Lie Theory
Lie Algebras and Representations
(Sprache: Englisch)
First of three independent, self-contained volumes under the general title, "Lie Theory," featuring original results and survey work from renowned mathematicians.
Contains J. C. Jantzen's "Nilpotent Orbits in Representation Theory," and K.-H. Neeb's...
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Produktinformationen zu „Lie Theory “
Klappentext zu „Lie Theory “
First of three independent, self-contained volumes under the general title, "Lie Theory," featuring original results and survey work from renowned mathematicians.
Contains J. C. Jantzen's "Nilpotent Orbits in Representation Theory," and K.-H. Neeb's "Infinite Dimensional Groups and their Representations."
Comprehensive treatments of the relevant geometry of orbits in Lie algebras, or their duals, and the correspondence to representations.
Should benefit graduate students and researchers in mathematics and mathematical physics.
Inhaltsverzeichnis zu „Lie Theory “
Preface- J.C. Jantzen: "Nilpotent Orbits in Representation Theory"
- Introduction
- Nilpotent Orbits for Classical Groups
- Some General Results
- Centralisers in the Classical Cases
- Bala-Carter Theory
- Centralisers
- The Nilpotent Cone I
- The Nilpotent Cone II
- Functions on Orbits and Orbit Closures
- Associated Varieties
- Springer's Fibers and Steinberg's Triples
- Paving Springer's Fibers
- l-adic and Perverse Stuff
- Springer's Representations
- References
- K
-H. Neeb: "Infinite Dimensional Groups and Their Representations"
- Introduction
- The Finite-Dimensional Case
- Split Lie Algebras.Unitary Highest Weight Modules
- Banach-Lie Groups
- Holomorphic Representations of Classical Banach-Lie Groups
- Geometry of Coadjoint Orbits of Banach-Lie Groups
- Coadjoint Orbits and Complex Line Bundles for U2(H)
- Appendix: The Topology of Classical Banach-Lie Groups
- References
Bibliographische Angaben
- Autoren: Jens C. Jantzen , Karl-Hermann Neeb
- 2003, 331 Seiten, Masse: 16 x 24,1 cm, Gebunden, Englisch
- Ed. by Jean-Philippe Anker and Bent Orsted
- Herausgegeben: Bent Orsted, Jean-Philippe Anker
- Verlag: Springer
- ISBN-10: 0817633731
- ISBN-13: 9780817633738
- Erscheinungsdatum: 16.12.2003
Sprache:
Englisch
Rezension zu „Lie Theory “
"The references in this volume are extensive (especially for positive characteristic results) and include literature as recent as 2002.
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