𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Iwahori–Hecke Algebras of TypeAat Roots of Unity

✍ Scribed by Frederick M. Goodman; Hans Wenzl

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
314 KB
Volume
215
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

We thank the referee for an exceptionally careful reading of a previous version of this paper and for pointing the way towards several improvements in the exposition. H. W. was supported in part by WSF Grant DMS 9706839. 694

📜 SIMILAR VOLUMES

Decomposition Numbers for Generic Iwahor
Decomposition Numbers for Generic Iwahori–Hecke Algebras of Noncrystallographic Type
✍ Jürgen Müller 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 256 KB

We compute the ⌽ -modular decomposition matrices for the generic e Ž . Iwahori᎐Hecke algebras of type I m for m g ‫,ގ‬ m ) 2, H , and H , for all 2 3 4 e g ‫ގ‬ leading to nontrivial decomposition maps. The results are obtained by a combined use of different ideas from computational representation th

Quantised Function Algebras at Roots of
Quantised Function Algebras at Roots of Unity and Path Algebras
✍ Iain Gordon 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 130 KB

Let G be a semisimple algebraic group and a primitive th root of unity. In this paper we realise certain restricted quantised enveloping algebras of Borel subalgebras of semisimple Lie algebras and the analogue of these restricted enveloping algebras for O G as path algebras of certain quivers. This

The Minimal Basis for the Centre of an I
The Minimal Basis for the Centre of an Iwahori–Hecke Algebra
✍ Andrew Francis 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 217 KB

This paper arose out of an attempt to generalize the q q -1 -basis for the centre of an Iwahori-Hecke algebra q found by Jones to q q -1 and to other types. Considering the Iwahori-Hecke algebra over a subring ξ of q 1/2 q -1/2 , where ξ = q 1/2q -1/2 , we use a new and natural definition of positiv