Lie algebras
Lie Algebras is based on lectures given by the author at the Institute of Mathematics, Academia Sinica. This book discusses the fundamentals of the Lie algebras theory formulated by S. Lie. The author explains that Lie algebras are algebraic structures employed when one studies Lie groups. The book...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Oxford ; New York
Pergamon Press
[1975]
|
| Ausgabe: | First edition] |
| Schriftenreihe: | International series of monographs in pure and applied mathematics
v. 104 |
| Schlagworte: | |
| Online-Zugang: | FAW01 URL des Erstveröffentlichers |
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| 100 | 1 | |a Wan, Zhexian |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Li dai shu |
| 245 | 1 | 0 | |a Lie algebras |c by Zhe-Xian Wan ; translated by Che-Young Lee |
| 250 | |a First edition] | ||
| 264 | 1 | |a Oxford ; New York |b Pergamon Press |c [1975] | |
| 300 | |a 1 online resource (vii, 230 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a International series of monographs in pure and applied mathematics |v v. 104 | |
| 500 | |a Translation of Li daishu. - Includes index | ||
| 520 | |a Lie Algebras is based on lectures given by the author at the Institute of Mathematics, Academia Sinica. This book discusses the fundamentals of the Lie algebras theory formulated by S. Lie. The author explains that Lie algebras are algebraic structures employed when one studies Lie groups. The book also explains Engel's theorem, nilpotent linear Lie algebras, as well as the existence of Cartan subalgebras and their conjugacy. The text also addresses the Cartan decompositions and root systems of semi-simple Lie algebras and the dependence of structure of semi-simple Lie algebras on root systems. The text explains in details the fundamental systems of roots of semi simple Lie algebras and Weyl groups including the properties of the latter. The book addresses the group of automorphisms and the derivation algebra of a Lie algebra and Schur's lemma. The book then shows the characters of irreducible representations of semi simple Lie algebras. This book can be useful for students in advance algebra or who have a background in linear algebra | ||
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| 650 | 7 | |a Lie algebras |2 fast | |
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| 650 | 7 | |a Lie-Algebra |2 swd | |
| 650 | 4 | |a Lie algebras | |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Wan, Zhexian |
| author_GND | (DE-588)118832840 |
| author_facet | Wan, Zhexian |
| author_role | aut |
| author_sort | Wan, Zhexian |
| author_variant | z w zw |
| building | Verbundindex |
| bvnumber | BV044391444 |
| classification_rvk | SK 260 SK 340 |
| collection | ZDB-33-ESD |
| ctrlnum | (ZDB-33-ESD)ocn893872963 (OCoLC)893872963 (DE-599)BVBBV044391444 |
| 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 |
| edition | First edition] |
| format | Electronic eBook |
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| id | DE-604.BV044391444 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:51:40Z |
| institution | BVB |
| isbn | 9781483187303 1483187306 0080179525 9780080179520 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029793666 |
| oclc_num | 893872963 |
| open_access_boolean | |
| owner | DE-1046 |
| owner_facet | DE-1046 |
| physical | 1 online resource (vii, 230 pages) |
| psigel | ZDB-33-ESD ZDB-33-ESD FAW_PDA_ESD |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Pergamon Press |
| record_format | marc |
| series2 | International series of monographs in pure and applied mathematics |
| spelling | Wan, Zhexian Verfasser aut Li dai shu Lie algebras by Zhe-Xian Wan ; translated by Che-Young Lee First edition] Oxford ; New York Pergamon Press [1975] 1 online resource (vii, 230 pages) txt rdacontent c rdamedia cr rdacarrier International series of monographs in pure and applied mathematics v. 104 Translation of Li daishu. - Includes index Lie Algebras is based on lectures given by the author at the Institute of Mathematics, Academia Sinica. This book discusses the fundamentals of the Lie algebras theory formulated by S. Lie. The author explains that Lie algebras are algebraic structures employed when one studies Lie groups. The book also explains Engel's theorem, nilpotent linear Lie algebras, as well as the existence of Cartan subalgebras and their conjugacy. The text also addresses the Cartan decompositions and root systems of semi-simple Lie algebras and the dependence of structure of semi-simple Lie algebras on root systems. The text explains in details the fundamental systems of roots of semi simple Lie algebras and Weyl groups including the properties of the latter. The book addresses the group of automorphisms and the derivation algebra of a Lie algebra and Schur's lemma. The book then shows the characters of irreducible representations of semi simple Lie algebras. This book can be useful for students in advance algebra or who have a background in linear algebra MATHEMATICS / Algebra / Intermediate bisacsh Lie algebras fast Lie, Groupes de ram Lie-Algebra swd Lie algebras Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 s 1\p DE-604 Lie, Sophus 1842-1899 Sonstige (DE-588)118832840 oth Erscheint auch als Druck-Ausgabe Wan, Zhexian Li dai shu. English Lie algebras First edition] 0080179525 http://www.sciencedirect.com/science/book/9780080179520 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wan, Zhexian Lie algebras MATHEMATICS / Algebra / Intermediate bisacsh Lie algebras fast Lie, Groupes de ram Lie-Algebra swd Lie algebras Lie-Algebra (DE-588)4130355-6 gnd |
| subject_GND | (DE-588)4130355-6 |
| title | Lie algebras |
| title_alt | Li dai shu |
| title_auth | Lie algebras |
| title_exact_search | Lie algebras |
| title_full | Lie algebras by Zhe-Xian Wan ; translated by Che-Young Lee |
| title_fullStr | Lie algebras by Zhe-Xian Wan ; translated by Che-Young Lee |
| title_full_unstemmed | Lie algebras by Zhe-Xian Wan ; translated by Che-Young Lee |
| title_short | Lie algebras |
| title_sort | lie algebras |
| topic | MATHEMATICS / Algebra / Intermediate bisacsh Lie algebras fast Lie, Groupes de ram Lie-Algebra swd Lie algebras Lie-Algebra (DE-588)4130355-6 gnd |
| topic_facet | MATHEMATICS / Algebra / Intermediate Lie algebras Lie, Groupes de Lie-Algebra |
| url | http://www.sciencedirect.com/science/book/9780080179520 |
| work_keys_str_mv | AT wanzhexian lidaishu AT liesophus lidaishu AT wanzhexian liealgebras AT liesophus liealgebras |