On Endomorphism Algebras Arising from Hecke Algebras
โ Scribed by Hebing Rui
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 128 KB
- Volume
- 214
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
If R is a G-graded associative algebra, where G is an abelian group and โ is a bicharacter for G, then R also has the structure of a Jordan color algebra. In addition, if R is endowed with a color involution ), then the symmetric elements S under ) are also a Jordan color algebra. Generalizing resul
Two actions of the Hecke algebra of type A on the corresponding polynomial ring are studied. Both are deformations of the natural action of the symmetric group on polynomials, and keep symmetric functions invariant. We give an explicit description of these actions, and deduce a combinatorial formula
Let U + be the plus part of the enveloping algebra of a Kac Moody Lie algebra g with a symmetric Cartan datum. In [L1] we have defined a canonical basis of U + under the assumption that the Cartan datum is of finite type; this was later generalized to Cartan data of possibly infinite type in [K, L3]