Local geometry of orbits for an ordinary classical lie supergroup

• Autorzy: Tomasz Przebinda
• Języki publikacji: EN

Abstrakty

EN

In this paper we identify a real reductive dual pair of Roger Howe with an Ordinary Classical Lie supergroup. In these terms we describe the semisimple orbits of the dual pair in the symplectic space, a slice through a semisimple element of the symplectic space, an analog of a Cartan subalgebra, the corresponding Weyl group and the corresponding Weyl integration formula.

Słowa kluczowe

EN

Dual pairs; Lie supergroups; orbits; integration formulas; 17B05; 17B75; 22E15

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2006
• Tom: 4
• Numer: 3
• Strony: 449-506

Daty

wydano

2006-09-01

online

2006-09-01

Twórcy

autor

Tomasz Przebinda

• University of Oklahoma

Bibliografia

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• [9] B. Kostant: Graded manifolds, graded Lie theory, and prequantization, Lecture Notes in Math., Vol. 570, Springer-Verlag, Berlin-New York, 1977, pp. 177–306.
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Identyfikatory

DOI

10.2478/s11533-006-0019-4