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Lie theory : Lie algebras and representations

Author: Jens Carsten Jantzen; Karl-Hermann Neeb; Jean-Philippe Anker; Bent Orsted
Publisher: Boston ; Basel ; Berlin : Birkhäuser, cop. 2004.
Series: Progress in mathematics (Boston, Mass.), 228.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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Featuring original results and survey work from renowned mathematicians, this title includes treatments of the relevant geometry of orbits in Lie algebras, or their duals, and the correspondence to  Read more...

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Document Type: Book
All Authors / Contributors: Jens Carsten Jantzen; Karl-Hermann Neeb; Jean-Philippe Anker; Bent Orsted
ISBN: 0817633731 9780817633738 3764333731 9783764333737
OCLC Number: 491077123
Description: 1 vol. (IX-328 p.) ; 24 cm.
Contents: 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 Fibres and Steinberg's Triples * Paving Springer's Fibres * 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
Series Title: Progress in mathematics (Boston, Mass.), 228.
Responsibility: Jens Carsten Jantzen, Karl-Hermann Neeb ; Jean-Philippe Anker, Bent Orsted, editors.
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"The references in this volume are extensive (especially for positive characteristic results) and include literature as recent as 2002. Some of Jantzen's techniques seem to be unmotivated at first, Read more...

 
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