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Hecke Algebras of Normalizers of Parabolic Subgroups
Algebras and Representation Theory, 2022 31 ...
Gobet, Thomas, Marin, Ivan
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Parabolic subgroups of complex braid groups I
, 2023 63 pagesIn this paper we introduce a class of `parabolic' subgroups for the generalized braid group associated to an arbitrary irreducible complex reflection group, which maps onto the collection of parabolic subgroups of the reflection group. Except for
Marin, Ivan, González-Meneses, Juan
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Generalising quasinormal subgroups [PDF]
, 2012 In Cossey and Stonehewer ['On the rarity of quasinormal subgroups', Rend. Semin. Mat. Univ. Padova 125 (2011), 81-105] it is shown that for any odd prime p and integer n >= 3, there is a finite p-group G of exponent p(n) containing a quasinormal subgroup
Stonehewer, Stewart Edward +1 more
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A Plancherel Formula for Parabolic Subgroups [PDF]
Transactions of the American Mathematical Society, 1990 We obtain explicit Plancherel formulas for the parabolic subgroups P P of
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Tits alternatives for graph products
, 2015 We discuss various types of Tits Alternative for subgroups of graph products of groups, and prove that, under some natural conditions, a graph product of groups satisfies a given form of Tits Alternative if and only if each vertex group satisfies this ...
Antolin, Yago, Minasyan, Ashot
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Finite element multistep multideriavative schemes for parabolic equations [PDF]
, 1976 The linear, homogeneous, parabolic equation is solved by applying finite element discretizations in space and A0 —stable, linear multistep, multiderivative (L.M.S.D.) methods in time. Such schemes are unconditionally stable. An error analysis establishes
Moore, P
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On parabolic subgroups of Artin-Tits groups
, 2022 We address the conjecture which states that an intersection of parabolic subgroups of an Artin-Tits group is a parabolic subgroup. We prove that the conjecture is equivalent to a, a priori, weaker conjecture.
Godelle, Eddy
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Gauss decomposition for Chevalley groups, revisited [PDF]
International Journal of Group Theory, 2012 In the 1960's Noboru Iwahori and Hideya Matsumoto, Eiichi Abe and Kazuo Suzuki, and Michael Stein discovered that Chevalley groups $G=G(Phi,R)$ over a semilocal ring admit remarkable Gauss decomposition $G=TUU^-U$, where $T=T(Phi,R)$ is a split maximal ...
A. Smolensky, B. Sury, N. Vavilov
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Conjugacy Classes in Maximal Parabolic Subgroups of General Linear Groups [PDF]
, 1999 this paper, we describe conjugacy classes in maximal parabolic subgroups. This can be considered as a step towards a better understanding of the representation theory of parabolic subgroups of reductive algebraic groups. A maximal parabolic subgroup G =
Murray, Scott +2 more
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Intersection of parabolic subgroups in Euclidean braid groups: a short proof
Comptes Rendus. MathématiqueWe give a short proof for the fact, already proven by Thomas Haettel, that the arbitrary intersection of parabolic subgroups in Euclidean Braid groups $A[\tilde{A}_n]$ is again a parabolic subgroup. To that end, we use that the spherical-type Artin group
Cumplido, María +2 more
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