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On the Reductive Monoid Associated to a Parabolic Subgroup [PDF]
Journal of Lie Theory, 2016 Let $G$ be a connected reductive group over a perfect field $k$. We study a certain normal reductive monoid $\overline M$ associated to a parabolic $k$-subgroup $P$ of $G$. The group of units of $\overline M$ is the Levi factor $M$ of $P$. We show that $\
Jonathan Wang
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The parabolic exotic t-structure [PDF]
Épijournal de Géométrie Algébrique, 2018 Let G be a connected reductive algebraic group over an algebraically closed field k, with simply connected derived subgroup. The exotic t-structure on the cotangent bundle of its flag variety T^*(G/B), originally introduced by Bezrukavnikov, has been a ...
Pramod N Achar +2 more
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Large rupture strain cotton ropes hybridized with affordable fiberglass chopped strand mat sheets for enhanced compressive behavior of reinforced concrete columns [PDF]
HeliyonThe hybrid confinement system combines various fiber types within a single matrix, allowing for the adjustment of volumetric ratios to optimize confinement performance.
Panumas Saingam +7 more
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Towards a Supercharacter Theory of Parabolic Subgroups [PDF]
Algebras and Representation Theory, 2017 A supercharacter theory is constructed for the parabolic subgroups of the group GL(n, Fq) with blocks of orders less or equal to two. The author formulated the hypotheses on construction of a supercharacter theory for an arbitrary parabolic subgroup in ...
A. Panov
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COMPACT ORBITS OF PARABOLIC SUBGROUPS [PDF]
Nagoya Mathematical Journal, 2021 AbstractWe study the action of a real reductive group G on a real submanifold X of a Kähler manifold Z. We suppose that the action of a compact connected Lie group U with Lie algebra $\mathfrak {u}$ extends holomorphically to an action of the complexified group $U^{\mathbb {C}}$ and that the U-action on Z is Hamiltonian. If $G\subset U^{\mathbb {C}
LEONARDO BILIOTTI +1 more
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Minimal determining sets for certain $W$-graph ideals [PDF]
International Journal of Group Theory, 2023 We consider Kazhdan-Lusztig cells of the symmetric group $S_n$ containing the longest element of a standard parabolic subgroup of $S_n$. Extending some of the ideas in [Beiträge zur Algebra und Geometrie, 59 (2018) no.~3 523--547] and [Journal of Algebra
Thomas McDonough, Christos Pallikaros
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Gelfand Pairs for Affine Weyl Groups [PDF]
Advances in Group Theory and Applications, 2023 This paper is motivated by several combinatorial actions of the affine Weyl group of type C̃n. Addressing a question of David Vogan, it was shown in an earlier paper that these permutation representations are essentially multiplicity-free.
Pál Hegedüs
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Parabolic subgroups inside parabolic subgroups of Artin groups
Proceedings of the American Mathematical Society, 2023 We prove that a parabolic subgroup P P contained in another parabolic subgroup
Blufstein, Martín, Paris, Luis
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On parabolic subgroups of Artin groups [PDF]
Israel Journal of Mathematics, 2022 Given an Artin group A _Γ, a common strategy in the study of A _Γ is the reduction to parabolic subgroups whose defining graphs have small diameter, i.e., showing that A _Γ has a specific property if and only if all “small” parabolic subgroups of A _Γ ...
Philip Möller +2 more
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Parabolic recursions for Kazhdan–Lusztig polynomials and the hypercube decomposition [PDF]
Selecta Mathematica, 2023 We employ general parabolic recursion methods to demonstrate the recently devised hypercube formula for Kazhdan-Lusztig polynomials of Sn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
M. Gurevich, Chui-Tzu Wang
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