Results 171 to 180 of about 1,167,226 (217)

On Trinity of Parabolic Subgroups

On Trinity of Parabolic Subgroups
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On the nilradical of a parabolic subgroup

Progress in Mathematics, 2014
We present various approaches to understanding the structure of the nilradical of parabolic subgroups in type A. In particular, we consider the complement of the open dense orbit and describe its irreducible components.
Karin Baur
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Fourier expansion of holomorphic Siegel modular forms with respect to the minimal parabolic subgroup

Mathematische Zeitschrift, 1999
Hiro-aki Narita
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The Dual of a Parabolic Subgroup and a Degenerate Principal Series of Sp(n, C)

American Journal of Mathematics, 1971
Kenneth I Gross
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Fields of invariants for unipotent radicals of parabolic subgroups

Linear and multilinear algebra, 2022
The paper is devoted to the problem of finding free generators in the fields of invariants for actions of unipotent groups on affine varieties. We consider the case when the unipotent group is the unipotent radical in an arbitrary parabolic subgroup in ...
A. Panov
semanticscholar   +1 more source

The Plancherel Formula for parabolic subgroups

Israel Journal of Mathematics, 1977
We prove an explicit Plancherel Formula for the parabolic subgroups of the simple Lie groups of real rank one. The key point of the formula is that the operator which compensates lack of unimodularity is given, not as a family of implicitly defined operators on the representation spaces, but rather as an explicit pseudo-differential operator on the ...
Keene, Frederick W., Lipsman, Ronald L., Wolf, Joseph A.   +2 more
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Parabolic subgroups

2000
Abstract Subgroups that deserve special attention are those which share defining properties of their parent groups. In the case of a Coxeter group W with its distinguished generating set S, a subgroup generated by a subset of S is a Coxeter group in its own right.
Meinolf Geck, Golz Pfeiffer
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The Structure of Parabolic Subgroups

Journal of Lie Theory, 2004
For a real connected simple noncompact Lie group \(G\) with Iwasawa decomposition \(G=KAN\) the structure of the subgroup \(M=Z(A)\cap K\) is known in case \(G\) is a linear group. The subgroup \(B=MAN\) is a minimal parabolic subgroup of \(G\) and since \(A\) is a vector group and \(N\) is simply connected nilpotent, the topological structure of \(B\)
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Extensions of Homomorphisms of Parabolic Subgroups

Canadian Journal of Mathematics, 1972
If one wishes to construct a homomorphism of a group, an obvious approach is to begin with a homomorphism of a subgroup and attempt to extend it in some way. Any such extended homomorphism is determined by its action on elements of the group which, together with the subgroup ...
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Subalgebras and Parabolic Subgroups

1998
The key to understanding the geometrical structure of the compactifications of symmetric spaces of non-compact type is given by the family of parabolic subgroups of G. In this chapter the relation between these subgroups and sets of simple roots is discussed. Additional details for matters treated in this chapter may be found in Helgason [H2] or Warner
Yves Guivarc’h, Lizhen Ji, J. C. Taylor   +2 more
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