In this paper we prove that the generic cyclotomic Hecke algebras for imprimitive complex reflection groups are symmetric over any ring containing inverses of the parameters. For this we show that the determinant of the Gram matrix of a certain canonical symmetrizing form introduced by K. Bremke and
Quasisplit Hecke algebras and symmetric spaces
โ Scribed by Lusztig, George; Vogan Jr., David A.
- Book ID
- 125475890
- Publisher
- Duke University Press
- Year
- 2014
- Tongue
- English
- Weight
- 381 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0012-7094
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We define a new action of the symmetric group and its Hecke algebra on polynomial rings whose invariants are exactly the quasi-symmetric polynomials. We interpret this construction in terms of a Demazure character formula for the irreducible polynomial modules of a degenerate quantum group. We use t
Directed at graduate students and mathematicians, this book covers an unusual set of interrelated topics, presenting a self-contained exposition of the algebra behind the Jones polynomial along with various excursions into related areas. The book is made up of lecture notes from a course taught by G