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.
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