Quantum Toroidal Superalgebras
Language: en
Pages: 132
Authors: Luan Pereira Bezerra
Categories:
Type: BOOK - Published: 2020 - Publisher:

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We introduce the quantum toroidal superalgebra E(m|n) associated with the Lie superalgebra gl(m|n) and initiate its study. For each choice of parity "s" of gl(m
Shuffle Approach Towards Quantum Affine and Toroidal Algebras
Language: en
Pages: 140
Authors: Alexander Tsymbaliuk
Categories: Science
Type: BOOK - Published: 2023-08-07 - Publisher: Springer Nature

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This book is based on the author's mini course delivered at Tokyo University of Marine Science and Technology in March 2019. The shuffle approach to Drinfeld–
Representations of the Quantum Toroidal Algebra on Highest Weight Modules of the Quantum Affine Algebra of Type Gl[subscript N]
Language: en
Pages: 35
Authors: Kouichi Takemura
Categories: Affine algebraic groups
Type: BOOK - Published: 1998 - Publisher:

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Abstract: "A representation of the quantum toroidal algebra of type sl[subscript N] is constructed on every integrable irreducible highest weight module of the
Representations of the Quantum Toroidal Algebra on Highest Weight Modules of the Quantum Affine Algebra of Type $ \frak (gl)_ N $
Language: en
Pages: 35
Infinite Dimensional Algebras and Quantum Integrable Systems
Language: en
Pages: 266
Authors: Petr P. Kulish
Categories: Mathematics
Type: BOOK - Published: 2006-01-17 - Publisher: Springer Science & Business Media

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This volume presents the invited lectures of the workshop "Infinite Dimensional Algebras and Quantum Integrable Systems" held in July 2003 at the University of