Lectures on Lie groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
River Edge, NJ
World Scientific
©2000
|
| Schriftenreihe: | Series on university mathematics
vol. 2 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (v, 108 pages) |
| ISBN: | 9789812384782 9812384782 |
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| 500 | |a 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 | ||
| 500 | |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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Datensatz im Suchindex
| _version_ | 1804175511259185152 |
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| any_adam_object | |
| author | Hsiang, Wu Yi |
| author_facet | Hsiang, Wu Yi |
| author_role | aut |
| author_sort | Hsiang, Wu Yi |
| author_variant | w y h wy wyh |
| building | Verbundindex |
| bvnumber | BV043101139 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)52613261 (DE-599)BVBBV043101139 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043101139 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:27Z |
| institution | BVB |
| isbn | 9789812384782 9812384782 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028525331 |
| oclc_num | 52613261 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (v, 108 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | World Scientific |
| record_format | marc |
| series2 | Series on university mathematics |
| spelling | Hsiang, Wu Yi Verfasser aut Lectures on Lie groups Wu-Yi Hsiang River Edge, NJ World Scientific ©2000 1 Online-Ressource (v, 108 pages) txt rdacontent c rdamedia cr rdacarrier Series on university mathematics vol. 2 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, Groupes de MATHEMATICS / Algebra / Linear bisacsh Lie groups fast Lie, Groupes de ram Lie groups Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Lie-Typ-Gruppe (DE-588)4167650-6 gnd rswk-swf Lie-Typ-Gruppe (DE-588)4167650-6 s Lie-Algebra (DE-588)4130355-6 s 1\p DE-604 Lie-Gruppe (DE-588)4035695-4 s 2\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=83659 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hsiang, Wu Yi Lectures on Lie groups Lie, Groupes de MATHEMATICS / Algebra / Linear bisacsh Lie groups fast Lie, Groupes de ram Lie groups Lie-Gruppe (DE-588)4035695-4 gnd Lie-Algebra (DE-588)4130355-6 gnd Lie-Typ-Gruppe (DE-588)4167650-6 gnd |
| subject_GND | (DE-588)4035695-4 (DE-588)4130355-6 (DE-588)4167650-6 |
| 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, Groupes de MATHEMATICS / Algebra / Linear bisacsh Lie groups fast Lie, Groupes de ram Lie groups Lie-Gruppe (DE-588)4035695-4 gnd Lie-Algebra (DE-588)4130355-6 gnd Lie-Typ-Gruppe (DE-588)4167650-6 gnd |
| topic_facet | Lie, Groupes de MATHEMATICS / Algebra / Linear Lie groups Lie-Gruppe Lie-Algebra Lie-Typ-Gruppe |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=83659 |
| work_keys_str_mv | AT hsiangwuyi lecturesonliegroups |