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MARKOV TRACE ON THE YOKONUMA–HECKE ALGEBRA

✍ Scribed by JUYUMAYA, J.

Book ID
126035146
Publisher
World Scientific Publishing Company
Year
2004
Tongue
English
Weight
248 KB
Volume
13
Category
Article
ISSN
0218-2165

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📜 SIMILAR VOLUMES

Braid Relations in the Yokonuma–Hecke Al
Braid Relations in the Yokonuma–Hecke Algebra
✍ J. Juyumaya; S.Senthamarai Kannan 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 191 KB

In this note, we prove a theorem on a new presentation for the algebra of the endomorphisms of the permutation representation (Yokonuma-Hecke algebra) of a simple Chevalley group with respect to a maximal unipotent subgroup. This presentation is given using certain nonstandard generators.

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✍ Hebing Rui 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 125 KB

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 Ž . Ž w x . G m, 1, r see GL for the case m s 2 . Since any linear trace function

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✍ Ron M. Adin; Alexander Postnikov; Yuval Roichman 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 134 KB

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