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- W2963485993 abstract "Let Wc(A˜n) be the set of fully commutative elements in the affine Coxeter group W(A˜n) of type A˜. We classify the elements of Wc(A˜n) and give a normal form for them. We give a first application of this normal form to fully commutative affine braids. We then use this normal form to define two injections from Wc(A˜n−1) into Wc(A˜n) and examine their properties. We finally consider the tower of affine Temperley–Lieb algebras of type A˜ and use the injections above to prove the injectivity of this tower." @default.
- W2963485993 created "2019-07-30" @default.
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- W2963485993 date "2016-11-01" @default.
- W2963485993 modified "2023-09-26" @default.
- W2963485993 title "Tower of fully commutative elements of type A˜ and applications" @default.
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- W2963485993 doi "https://doi.org/10.1016/j.jalgebra.2016.07.013" @default.
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