Strong multiplicity one theorems for affine Hecke algebras of type A
✍ Scribed by I. Grojnowski; M. Vazirani
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 2001
- Tongue
- English
- Weight
- 805 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1083-4362
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let ᒄ be a semisimple Lie algebra over an algebraically closed field of Ä 4 characteristic zero with a root basis s ␣ , . . . , ␣ , root system ⌬, and Cartan subalgebra ᒅ. One may associate to any non-empty subset Ј n a parabolic subalgebra ᒍ , which is defined by the following root space
Here we give an interpretation of Solomon's rule for multiplication in the descent algebra of Coxeter groups of type D, ⌺ D . We describe an ideal I I such n that ⌺ D rI I is isomorphic to the descent algebra of the hyperoctahedral group, n ⌺ B .
## Abstract We prove a Capelli type theorem on the canonical decomposition for multiplicative convolutions of polynomials. We derive then some irreducibility criteria for convolutions of polynomials in several variables over a given field. The irreducibility conditions are expressed only in terms o