## Abstract In this paper we study the branching problems for the Hecke algebra βοΈ(__D__ ~__n__~ ) of type __D__ ~__n__~ . We explicitly describe the decompositions into irreducible modules of the socle of the restriction of each irreducible βοΈ(__D__ ~__n__~ )βrepresentation to βοΈ(__D__ ~__n__ β1~)
A Multiplication Rule for the Descent Algebra of TypeD
β Scribed by Nantel Bergeron; Stephanie van Willigenburg
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 107 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
Here we give an interpretation of Solomon's rule for multiplication in the descent algebra of Coxeter groups of type D, βΊ D . We describe an ideal I I such n that βΊ D rI I is isomorphic to the descent algebra of the hyperoctahedral group, n βΊ B .
π SIMILAR VOLUMES
In this note we give a formula for the multiplicities of homogenous Gorenstein algebras. Herzog, Huneke, and Srinivasan have conjectured bounds for the multiplicities of homogeneous CohenαMacaulay algebras. Herzog and Srinivasan have proved this conjecture for C-M algebras with quasi-pure resolution
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