Definition 2.11 . Here F denotes the residue class field of O O. Using the Branching Rule which is a special case of the LittlewoodαRichardson rule
On the Blocks of Modular Hecke Algebras
β Scribed by A.A. Khammash
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 275 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
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
In J , Jones used the Markov traces on the Hecke algebras of type A to construct the knot invariants. Motivated by Jones's work, Lambropoulou w x L introduced the Markov traces on the cyclotomic Hecke algebras of type Ε½ . Ε½ w x . G m, 1, r see GL for the case m s 2 . Since any linear trace function
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