𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Units in Hecke Algebras

✍ Scribed by Dean Alvis


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
144 KB
Volume
216
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


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, and certain induced representations of finite groups of Lie type.


📜 SIMILAR VOLUMES


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

Hecke Algebras and Semisimplicity of Mon
✍ 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

Stratifying Endomorphism Algebras Associ
✍ Jie Du; Brian Parshall; Leonard Scott 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 544 KB

Let G be a finite group of Lie type and let k be a field of characteristic distinct from the defining characteristic of G. In studying the non-describing representation Ž . Ž G .