Polynomial identities on Reflection Equation Algebra

Low-Dimensional Models in Statistical Physics and Quantum Field Theory - Lecture Notes in Physics ◽

10.1007/bfb0102572 ◽

2007 ◽

pp. 315-320

Author(s):

P. N. Pyatov ◽

P. A. Saponov

Keyword(s):

Polynomial Identities ◽

Reflection Equation ◽

Reflection Equation Algebra

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Reflection equation algebra in braided geometry

Journal of Generalized Lie Theory and Applications ◽

10.4303/jglta/s070313 ◽

2008 ◽

Vol 2 (3) ◽

pp. 162-174

Author(s):

Dimitri Gurevich ◽

Pavel Pyatov ◽

Pavel Saponov

Keyword(s):

Reflection Equation ◽

Reflection Equation Algebra

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The prime spectrum and representation theory of the 2 × 2 reflection equation algebra

Communications in Algebra ◽

10.1080/00927872.2018.1501573 ◽

2019 ◽

Vol 47 (3) ◽

pp. 1153-1196

Author(s):

Ebrahim Ebrahim

Keyword(s):

Representation Theory ◽

Prime Spectrum ◽

Reflection Equation ◽

Reflection Equation Algebra

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The center of the reflection equation algebra via quantum minors

Journal of Algebra ◽

10.1016/j.jalgebra.2019.08.038 ◽

2020 ◽

Vol 542 ◽

pp. 308-342

Author(s):

David Jordan ◽

Noah White

Keyword(s):

Reflection Equation ◽

Reflection Equation Algebra

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Representation theory of (modified) reflection equation algebra of $GL(m|n)$ type

St Petersburg Mathematical Journal ◽

10.1090/s1061-0022-09-01045-0 ◽

2009 ◽

Vol 20 (2) ◽

pp. 213-253 ◽

Cited By ~ 9

Author(s):

D. Gurevich ◽

P. Pyatov ◽

P. Saponov

Keyword(s):

Representation Theory ◽

Reflection Equation ◽

Reflection Equation Algebra

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From Reflection Equation Algebra to Braided Yangians

Recent Developments in Integrable Systems and Related Topics of Mathematical Physics - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-04807-5_7 ◽

2018 ◽

pp. 107-129 ◽

Cited By ~ 1

Author(s):

Dimitri Gurevich ◽

Pavel Saponov

Keyword(s):

Reflection Equation ◽

Reflection Equation Algebra

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Reflection equation algebra in braided geometry 1

Journal of Generalized Lie Theory and Applications ◽

10.4172/1736-4337.1000131 ◽

2008 ◽

Vol 02 (03) ◽

Author(s):

Dimitri GUREVICH ◽

Pavel PYATOV

Keyword(s):

Reflection Equation ◽

Reflection Equation Algebra

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Higher-Dimensional Representations of the Reflection Equation Algebra

Theoretical and Mathematical Physics ◽

10.1023/b:tamp.0000022741.80096.b3 ◽

2004 ◽

Vol 139 (1) ◽

pp. 486-499

Author(s):

D. I. Gurevich ◽

P. A. Saponov

Keyword(s):

Reflection Equation ◽

Reflection Equation Algebra ◽

Higher Dimensional

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Supersymmetric Extension of the Reflection Equation Algebra and Integrable Boundary Conditions in Doped Spin-1 Model

Journal of the Physical Society of Japan ◽

10.1143/jpsj.75.124004 ◽

2006 ◽

Vol 75 (12) ◽

pp. 124004

Author(s):

Xiang-Yu Ge ◽

Miki Wadati

Keyword(s):

Boundary Conditions ◽

Supersymmetric Extension ◽

Reflection Equation ◽

Reflection Equation Algebra ◽

Integrable Boundary Conditions

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The Poisson bracket compatible with the classical reflection equation algebra

Regular and Chaotic Dynamics ◽

10.1134/s1560354708030052 ◽

2008 ◽

Vol 13 (3) ◽

pp. 191-203 ◽

Cited By ~ 9

Author(s):

A. V. Tsiganov

Keyword(s):

Poisson Bracket ◽

Reflection Equation ◽

Reflection Equation Algebra

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The Weyl approach to the representation theory of reflection equation algebra

Journal of Physics A General Physics ◽

10.1088/0305-4470/37/18/008 ◽

2004 ◽

Vol 37 (18) ◽

pp. 5021-5046 ◽

Cited By ~ 3

Author(s):

P A Saponov

Keyword(s):

Representation Theory ◽

Reflection Equation ◽

Reflection Equation Algebra

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