✦ LIBER ✦

Double affine Hecke algebras and elliptic Hecke algebras

✍ Scribed by Tadayoshi Takebayashi

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 245 KB
Volume: 253
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(02)00055-8

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Affine Hecke algebras and generalized st

Affine Hecke algebras and generalized standard Young tableaux

✍ Arun Ram 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 426 KB

This paper introduces calibrated representations for affine Hecke algebras and classifies and constructs all finite-dimensional irreducible calibrated representations. The primary technique is to provide indexing sets for controlling the weight space structure of finite-dimensional modules for the a

Infinitesimal Hecke algebras

✍ Ivan Marin 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 103 KB

Hecke algebras and immanants

✍ Gordon James 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 565 KB

Hecke Algebras and Semisimplicity of Mon

Hecke Algebras and Semisimplicity of Monoid Algebras

✍ Mohan S Putcha 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 140 KB

We begin by constructing Hecke algebras for arbitrary finite regular monoids M. We then show that the semisimplicity of the complex monoid algebra ‫ރ‬ M is equivalent to the semisimplicity of the associated Hecke algebras and a condition on induced group characters. We apply these results to finite

Symmetric Cyclotomic Hecke Algebras

✍ Gunter Malle; Andrew Mathas 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 236 KB

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

Units in Hecke Algebras

✍ Dean Alvis 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 144 KB

This paper investigates the conditions under which elements of a standard spanning set of the Hecke algebra of an induced character of a finite group are units. General criteria are developed, as well as results that apply to induced linear characters, permutation representations of nilpotent groups