Orbital integrals and a family of groups attached to a real reductive group

Diana Shelstad

Displaying similar documents to “Orbital integrals and a family of groups attached to a real reductive group”

Weyl group of a cuspidal parabolic

A. W. Knapp (1975)

Annales scientifiques de l'École Normale Supérieure

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Commutativity of intertwining operators for semisimple groups

A. W. Knapp (1982)

Compositio Mathematica

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Characters and inner forms of a quasi-split group over $R$

D. Shelstad (1979)

Compositio Mathematica

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On normal abelian subgroups in parabolic groups

Gerhard Röhrle (1998)

Annales de l'institut Fourier

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Let $G$ be a reductive algebraic group, $P$ a parabolic subgroup of $G$ with unipotent radical $P_{u}$ , and $A$ a closed connected subgroup of $P_{u}$ which is normalized by $P$ . We show that $P$ acts on $A$ with finitely many orbits provided $A$ is abelian. This generalizes a well-known finiteness result, namely the case when $A$ is central in $P_{u}$ . We also obtain an analogous result for the adjoint action of $P$ on invariant linear subspaces of the Lie algebra of $P_{u}$ which are abelian Lie algebras. Finally, we discuss...

A third look at weight diagrams

Nikolai Vavilov (2000)

Rendiconti del Seminario Matematico della Università di Padova

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The Plancherel theorem for general semisimple groups

Rebecca A. Herb, Joseph A. Wolf (1986)

Compositio Mathematica

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Displaying similar documents to “Orbital integrals and a family of groups attached to a real reductive group”

Weyl group of a cuspidal parabolic

Commutativity of intertwining operators for semisimple groups

Characters and inner forms of a quasi-split group over R

On normal abelian subgroups in parabolic groups

A third look at weight diagrams

The Plancherel theorem for general semisimple groups

Characters and inner forms of a quasi-split group over $R$