Lectures on Lie groups /:
This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance b...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
River Edge, NJ :
World Scientific,
©2000.
|
| Series: | Series on university mathematics ;
vol. 2. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints. |
| Physical Description: | 1 online resource (v, 108 pages :) |
| ISBN: | 9812384782 9789812384782 |
Staff View
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| 520 | |a This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints. | ||
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| author | Hsiang, Wu Yi, 1937- |
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| contents | Lecture 1 Linear Groups and Linear Representations; 1. Basic Concepts and Definitions; 2. A Brief Overview; 3. Compact Groups, Haar Integral and the Averaging Method; 4. Frobenius-Schur Orthogonality and the Character Theory; 5. Classification of Irreducible Complex Representations of S3; 6. L2(G) and Concluding Remarks; Lecture 2 Lie Groups and Lie Algebras; 1. One-parameter Subgroups and Lie Algebras; 2. Lie Subgroups and the Fundamental Theorem of Lie; 3. Lie Homomorphisms and Simply Connected Lie Groups; 4. Adjoint Actions and Adjoint Representations. |
| ctrlnum | (OCoLC)52613261 |
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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
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| id | ZDB-4-EBA-ocm52613261 |
| illustrated | Illustrated |
| indexdate | 2025-03-18T14:13:50Z |
| institution | BVB |
| isbn | 9812384782 9789812384782 |
| language | English |
| oclc_num | 52613261 |
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| physical | 1 online resource (v, 108 pages :) |
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| publishDate | 2000 |
| publishDateSearch | 2000 |
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| publisher | World Scientific, |
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| series | Series on university mathematics ; |
| series2 | Series on university mathematics ; |
| spelling | Hsiang, Wu Yi, 1937- https://id.oclc.org/worldcat/entity/E39PBJwHhQrVXp9FB3JMfQBHG3 http://id.loc.gov/authorities/names/n80137813 Lectures on Lie groups / Wu-Yi Hsiang. River Edge, NJ : World Scientific, ©2000. 1 online resource (v, 108 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier Series on university mathematics ; vol. 2 Print version record. Lecture 1 Linear Groups and Linear Representations; 1. Basic Concepts and Definitions; 2. A Brief Overview; 3. Compact Groups, Haar Integral and the Averaging Method; 4. Frobenius-Schur Orthogonality and the Character Theory; 5. Classification of Irreducible Complex Representations of S3; 6. L2(G) and Concluding Remarks; Lecture 2 Lie Groups and Lie Algebras; 1. One-parameter Subgroups and Lie Algebras; 2. Lie Subgroups and the Fundamental Theorem of Lie; 3. Lie Homomorphisms and Simply Connected Lie Groups; 4. Adjoint Actions and Adjoint Representations. This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints. Lie groups. http://id.loc.gov/authorities/subjects/sh85076786 Groupes de Lie. MATHEMATICS Algebra Linear. bisacsh Lie groups fast Lie, Groupes de. ram has work: Lectures on Lie groups (Text) https://id.oclc.org/worldcat/entity/E39PCGTP7KB4XHRKcTBwp6dTXm https://id.oclc.org/worldcat/ontology/hasWork Print version: Hsiang, Wu Yi, 1937- Lectures on Lie groups. River Edge, NJ : World Scientific, ©2000 9810235224 (DLC) 98022021 (OCoLC)39147816 Series on university mathematics ; vol. 2. http://id.loc.gov/authorities/names/n95056974 |
| spellingShingle | Hsiang, Wu Yi, 1937- Lectures on Lie groups / Series on university mathematics ; Lecture 1 Linear Groups and Linear Representations; 1. Basic Concepts and Definitions; 2. A Brief Overview; 3. Compact Groups, Haar Integral and the Averaging Method; 4. Frobenius-Schur Orthogonality and the Character Theory; 5. Classification of Irreducible Complex Representations of S3; 6. L2(G) and Concluding Remarks; Lecture 2 Lie Groups and Lie Algebras; 1. One-parameter Subgroups and Lie Algebras; 2. Lie Subgroups and the Fundamental Theorem of Lie; 3. Lie Homomorphisms and Simply Connected Lie Groups; 4. Adjoint Actions and Adjoint Representations. Lie groups. http://id.loc.gov/authorities/subjects/sh85076786 Groupes de Lie. MATHEMATICS Algebra Linear. bisacsh Lie groups fast Lie, Groupes de. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85076786 |
| title | Lectures on Lie groups / |
| title_auth | Lectures on Lie groups / |
| title_exact_search | Lectures on Lie groups / |
| title_full | Lectures on Lie groups / Wu-Yi Hsiang. |
| title_fullStr | Lectures on Lie groups / Wu-Yi Hsiang. |
| title_full_unstemmed | Lectures on Lie groups / Wu-Yi Hsiang. |
| title_short | Lectures on Lie groups / |
| title_sort | lectures on lie groups |
| topic | Lie groups. http://id.loc.gov/authorities/subjects/sh85076786 Groupes de Lie. MATHEMATICS Algebra Linear. bisacsh Lie groups fast Lie, Groupes de. ram |
| topic_facet | Lie groups. Groupes de Lie. MATHEMATICS Algebra Linear. Lie groups Lie, Groupes de. |
| work_keys_str_mv | AT hsiangwuyi lecturesonliegroups |