Abstract
An axiomatic approach to the representation theory of Coxeter groups and their Hecke algebras was presented in [R.M. Adin, F. Brenti, Y. Roichman, A unified construction of Coxeter group representations (I), Adv. Appl. Math., in press, arXiv: math.RT/0309364]. Combinatorial aspects of this construction are studied in this paper. In particular, the symmetric group case is investigated in detail. The resulting representations are completely classified and include the irreducible ones.
Original language | English |
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Pages (from-to) | 208-226 |
Number of pages | 19 |
Journal | Journal of Algebra |
Volume | 306 |
Issue number | 1 |
DOIs | |
State | Published - 1 Dec 2006 |
Bibliographical note
Funding Information:✩ Research of all authors was supported in part by the Israel Science Foundation, founded by the Israel Academy of Sciences and Humanities and by the ECs IHRP Programme, within the Research Training Network “Algebraic Combinatorics in Europe,” Grant HPRN-CT-2001-00272. * Corresponding author. E-mail addresses: [email protected] (R.M. Adin), [email protected] (F. Brenti), [email protected] (Y. Roichman).
Funding
✩ Research of all authors was supported in part by the Israel Science Foundation, founded by the Israel Academy of Sciences and Humanities and by the ECs IHRP Programme, within the Research Training Network “Algebraic Combinatorics in Europe,” Grant HPRN-CT-2001-00272. * Corresponding author. E-mail addresses: [email protected] (R.M. Adin), [email protected] (F. Brenti), [email protected] (Y. Roichman).
Funders | Funder number |
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Israel Academy of Sciences and Humanities | HPRN-CT-2001-00272 |
Israel Science Foundation |