LAUSR

The based rings of two-sided cells in an affine Weyl group of type $${{\tilde B}_3}$$, I

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2 Published in 2022 at "Science China Mathematics"

DOI: 10.1007/s11425-021-1945-7

Abstract: For type B̃3 we show that Lusztig’s conjecture on the structure of the based ring of two-sided cell corresponding to the unipotent class in Sp6(C) with 3 equal Jordan blocks needs modified. We are concerned… read more here.

Keywords: based ring; affine weyl; two sided; weyl group ... See more keywords

The relation ⩽LR on some elements of the affine Weyl group C˜n

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0 Published in 2017 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2017.01.024

Abstract: Abstract Let ( W , S ) be the affine Weyl group of type C ˜ n with S its Coxeter generator set. Let Λ ‾ 2 n + 1 be the set of all… read more here.

Keywords: weyl group; relation elements; elements affine; affine weyl ... See more keywords

Infinite reduced words, lattice property and braid graph of affine Weyl groups

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1 Published in 2019 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2019.06.032

Abstract: In this paper, we establish a bijection between the infinite reduced words of an affine Weyl group and certain biclosed sets of its positive system and determine all finitely generated biclosed sets in the positive… read more here.

Keywords: weyl; affine weyl; infinite reduced; reduced words ... See more keywords

Combinatorial flip actions and Gelfand pairs for affine Weyl groups

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1 Published in 2021 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2021.10.034

Abstract: Several combinatorial actions of the affine Weyl group of type $\widetilde{C}_{n}$ on triangulations, trees, words and permutations are compared. Addressing a question of David Vogan, we show that, modulo a natural involution, these permutation representations… read more here.

Keywords: actions gelfand; affine weyl; combinatorial flip; gelfand pairs ... See more keywords

On the limits of discrete Painlevé equations associated with the affine Weyl group E8

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1 Published in 2017 at "Journal of Mathematical Physics"

DOI: 10.1063/1.4978330

Abstract: We study the discrete Painleve equations that can be obtained as limits from the equations associated with the affine Weyl group E8(1). We obtain equations associated with the groups E7(1) and E6(1) as well as… read more here.

Keywords: weyl group; associated affine; equations associated; affine weyl ... See more keywords