𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Idempotents of Hecke Algebras

✍ Scribed by A. P. Isaev; A. I. Molev; A. F. Os’kin


Publisher
Springer
Year
2008
Tongue
English
Weight
184 KB
Volume
85
Category
Article
ISSN
0377-9017

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Operator Algebras of Idempotents
✍ Vern I. Paulsen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 167 KB

We introduce the concept of a matricial Schur ideal, which serves as a dual object for operator algebras generated by a finite set of idempotents. Using matricial Schur ideals and some factorization theorems for tensor products of operator algebras, we are able to obtain matrix-valued interpolation

On positivity in Hecke algebras
✍ M. J. Dyer; G. L. Lehrer 📂 Article 📅 1990 🏛 Springer 🌐 English ⚖ 425 KB

Let W be the Hecke algebra associated with a Coxeter system (W, R). The structure constants of Jf with respect to various bases are Laurent polynomials, whose coefficients enjoy remarkable positivity properties. We survey these and prove some new ones using the relationship between W and the geometr