2011•arXiv (Cornell University)Open access

Minimal representations of simple real Lie groups of non Hermitian type

Dehbia Achab

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Abstract

In the recent paper [AF12], we introduced an analysis of the Brylinski-Kostant model for spherical minimal representations for simple real Lie groups of non Hermitian type. We generalize here that analysis and give a unified geometric realization to a family of unitary irreducible representations of such groups.

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In the recent paper [AF12], we introduced an analysis of the Brylinski-Kostant model for spherical minimal representations for simple real Lie groups of non Hermitian type. We generalize here that analysis and give a unified geometric realization to a family of unitary irreducible representations of such groups.

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Available abstract

In the recent paper [AF12], we introduced an analysis of the Brylinski-Kostant model for spherical minimal representations for simple real Lie groups of non Hermitian type. We generalize here that analysis and give a unified geometric realization to a family of unitary irreducible representations of such groups.

Key concepts: Hermitian matrix, Unitary state, Representation theory of SU, Simple (philosophy), Mathematics, Lie group, (g,K)-module, Type (biology)

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