The Orbit Method in Geometry and Physics: In Honor of A.A. Kirillov: 213 - Rilegato

Duval, Christian; Guieu, Laurent; Ovsienko, Valentin

Rilegato

ISBN 10: 0817642323 ISBN 13: 9780817642327

Casa editrice: Springer Basel AG, 2003

Riassunto

It was successfully applied by Kirillov to obtain the unitary rep­ resentation theory of nilpotent Lie groups, and at the end of this famous 1962 paper, it was suggested that the method may be applicable to other Lie groups as well.

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Recensione

"...the volume might be useful to a large number of potential readers interested in various fields, like representation theory of Lie groups, symplectic geometry, differential equations, combinatorics, etc. It is noteworthy that the history of mathematics can also be added to this list of topics, due to the nice article authored by J. Dixmier."

―Romanian Journal of Pure and Appl. Math.

Contenuti

A Principle of Variations in Representation Theory * Finite Group Actions on Poisson Algebras * Representations of Quantum Tori and G-bundles on Elliptic Curves * Dixmier Algebras for Classical Complex Nilpotent Orbits via Kraft-Procesi Models I * Gerbes of Chiral Differential Operators. III * Defining Relations for the Exceptional Superalgebras of Vector Fields * Schur-Weyl Duality and Representations of Permutation Groups * Quantiziation of Hypersurface Orbitla Varieties in sln * Generalization of a Theorem of Waldspurger to Nice Representations * Two More Variations on the Triangular Theme * The Generalized Cayley Map from an Algebraic Group to its Lie Algebra * Geometry of GLn(C) at Infinity: Hinges, Complete Collineations, Projective Compactifications, and Universal Boundary * Point Processes Related to the Infinite Symmetric Group * Some Toric Manifolds and a Path Integral * Projective Schur Functions as Bispherical Functions on Certain Homogeneous Superspaces * Maximal Subalgebras of the Classical Linear Lie Superalgebras

Dettagli dell'edizione

• Editore: Springer Basel AG
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 0817642323
• ISBN 13: 9780817642327
• Rilegatura: Copertina rigida
• Numero di pagine: 492
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania