Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34 / / Anthony W. Knapp.
This book starts with the elementary theory of Lie groups of matrices and arrives at the definition, elementary properties, and first applications of cohomological induction, which is a recently discovered algebraic construction of group representations. Along the way it develops the computational t...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 |
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| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2022] ©1988 |
| Year of Publication: | 2022 |
| Language: | English |
| Series: | Mathematical Notes ;
34 |
| Online Access: | |
| Physical Description: | 1 online resource (522 p.) |
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Table of Contents:
- Frontmatter
- CONTENTS
- PREFACE
- CHAPTER I. LIE GROUPS AND LIE ALGEBRAS
- CHAPTER II. REPRESENTATIONS AND TENSORS
- CHAPTER III. REPRESENTATIONS OP COMPACT GROUPS
- CHAPTER IV. COHOMOLOGY OF LIE ALGEBRAS
- CHAPTER V. HOMOLOGICAL ALGEBRA
- CHAPTER VI. APPLICATION TO LIE ALGEBRAS
- CHAPTER VII. RELATIVE LIE ALGEBRA COHOMOLOGY
- CHAPTER VIII. REPRESENTATIONS OF NONCOMPACT GROUPS
- NOTES
- REFERENCES
- INDEX OF NOTATION
- INDEX