A decomposition of the descent algebra of the hyperoctahedral group
β Scribed by F Bergeron; N Bergeron
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 475 KB
- Volume
- 148
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
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 .
Let A be a finite-dimensional hereditary algebra over a finite field, and let Ε½ . Ε½ . H H A and C C A be, respectively, the RingelαHall algebra and the composition w x Ε½ . w x algebra of A. Define r to be the element Γ M g H H A , where M runs over d the isomorphism classes of the regular A-modules