Cyclic generators for irreducible representations of affine Hecke algebras
Valentina Guizzi (Universita' Roma Tre), Maxim Nazarov (University of, York), Paolo Papi (Sapienza Universita' di Roma)
TL;DR
This paper details a combinatorial method, originally by Cherednik, for constructing cyclic generators of irreducible modules in affine Hecke algebras associated with the general linear group, applicable for generic q.
Contribution
It provides a comprehensive account of Cherednik's combinatorial construction for cyclic generators in affine Hecke algebra modules.
Findings
Explicit combinatorial construction of cyclic generators
Applicable to irreducible modules of affine Hecke algebras
Works for generic parameter q
Abstract
We give a detailed account of a combinatorial construction, due to Cherednik, of cyclic generators for irreducible modules of the affine Hecke algebra of the general linear group with generic parameter q.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Advanced Combinatorial Mathematics