Some Remarks on Hecke Algebras
โ Scribed by G.R. Robinson
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 291 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
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 ลฝ . ลฝ w x . G m, 1, r see GL for the case m s 2 . Since any linear trace function
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