Tempered subgroups and representations with minimal decay of matrix coefficients
Hee Oh (1998)
Bulletin de la Société Mathématique de France
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Displaying similar documents to “The Schwartz space of a general semisimple Lie group. IV : elementary mixed wave packets”
Tempered subgroups and representations with minimal decay of matrix coefficients
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We determine the correspondence of infinitesimal characters of representations which occur in Howe's Duality Theorem. In the appendix we identify the lowest K-types, in the sense of Vogan, of the unitary highest weight representations of real reductive dual pairs with at least one member compact.
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Globality in semisimple Lie groups
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In the first section of this paper we give a characterization of those closed convex cones (wedges) in the Lie algebra which are invariant under the maximal compact subgroup of the adjoint group and which are controllable in the associated simply connected Lie group , i.e., for which the subsemigroup generated by the exponential image of agrees with the whole group (Theorem 13). In Section 2 we develop some algebraic tools concerning real root decompositions with respect to...