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
Hecke actions on brauer groups
β Scribed by Timothy J. Ford
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 710 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0022-4049
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π SIMILAR VOLUMES
Suppose that (G, T ) is a second countable locally compact transformation group given by a homomorphism l: G Γ Homeo(T ), and that A is a separable continuous-trace C\*-algebra with spectrum T. An action :: G Γ Aut(A) is said to cover l if the induced action of G on T coincides with the original one
## IN MEMORIAM MARY GLAZMAN We shall show that the Hecke order H H of the dihedral group of order 2 ΠΈ p n D n w y1 x over β«ήβ¬ q, q for an odd prime p is a projectively cellular order. We describe the corresponding cell ideals and compute the extension groups between the correw y1 x sponding cell m