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- W3046148862 abstract "Let $mathfrak S_{[i,j]}$ be the subgroup of the symmetric group $mathfrak S_n$ generated by adjacent transpositions $(i,i+1), dotsc, (j-1,j)$, assuming $1 leq i < j leq n$. We give a combinatorial rule for evaluating induced sign characters of the type-$A$ Hecke algebra $H_n(q)$ at all elements of the form $sum_{w in mathfrak S_{[i,j]}} T_w$ and at all products of such elements. This includes evaluation at some elements $C'_w(q)$ of the Kazhdan-Lusztig basis." @default.
- W3046148862 created "2020-08-03" @default.
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- W3046148862 date "2020-07-28" @default.
- W3046148862 modified "2023-09-27" @default.
- W3046148862 title "Total nonnegativity and induced sign characters of the Hecke algebra." @default.
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