✦ LIBER ✦

Embeddings of Hecke algebras in group algebras

✍ Scribed by R.B Howlett; G.I Lehrer

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 695 KB
Volume: 105
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(87)90184-0

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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

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

Embeddings of Cohen Algebras

✍ Saharon Shelah; Jindřich Zapletal 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 447 KB

There is another interpretation of the result. Let ( BA(}), < }) denote the class of complete Boolean algebras of uniform density } quasi-ordered by complete embeddability. This quasi-order can be understood as a rough measure of complexity of the algebras concerned. Now BA(+ 0 ) has just one elemen

Semisimplicity of Parabolic Hecke Algebr

Semisimplicity of Parabolic Hecke Algebras

✍ Yasushi Gomi 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 212 KB

The semisimplicity of Iwahori᎐Hecke algebras has been studied by several Ž . authors. A. Gyoja J. Algebra 174, 1995, 553᎐572 gave a necessary and sufficient condition for Iwahori᎐Hecke algebras to be semisimple, using the modular repre-Ž . sentation theory. The author J. Algebra 183, 1996, 514᎐544 s

Residue Construction of Hecke Algebras

✍ Victor Ginzburg; Mikhail Kapranov; Eric Vasserot 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 393 KB

Hecke algebras are usually defined algebraically, via generators and relations. We give a new algebra-geometric construction of affine and double-affine Hecke algebras (the former is known as the Iwahori Hecke algebra, and the latter was introduced by Cherednik) in terms of residues. More generally,

Hecke Algebras of TypeAwithq=−1

✍ Gordon James; Andrew Mathas 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 537 KB

In this paper we study the decomposition matrices of the Hecke algebras of type A with q s y1 over a field of characteristic 0. We give explicit formulae for the columns of the decomposition matrices indexed by all 2-regular partitions with 1 or 2 parts and an algorithm for calculating the columns o