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Published in 2017 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-018-1779-9
Abstract: In this paper we prove a quantum generalization of Regev’s theorems (Israel. J. Math. 195 (2013), 31–35) by applying the Schur–Weyl duality between the quantum superalgebra and Iwahori–Hecke algebra. We also present an alternative proof…
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Keywords:
hecke algebras;
characters iwahori;
iwahori hecke;
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Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.106776
Abstract: We give some properties of parabolic inductions and their adjoint functors for pro-$p$-Iwahori Hecke algebras.
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Keywords:
hecke algebras;
iwahori hecke;
inductions pro;
parabolic inductions ... See more keywords
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Published in 2020 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2020.07.015
Abstract: Abstract James's Conjecture predicts that the adjustment matrix for blocks of the Iwahori-Hecke algebra of the symmetric group is the identity matrix when the weight of the block is strictly less than the characteristic of…
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Keywords:
algebra;
iwahori hecke;
adjustment;
matrix ... See more keywords