Format:
Online Ressource (xii, 243 pages)
Edition:
Online-Ausg.
ISBN:
012215505X
,
9780080873220
,
0080873227
,
9780122155055
Series Statement:
Pure and applied mathematics v. 10, v
Uniform Title:
E@lements d'analyse 〈English〉
Content:
Compact lie groups and semi-simple lie groups
Note:
Includes bibliographical references and index. - Print version record
,
Front Cover; Treatise on Analysis; Copyright Page; Contents; Notation; Chapter XXI. COMPACT LIE GROUPS AND SEMISIMPLE LIE GROUPS; I . 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; 9. Linear representations of SU(2)
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10. Properties of the roots of a compact semisimple group11. 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 algebras23. E. E. Levi's theorem; Appendix; 22. Simple modules; 23. Semisimple modules; 24. Examples; 25. The canonical decomposition of an endomorphism; 26. Finitely generated Z-modules; References; Index
Additional Edition:
ISBN 012215505X
Additional Edition:
Erscheint auch als Druck-Ausgabe Dieudonné, Jean, 1906-1992 Treatise on analysis. Volume V New York : Academic Press, 1977
Language:
English
Keywords:
Electronic books
;
Electronic books
URL:
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