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