Basis of Hecke algebras - associated to Coxeter groups - via matrices of inversion for permutations
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 4
Abstract
Applying the matrices of inversion for permutations, we show that every element of S_{n} associates a unique canonical word in the Hecke algebra H_{n-1}(z). That provides an effective and simple algorithm for counting a linear basis of Hecke algebra H_{n}, as binary matrices.
Authors and Affiliations
Elsayed Elrifai
Keywords
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- EP ID EP651734
- DOI 10.24297/jam.v12i4.346
- Views 162
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