# Finite-dimensional irreducible modules of the universal DAHA of type (C 1∨,C 1)

3 引文 斯高帕斯（Scopus）

## 摘要

Assume that (Formula presented.) is an algebraically closed field and let q denote a nonzero scalar in (Formula presented.) that is not a root of unity. The universal DAHA (double affine Hecke algebra) (Formula presented.) of type (Formula presented.) is an unital associative (Formula presented.) -algebra defined by generators and relations. The generators are (Formula presented.) and the relations assert that (Formula presented.) In this paper we describe the finite-dimensional irreducible (Formula presented.) -modules from many viewpoints and classify the finite-dimensional irreducible (Formula presented.) -modules up to isomorphism. The proofs are carried out in the language of linear algebra.

原文 ???core.languages.en_GB??? 2856-2883 28 Linear and Multilinear Algebra 70 15 https://doi.org/10.1080/03081087.2020.1817297 已出版 - 2022

## 指紋

• ### 宇拉卡代數及其應用(3/4)

Huang, H.

1/08/1931/07/20

研究計畫: Research