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Cyclotomic Hecke Algebras of G( r, p, n).

Cyclotomic Hecke Algebras of G( r, p, n).

Authors :
Lee, Dong-il
Source :
Algebras & Representation Theory; Dec2010, Vol. 13 Issue 6, p705-718, 14p
Publication Year :
2010

Abstract

In this note, we find a monomial basis of the cyclotomic Hecke algebra ${\mathcal{H}_{r,p,n}}$ of G( r, p, n) and show that the Ariki-Koike algebra ${\mathcal{H}_{r,n}}$ is a free module over ${\mathcal{H}_{r,p,n}}$, using the Gröbner-Shirshov basis theory. For each irreducible representation of ${\mathcal{H}_{r,p,n}}$, we give a polynomial basis consisting of linear combinations of the monomials corresponding to cozy tableaux of a given shape. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
1386923X
Volume :
13
Issue :
6
Database :
Complementary Index
Journal :
Algebras & Representation Theory
Publication Type :
Academic Journal
Accession number :
54633053
Full Text :
https://doi.org/10.1007/s10468-009-9170-5