Parabolic subgroup information

Parabolic subgroup may refer to: a parabolic subgroup of a reflection group a subgroup of an algebraic group that contains a Borel subgroup This disambiguation...

algebraic groups. Subgroups between a Borel subgroup B and the ambient group G are called parabolic subgroups. Parabolic subgroups P are also characterized...

reflection groups, the parabolic subgroups are a special kind of subgroup. The precise definition of which subgroups are parabolic depends on context—for...

The homogeneous space defined by a semisimple Lie group modulo a parabolic subgroup, or the curved analog of such a space This disambiguation page lists...

mathematics, parabolic induction is a method of constructing representations of a reductive group from representations of its parabolic subgroups. If G is...

In mathematics, the Siegel parabolic subgroup, named after Carl Ludwig Siegel, is the parabolic subgroup of the symplectic group with abelian radical...

stabilizer subgroup; that is no restriction for F of characteristic zero). If X has an F-rational point, then it is isomorphic to G/P for some parabolic subgroup...

there are exactly 2r conjugacy classes of parabolic subgroups in G over k. Explicitly, the parabolic subgroup corresponding to a given subset S of Δ is...

standard parabolic subgroup of a Coxeter group is a subgroup generated by a subset of its Coxeter generating set. The maximal parabolic subgroups are those...

writes a parabolic subgroup P of a semisimple Lie group as a product P = M A N {\displaystyle P=MAN} of a reductive subgroup M, an abelian subgroup A, and...

theory of parabolic subgroups, and corresponding cuspidal representations. Consider P = M U {\displaystyle P=MU} a standard parabolic subgroup of some reductive...

parahoric subgroup is a proper subgroup that is a finite union of double cosets of an Iwahori subgroup, so is analogous to a parabolic subgroup of an algebraic...

has parabolic subgroups , , , , , . In bracket notation [4,3] has parabolic subgroups [4],[2],[3], and a single mirror []. The order of the subgroup is...

and P to be the parabolic subgroup equal to the semidirect product of L, the complexification of K, with the complex Abelian subgroup exp m + {\displaystyle...

as the parabolic subgroups of Sn when it is viewed as a reflection group. Cayley's theorem states that every group G is isomorphic to a subgroup of some...

Kajdan 1975). The image of a mirabolic subgroup in the projective general linear group is a parabolic subgroup consisting of all elements fixing a given...

decomposition P = MAN writes a parabolic subgroup P of a Lie group as the product of semisimple, abelian, and nilpotent subgroups. The Levi decomposition writes...

G/P, G a linear algebraic group, P a parabolic subgroup. It is a smooth projective variety. If P is a Borel subgroup, it is usually called a flag variety...

a Coxeter group W and a parabolic subgroup P. Ordinary matroids correspond to the case when P is a maximal parabolic subgroup of a symmetric group W....

Levi decomposition of parabolic subgroups of a reductive group is needed to construct a large family of the so-called parabolically induced representations...

loxodromic, and parabolic (restricted) Lorentz transformations, respectively. The effect on the flow lines of the corresponding one-parameter subgroups is to transform...

Siegel's lemma Siegel upper half-space Siegel–Weil formula Siegel parabolic subgroup Smith–Minkowski–Siegel mass formula Riemann–Siegel formula Riemann–Siegel...

Chevalley–Shephard–Todd theorem Reflection groups are related to kaleidoscopes. Parabolic subgroup of a reflection group Coxeter (1934, 1935) Goodman (2004). Coxeter...