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Abstract
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 finitedimensional irreducible (Formula presented.) modules from many viewpoints and classify the finitedimensional irreducible (Formula presented.) modules up to isomorphism. The proofs are carried out in the language of linear algebra.
Original language  English 

Pages (fromto)  28562883 
Number of pages  28 
Journal  Linear and Multilinear Algebra 
Volume  70 
Issue number  15 
DOIs  
State  Published  2022 
Keywords
 20C08
 33D45
 33D80
 Double affine Hecke algebras
 irreducible modules
 universal property
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Dive into the research topics of 'Finitedimensional irreducible modules of the universal DAHA of type (C _{1}^{∨},C _{1})'. Together they form a unique fingerprint.Projects
 1 Finished

The Unversial Racah Algebra and Its Applications(3/4)
Huang, H.W. (PI)
1/08/19 → 31/07/20
Project: Research