(R\) matrices and invariants of quantum supergroups. (English) Zbl 0759.17011
Reviewer: N.H.Jing (Lawrence)
Free fermions and the Alexander-Conway polynomial. (English) Zbl 0751.57004
Reviewer: H.Saleur
Quantum \(\check R\) matrix for \(E_ 7\) and \(F_ 4\) groups. (English) Zbl 0735.17016
Reviewer: Ye Jiachen (Shanghai)
MSC:
17B37
New link polynomial obtained from octet representation of quantum sl(3) enveloping algebra. (English) Zbl 0719.57010
Quantum groups and representations of monoidal categories. (English) Zbl 0712.17014
Reviewer: Li Wanglai
Filter Results by …
all
top 5
Author
- Patureau-Mirand, Bertrand (12)
- Geer, Nathan (11)
- Gould, Mark D. (7)
- Costantino, Francesco (5)
- Zhang, Ruibin (5)
- Gainutdinov, Azat M. (4)
- Motegi, Kohei (4)
- Blanchet, Christian (3)
- Deguchi, Tetsuo (3)
- Links, Jon Robert (3)
- Matsui, Chihiro (3)
- Murakami, Jun (3)
- Quesne, Christiane (3)
- Saleur, Hubert (3)
- Baseilhac, Pascal (2)
- Bonatsos, Dennis (2)
- Bracken, Anthony J. (2)
- Daskaloyannis, Costas (2)
- De Wit, David (2)
- Frahm, Holger (2)
- Kolokotronis, P. (2)
- Ludu, Andrei (2)
- Ma, Zhongqi (2)
- Read, Nicholas (2)
- Terwilliger, Paul M. (2)
- Vu, Thi Thao (2)
- Anghel, Cristina Ana-Maria (1)
- Arnaudon, Daniel (1)
- Backofen, Olaf J. (1)
- Chen, Xinhong (1)
- Clark, Sean (1)
- Creutzig, Thomas (1)
- Dancer, Karen A. (1)
- De Vega, Héctor J. (1)
- Djemaï, A. E. F. (1)
- Doikou, Anastasia (1)
- Galleas, Wellington (1)
- Ghose Choudhury, Anindya (1)
- Gómez, Cesar A. (1)
- Grimm, Uwe (1)
- Hakobyan, Tigran Stepanovich (1)
- Hao, Wenrui (1)
- Hartwig, Brian (1)
- Hou, Jue (1)
- Ilievski, Enej (1)
- Ito, Tatsuro (1)
- Jiang, Yunfeng (1)
- Juszczak, Cezary (1)
- Kauffman, Louis Hirsch (1)
- Kobayashi, Tatsuo (1)
- Kosuda, Masashi (1)
- Lee, Hoong-Chien (1)
- Lu, Ming (1)
- Luan, Pi-Gang (1)
- Martins, Márcio José (1)
- Medenjak, Marko (1)
- Miao, Yuan (1)
- Milas, Antun (1)
- Mizusawa, Atsuhiko (1)
- Morin-Duchesne, Alexi (1)
- Nagamoto, Koyokazu (1)
- Nepomechie, Rafael I. (1)
- Ngoc Phu Ha (1)
- Pearce, Paul A. (1)
- Pinet, Théo (1)
- Prosen, Tomaž (1)
- Reshetikhin, Nikolai Yu. (1)
- Roan, Shih-shyr (1)
- Roy Chowdhury, Asesh (1)
- Rupert, Matthew (1)
- Saint-Aubin, Yvan (1)
- Sakai, Kazumitsu (1)
- Scheunert, Manfred (1)
- Schwiebert, Christian (1)
- Sedrakyan, Ara (1)
- Sierra, Germán (1)
- Sommese, Andrew John (1)
- Tsohantjis, Ioannis (1)
- Tsuboi, Zengo (1)
- Turaev, Vladimir Georgievich (1)
- Uematsu, Tsuneo (1)
- Viro, Oleg Ya. (1)
- Wang, Weiqiang (1)
- Warnaar, S. Ole (1)
- Watanabe, Satoshi (1)
- Yetter, David N. (1)
- Zadnik, Lenart (1)
- Zhang, Xiaoxia (1)
- Zhang, Yaozhong (1)
all
top 5
Serial
- J. Math. Phys. (18)
- Nucl. Phys., B (12)
- J. Knot Theory Ramifications (4)
- Commun. Math. Phys. (3)
- J. Geom. Phys. (3)
- J. Algebra (3)
- J. Pure Appl. Algebra (3)
- Algebr. Geom. Topol. (3)
- J. Stat. Mech. Theory Exp. (3)
- J. Phys. A, Math. Theor. (3)
- Int. J. Theor. Phys. (2)
- Lett. Math. Phys. (2)
- Bull. Aust. Math. Soc. (1)
- Commun. Algebra (1)
- Math. Proc. Camb. Philos. Soc. (1)
- Acta Math. Vietnam. (1)
- Adv. Math. (1)
- Compos. Math. (1)
- Int. J. Math. (1)
- Linear Algebra Appl. (1)
- Nucl. Phys., B, Proc. Suppl. (1)
- St. Petersbg. Math. J. (1)
- Sel. Math., New Ser. (1)
- Algebr. Represent. Theory (1)
- Commun. Contemp. Math. (1)
- Czech. J. Phys. (1)
- J. Topol. (1)
- Quantum Topol. (1)
- Sci. China, Math. (1)
- Z. Phys., C (1)
- SciPost Phys. (1)