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Lie theory
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Lie theory

Lie theory

Lie algebras and representations

Jean-Philippe Anker, Bent Orsted - Collection Progress in Mathematics

332 pages, parution le 26/03/2004

Résumé

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory, feature survey work and original results by well-established researchers in key areas of semisimple Lie theory.

A wide spectrum of topics is treated, with emphasis on the interplay between representation theory and the geometry of adjoint orbits for Lie algebras over fields of possibly finite characteristic, as well as for infinite-dimensional Lie algebras. Also covered is unitary representation theory and branching laws for reductive subgroups, an active part of modern representation theory. Finally, there is a thorough discussion of compactifications of symmetric spaces, and harmonic analysis through a far-reaching generalization of Harish-Chandra's Plancherel formula for semisimple Lie groups.

Ideal for graduate students and researchers, Lie Theory provides a broad, clearly focused examination of semisimple Lie groups and their integral importance to research in many branches of mathematics.

Sommaire

  • Nilpotent orbits in representation theory
  • Infinite-dimensional groups and their representations
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  PAPIER
Éditeur(s) Birkhäuser
Auteur(s) Jean-Philippe Anker, Bent Orsted
Collection Progress in Mathematics
Parution 26/03/2004
Nb. de pages 332
Format 16 x 24
Couverture Relié
Poids 638g
Intérieur Noir et Blanc
EAN13 9780817633738
ISBN13 978-0-8176-3373-8

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