Quantum Groups in Two-Dimensional Physics (original) (raw)

Rectangular Yang–Baxter Algebras and Alternating A-Type Integrable Vertex Models

Hugo Montani

International Journal of Geometric Methods in Modern Physics, 2005

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From the braided to the usual Yang-Baxter relation

Marco Rossi

Journal of Physics A: Mathematical and General, 2001

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A braided Yang–Baxter algebra in a theory of two coupled lattice quantum KdV: algebraic properties and ABA representations

Mayuko Fukakusa

Journal of Physics A: Mathematical and General, 2002

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The dynamical Yang–Baxter relation and the minimal representation of the elliptic quantum group

Shaoyou Zhao

Journal of Mathematical Physics, 2003

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Yang–Baxterizations, Universal Quantum Gates and Hamiltonians

Louis H Kauffman

Quantum Information Processing, 2005

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Infinite discrete symmetry group for the Yang-Baxter equations. Vertex models

J-m Maillard, Marc Bellon

Physics Letters B, 1991

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Extraspecial Two-Groups, Generalized Yang-Baxter Equations and Braiding Quantum Gates

Mo-lin Ge, Yong-shi Wu

2007

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Quantum Algebra Structures onn×nMatrices

Louis H Kauffman

Journal of Algebra, 1999

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Integrable spin–boson models descending from rational six-vertex models

Andreas Osterloh

Nuclear Physics B, 2007

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Quantum Affine Symmetry in Vertex Models

Kenji Iohara

International Journal of Modern Physics A, 1993

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A non-symmetric Yang-Baxter Algebra for the Quantum Nonlinear Schrödinger Model

Bart Vlaar

2012

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Yang-Baxter systems, solutions and applications

Ladislav Hlavatý

1997

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On the structure of quantum vertex algebras

Victor Kac

Journal of Mathematical Physics

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Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group

Shahn Majid

Communications in Mathematical Physics, 1993

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A Quantum Affine Algebra for the Deformed Hubbard Chain

Takuya Matsumoto

2011

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25 Years of Quantum Groups: from Definition to Classification

A. Stolin

Acta Polytechnica, 2008

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One-Dimensional Vertex Models Associated with a Class of Yangian Invariant Haldane-Shastry Like Spin Chains

Bireswar Basu-Mallick

Symmetry, Integrability and Geometry: Methods and Applications, 2010

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Affine Quantum Groups

Niall Mackay

Encyclopedia of Mathematical Physics, 2006

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Yang–Baxter algebras, convolution algebras, and Grassmannians

Vassily Gorbunov

Russian Mathematical Surveys, 2020

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The braided Heisenberg group

Shahn Majid

Journal of Mathematical Physics, 1993

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Polyadic Hopf Algebras And Quantum Groups

Steven Duplij

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Multiparametric and Colored Extensions of the Quantum Group GLq(N) and the Yangian Algebra Y(glN) Through a Symmetry Transformation of the Yang-Baxter Equation

B Ramadevi

International Journal of Modern Physics A, 1997

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Modified braid equations, Baxterizations and noncommutative spaces for the quantum groups GLsub q, SOsub q, and Spsub q

Ranabir Chakrabarti

Journal of Mathematical Physics, 2003

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Twisting of graded quantum groups and solutions to the quantum Yang-Baxter equation

Xingting Wang

2021

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Beyond Supersymmetry and Quantum Symmetry (An Introduction to Braided-Groups and Braided-Matrices) 1

Shahn Majid

1992

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Beyond supersymmetry and quantum symmetry (an introduction to braided groups and braided matrices)

Shahn Majid

1992

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A non-symmetric Yang-Baxter algebra for the quantum nonlinear Schrödinger model (PhD Thesis)

Bart Vlaar

2013

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Solutions of the Yang-Baxter Equations from Braided-Lie Algebras and Braided Groups

Shahn Majid

Journal of Knot Theory and Its Ramifications, 1995

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Generalized Yang-Baxter Equations and Braiding Quantum Gates

Rebecca Chen

2011

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Quantum groups and cylinder braiding

Reinhard Oldenburg

Forum Mathematicum, 1998

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Braided groups and algebraic quantum field theories

Shahn Majid

Letters in Mathematical Physics, 1991

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