Open AccessBasis of Hecke algebras - associated to Coxeter groups - via matrices of inversion for permutations
Author(s) -
E. A. Elrifai
Publication year - 2016
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v12i4.346
Subject(s) - mathematics , coxeter group , hecke algebra , basis (linear algebra) , coxeter element , inversion (geology) , pure mathematics , coxeter complex , standard basis , combinatorics , algebra over a field , artin group , geometry , paleontology , structural basin , biology
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.
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