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Representation theory of the Yokonuma–Hecke algebra

✍ Scribed by Chlouveraki, Maria; Poulain d'Andecy, Loïc


Book ID
122202155
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
503 KB
Volume
259
Category
Article
ISSN
0001-8708

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📜 SIMILAR VOLUMES


Braid Relations in the Yokonuma–Hecke Al
✍ J. Juyumaya; S.Senthamarai Kannan 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 191 KB

In this note, we prove a theorem on a new presentation for the algebra of the endomorphisms of the permutation representation (Yokonuma-Hecke algebra) of a simple Chevalley group with respect to a maximal unipotent subgroup. This presentation is given using certain nonstandard generators.

Representations of Affine Hecke Algebras
✍ Xi N. 📂 Library 📅 1994 🌐 English ⚖ 543 KB

Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. Combining these results simple Hq-modules can be classified provided that the order of q