Weyl group extension of quantized current algebras

1998/04/29 by Jintai Ding, Jíntai Ding, Ding, Jintai +3 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/9804139

LaTeX, 23pp

arxiv created 1998/04/29 · openalex publication_date 1998/04/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we extend the Drinfeld current realization of quantum affine algebras U_q( ≫) and of the Yangians in several directions: we construct current operators for non-simple roots of ≫, define a new braid group action in terms of the current operators and describe the universal R-matrix for the corresponding ``Drinfeld'' comultiplication in the form of infinite product and in the form of certain integrals over current operators.

Cited by

• Double Yangians and quantum vertex algebras, I

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