Verfügbarkeit: Lie groups :: THWS Bibkatalog

Lie groups:

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Bibliographische Detailangaben
1. Verfasser:	Bump, Daniel 1952- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	New York, NY Springer 2004
Schriftenreihe:	Graduate texts in mathematics 225
Schlagworte:	Lie-Gruppe - Lehrbuch Lie groups Lie-Algebra Lie-Gruppe
Online-Zugang:	Inhaltsverzeichnis Klappentext
Beschreibung:	XI, 451 S. graph. Darst.
ISBN:	0387211543 9780387211541

Internformat

MARC


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Datensatz im Suchindex

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adam_text	Contents Preface Part I: Compact Groups 1 Haar 2 Schur 3 4 Part II: Lie Group Fundamentals 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Semisimple 24 25 26 27 28 29 30 31 32 33 Part III: Topics 34 35 36 37 38 Schur 39 Schur 40 41 42 43 44 45 46 47 48 Hecke 49 50 References Index Daniel Bump Lie Groups This book is intended for a one-year graduate course on Lie groups and Lie algebras.The author proceeds beyond the representation theory of compact Lie groups (which is the basis of many texts) and provides a carefully chosen range of material to give the student the bigger picture. For compact Lie groups, the Peter-Weyl theorem, conjugacy of maximal tori (two proofs), Weyl character formula and more are covered.The book continues with the study of complex analytic groups, then general noncompact Lie groups, including the Coxeter presentation of the Weyl group, the Iwasawa and Bruhat decomposi¬ tions, Cartan decomposition, symmetric spaces, Cayley transforms, relative root systems, Satake diagrams, extended Dynkin diagrams and a survey of the ways Lie groups may be embedded in one another.The book culminates in a topics section giving depth to the student s understanding of representation theory, taking the Frobenius-Schur duality between the representation theory of the symmetric group and the unitary groups as a unifying theme, with many applications in diverse areas such as random matrix theory, minors of Toeplitz matrices, symmetric algebra decompositions, Gelfand pairs, Hecke algebras, representations of finite general linear groups and the cohomology of Grassmannians and flag varieties. Daniel Bump is Professor of Mathematics at Stanford University. His research is in automorphic forms, representation theory and number theory. He is a co¬ author of GNU Go, a computer program that plays the game of Go. His previ¬ ous books include Automorphic Forms and Representations (Cambridge University Press, 1997) and Algebraic Geometry (World Scientific, 1998).
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spelling	Bump, Daniel 1952- Verfasser (DE-588)110339959 aut Lie groups Daniel Bump New York, NY Springer 2004 XI, 451 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 225 Lie-Gruppe - Lehrbuch Lie groups Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 s DE-604 Lie-Algebra (DE-588)4130355-6 s 1\p DE-604 Graduate texts in mathematics 225 (DE-604)BV000000067 225 Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012893841&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012893841&sequence=000005&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Bump, Daniel 1952- Lie groups Graduate texts in mathematics Lie-Gruppe - Lehrbuch Lie groups Lie-Algebra (DE-588)4130355-6 gnd Lie-Gruppe (DE-588)4035695-4 gnd
subject_GND	(DE-588)4130355-6 (DE-588)4035695-4
title	Lie groups
title_auth	Lie groups
title_exact_search	Lie groups
title_full	Lie groups Daniel Bump
title_fullStr	Lie groups Daniel Bump
title_full_unstemmed	Lie groups Daniel Bump
title_short	Lie groups
title_sort	lie groups
topic	Lie-Gruppe - Lehrbuch Lie groups Lie-Algebra (DE-588)4130355-6 gnd Lie-Gruppe (DE-588)4035695-4 gnd
topic_facet	Lie-Gruppe - Lehrbuch Lie groups Lie-Algebra Lie-Gruppe
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012893841&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012893841&sequence=000005&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
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