Abstract
Assume that is an algebraically closed field and let q denote a nonzero scalar in that is not a root of unity. The universal DAHA (double affine Hecke algebra) of type is an unital associative -algebra defined by generators and relations. The generators are and the relations assert that In this paper we describe the finite-dimensional irreducible -modules from many viewpoints and classify the finite-dimensional irreducible -modules up to isomorphism. The proofs are carried out in the language of linear algebra.
Acknowledgments
The research is supported by the Ministry of Science and Technology of Taiwan under the project MOST 106-2628-M-008-001-MY4.
Disclosure statement
No potential conflict of interest was reported by the author(s).