Treatise on analysis: 5 Chapter 21
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Main Author: | |
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Format: | Book |
Language: | English |
Published: |
New York [u.a.]
Acad. Press
1977
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Series: | Pure and applied mathematics
10,5 |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005589899&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Physical Description: | XII, 243 S. |
ISBN: | 012215505X |
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Record in the Search Index
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adam_text | CONTENTS
Notation vil
Chapter XXI
COMPACT LIE GROUPS AND SEMISIMPLE LIE GROUPS 1
1. Continuous unitary representations of locally compact groups 2. The Hilbert
algebra of a compact group 3. Characters of a compact group 4. Continuous
unitary representations of compact groups 5. Invariant bilinear forms; the Killing
form 6. Semisimple Lie groups. Criterion of semisimplicity for a compact Lie group
7. Maximal tori in compact connected Lie groups 8. Roots and almost simple
subgroups of rank 1 9. Linear representations of SU(2) 10. Properties of the roots
of a compact semisimple group 11. Bases of a root system 12. Examples: the
classical compact groups 13. Linear representations of compact connected Lie
groups 14. Anti invariant elements 15. Weyl s formulas 16. Center, fundamental
group and irreducible representations of semisimple compact connected groups
17. Complexifications of compact connected semisimple groups 18. Real forms of
the complexifications of compact connected semisimple groups and symmetric spaces
19. Roots of a complex semisimple Lie algebra 20. Weyl bases 21. The Iwasawa
decomposition 22. Cartan s criterion for solvable Lie algebras 23. E. E. Levi s
theorem
Appendix
MODULES 227
22. Simple modules 23. Semisimple modules 24. Examples 25. The canonical
decomposition of an endomorphism 26. Finitely generated Z modules
References 237
Index 241
v
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author | Dieudonné, Jean Alexandre 1906-1992 |
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physical | XII, 243 S. |
publishDate | 1977 |
publishDateSearch | 1977 |
publishDateSort | 1977 |
publisher | Acad. Press |
record_format | marc |
series | Pure and applied mathematics |
series2 | Pure and applied mathematics |
spellingShingle | Dieudonné, Jean Alexandre 1906-1992 Treatise on analysis Pure and applied mathematics |
title | Treatise on analysis |
title_alt | Éléments d'analyse |
title_auth | Treatise on analysis |
title_exact_search | Treatise on analysis |
title_full | Treatise on analysis 5 Chapter 21 J. Dieudonné |
title_fullStr | Treatise on analysis 5 Chapter 21 J. Dieudonné |
title_full_unstemmed | Treatise on analysis 5 Chapter 21 J. Dieudonné |
title_short | Treatise on analysis |
title_sort | treatise on analysis chapter 21 |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005589899&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000935410 (DE-604)BV010177228 |
work_keys_str_mv | AT dieudonnejeanalexandre elementsdanalyse AT dieudonnejeanalexandre treatiseonanalysis5 |
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