On Permutation Statistics and Hecke Algebra Characters | Zendy

Yuval Roichman | Zendy

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On Permutation Statistics and Hecke Algebra Characters

Author(s) -

Yuval Roichman

Publication year - 2018

Publication title -

advanced studies in pure mathematics

Language(s) - English

Resource type - Conference proceedings

eISSN - 2433-8915

pISSN - 0920-1971

DOI - 10.2969/aspm/02810287

Subject(s) - coxeter group , mathematics , hecke algebra , permutation (music) , mathematical proof , coxeter complex , algebra over a field , symmetric group , pure mathematics , simple (philosophy) , type (biology) , artin group , philosophy , ecology , physics , geometry , epistemology , acoustics , biology

Irreducible characters of Hecke algebras of type A may be represented as reened counts of simple statistics on suitable subsets of permutations. Such formulas have been generalized to characters of other Coxeter groups and their Hecke algebras and to coinvariant algebras. In this paper we present several formulas, applications to combinatorial identities, and related problems. New results are given with proofs.

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