Generalization and Deformation of Drinfeld quantum affine algebras

1996/08/01 by Jíntai Ding, Ding, Jintai, Kenji Iohara +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.q-alg/9608002

openalex publication_date 1996/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Drinfeld gave a current realization of the quantum affine algebras as a Hopf algebra with a simple comultiplication for the quantum current operators. In this paper, we will present a generalization of such a realization of quantum Hopf algebras. As a special case, we will choose the structure functions for this algebra to be elliptic functions to derive certain elliptic quantum groups as a Hopf algebra, which degenerates into quantum affine algebras if we take certain degeneration of the structure functions.

Cited by

• Superintegrability for some (q,t)-deformed matrix models
• Vogel's universality and the classification problem for Jacobi identities

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