Lie groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer
2004
|
| Schriftenreihe: | Graduate texts in mathematics
225 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | XI, 451 S. graph. Darst. |
| ISBN: | 0387211543 9780387211541 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804132903279394816 |
|---|---|
| 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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| isbn | 0387211543 9780387211541 |
| language | English |
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| physical | XI, 451 S. graph. Darst. |
| publishDate | 2004 |
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| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| 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 |
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