Results 181 to 190 of about 1,167,226 (217)

Parabolic Orbits of 2-Nilpotent Elements for Classical Groups

Journal of Lie theory, 2018
We consider the conjugation-action of an arbitrary standard parabolic subgroup of the symplectic or the orthogonal group on the variety of nilpotent complex elements of nilpotency degree $2$ in its Lie algebra.
M. Boos, Giovanni Cerulli Irelli, F. Esposito   +2 more
semanticscholar   +1 more source

The restriction of minuscule representations to parabolic subgroups

Mathematical Proceedings of the Cambridge Philosophical Society, 2003
Let \(G\) be a universal Chevalley group over a field \(F\) of any characteristic, with subfield \(E\), with some mild restrictions on \(E\). One considers an irreducible \(FG(E)\)-module \(V\) whose highest weight \(\lambda\) is minuscule. The following description is developed. The weights of \(V\) form an orbit under the Weyl group \(W\).
Parker, Chris, Roehrle, Gerhard
openaire   +3 more sources

Generalized Hua Operators and Parabolic Subgroups

The Annals of Mathematics, 1984
Let G be a connected non compact semisimple group with finite center, and K a maximal compact subgroup. The space \(\Omega =G/K\) is a Riemannian symmetric space. For a parabolic subgroup P of G one defines the Poisson integral \({\mathcal P}_ P: C^{\infty}(G/P)\to C^{\infty}(\Omega)\). This transform extends to a map from the space \({\mathcal B}(P)\)
openaire   +1 more source

PARABOLIC SUBGROUPS AND CUSPIDAL REPRESENTATIONS OF FINITE MONOIDS

International Journal of Algebra and Computation, 1991
This paper is mostly concerned with arbitrary finite monoids M with the complex semigroup algebra [Formula: see text] semisimple. Using the 1942 work of Clifford, we develop for these monoids a theory of cuspidal representations. Harish-Chandra's philosophy of cuspidal representations of finite groups can then be derived with an appropriate ...
Jan Okninski, Mohan S. Putcha
openaire   +2 more sources

Parabolic subgroups in3D4(R)

Journal of Soviet Mathematics, 1984
We describe parabolic subgroups in the Chevalley group of crossed type3D4 over a commutative local ring. Previously the analogous question was considered for groups of normal and certain crossed types in RZhMat, 1976, 10A152; 1977, 10A302; 1978, 6A476; 1980, 5A437.
openaire   +2 more sources

Cells and Parabolic Subgroups

2017
In this chapter, we study the links between the cells of a Coxeter group and those of a parabolic subgroup (Geck’s induction theorem, Lusztig’s restriction theorem, cellular maps). We note that the result on the induction of cellular maps (see Theorems 8.4.4 and 8.4.8) generalizes the construction of the \(\square \)-operation of Kazhdan-Lusztig in two
openaire   +1 more source

On the residual spectrum of split classical groups supported in the Siegel maximal parabolic subgroup

, 2011
Neven Grbac
semanticscholar   +1 more source

Heisenberg Parabolic Subgroup of SO∗(10) and Invariant Differential Operators

Symmetry, 2022
V K Dobrev
exaly  

Parabolic Subgroups, Borel Subgroups, Solvable Groups

2009
In this chapter basic ingredients of the theory of linear algebraic groups are introduced: maximal tori, Borel groups, parabolic subgroups. Fundamental results are the conjugacy theorems for Borel groups and maximal tori (6.2.7 and6.4.1). The structure theory of connected solvable groups is also treated.
openaire   +1 more source

Branching rules for restriction of the Weil representations of Sp(n,R) to its maximal parabolic subgroup CM(n)

, 1998
D. Rowe, J. Repka
semanticscholar   +1 more source