Výsledky vyhledávání - "Duflo, Michel"

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On compositions associated to Frobenius parabolic and seaweed subalgebras of $\mathrm{sl}_{n}(\Bbbk )$

By using a free monoid of operators on the set of compositions (resp. pairs of compositions), we establish in this paper a bijective correspondence between Frobenius standard parabolic (resp. seaweed) subalgebras and certain elements of this monoid.

Externí odkaz: http://arxiv.org/abs/1409.7554

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Kirillov's formula and Guillemin-Sternberg conjecture

Autor: Duflo, Michel, Vergne, Michèle

Let G be a connected reductive real Lie group, and H a compact connected subgroup. Harish-Chandra associates to a regular coadjoint admissible orbit M of G some unitary representations of G. Using the character formula for these representations, we s

Externí odkaz: http://arxiv.org/abs/1110.0987

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Alg\`ebres de Lie quasi-r\'eductives

Autor: Duflo, Michel, Khalgui, Mohamed Salah, Torasso, Pierre

We study the class of algebraic Lie algebras for which the generic stabilizer of the coadjoint action is reductive modulo the center.
Comment: 43 pages, 5 figures

Externí odkaz: http://arxiv.org/abs/1106.1730

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Symmetric pairs and Gorelik elements

Autor: Duflo, Michel, Petracci, Emanuela

The second author gave a formula for the elements of the enveloping algebra of a Lie superalgebra defined by Gorelik under an appropriate unimodularity assumption. We show that this formula is a particular case of a formula for the Jacobian of the ex

Externí odkaz: http://arxiv.org/abs/math/0701267

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