Lie Groups and Lie Algebras I: Foundations of Lie Theory Lie Transformation Groups
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1993
|
| Schriftenreihe: | Encyclopaedia of Mathematical Sciences
20 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | From the reviews: "This volume consists of two parts. ... Part I is devoted to a systematic development of the theory of Lie groups. The Lie algebras are studied only in connection with Lie groups, i.e. a systematic study of the Lie algebras is included here. Neither the structural theory of the Lie groups and Lie algebras nor a systematic study of the topology of Lie groups form the subject of this volume. On the other hand, Part I contains a very interesting chapter on generalizations of Lie groups including very recent results. We find here Lie groups over non-archimedian fields, formal groups, infinite dimensional Lie groups and also analytic loops. Part II deals on an advanced level with actions of Lie groups on manifolds and includes subjec ts like Lie groups actions on manifolds, transitive actions, actions of compact Lie groups on low-dimensional manifolds. Though the authors state that the geometry and topology of Lie groups is almost entirely beyond the scope of this survey, one can learn a lot in these directions. Both parts are very nicely written and can be strongly recommended." European Mathematical Society Newsletter, 1993 "... the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source... This is a hand- rather than a textbook. ... On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?" The New Zealand Mathematical Society Newsletter, 1994 |
| Beschreibung: | 1 Online-Ressource (VII, 238 p) |
| ISBN: | 9783642579998 9783540612223 |
| ISSN: | 0938-0396 |
| DOI: | 10.1007/978-3-642-57999-8 |
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| 100 | 1 | |a Onishchik, A. L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lie Groups and Lie Algebras I |b Foundations of Lie Theory Lie Transformation Groups |c edited by A. L. Onishchik |
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1993 | |
| 300 | |a 1 Online-Ressource (VII, 238 p) | ||
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| 500 | |a From the reviews: "This volume consists of two parts. ... Part I is devoted to a systematic development of the theory of Lie groups. The Lie algebras are studied only in connection with Lie groups, i.e. a systematic study of the Lie algebras is included here. Neither the structural theory of the Lie groups and Lie algebras nor a systematic study of the topology of Lie groups form the subject of this volume. On the other hand, Part I contains a very interesting chapter on generalizations of Lie groups including very recent results. We find here Lie groups over non-archimedian fields, formal groups, infinite dimensional Lie groups and also analytic loops. Part II deals on an advanced level with actions of Lie groups on manifolds and includes subjec ts like Lie groups actions on manifolds, transitive actions, actions of compact Lie groups on low-dimensional manifolds. Though the authors state that the geometry and topology of Lie groups is almost entirely beyond the scope of this survey, one can learn a lot in these directions. Both parts are very nicely written and can be strongly recommended." European Mathematical Society Newsletter, 1993 "... the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source... This is a hand- rather than a textbook. ... On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?" The New Zealand Mathematical Society Newsletter, 1994 | ||
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Datensatz im Suchindex
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| author_facet | Onishchik, A. L. |
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| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-57999-8 |
| format | Electronic eBook |
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| id | DE-604.BV042422698 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783642579998 9783540612223 |
| issn | 0938-0396 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858115 |
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| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1993 |
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| publishDateSort | 1993 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Encyclopaedia of Mathematical Sciences |
| spelling | Onishchik, A. L. Verfasser aut Lie Groups and Lie Algebras I Foundations of Lie Theory Lie Transformation Groups edited by A. L. Onishchik Berlin, Heidelberg Springer Berlin Heidelberg 1993 1 Online-Ressource (VII, 238 p) txt rdacontent c rdamedia cr rdacarrier Encyclopaedia of Mathematical Sciences 20 0938-0396 From the reviews: "This volume consists of two parts. ... Part I is devoted to a systematic development of the theory of Lie groups. The Lie algebras are studied only in connection with Lie groups, i.e. a systematic study of the Lie algebras is included here. Neither the structural theory of the Lie groups and Lie algebras nor a systematic study of the topology of Lie groups form the subject of this volume. On the other hand, Part I contains a very interesting chapter on generalizations of Lie groups including very recent results. We find here Lie groups over non-archimedian fields, formal groups, infinite dimensional Lie groups and also analytic loops. Part II deals on an advanced level with actions of Lie groups on manifolds and includes subjec ts like Lie groups actions on manifolds, transitive actions, actions of compact Lie groups on low-dimensional manifolds. Though the authors state that the geometry and topology of Lie groups is almost entirely beyond the scope of this survey, one can learn a lot in these directions. Both parts are very nicely written and can be strongly recommended." European Mathematical Society Newsletter, 1993 "... the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source... This is a hand- rather than a textbook. ... On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?" The New Zealand Mathematical Society Newsletter, 1994 Mathematics Geometry, algebraic Topological Groups Global differential geometry Algebraic topology Cell aggregation / Mathematics Topological Groups, Lie Groups Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Algebraic Topology Algebraic Geometry Mathematik https://doi.org/10.1007/978-3-642-57999-8 Verlag Volltext |
| spellingShingle | Onishchik, A. L. Lie Groups and Lie Algebras I Foundations of Lie Theory Lie Transformation Groups Mathematics Geometry, algebraic Topological Groups Global differential geometry Algebraic topology Cell aggregation / Mathematics Topological Groups, Lie Groups Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Algebraic Topology Algebraic Geometry Mathematik |
| title | Lie Groups and Lie Algebras I Foundations of Lie Theory Lie Transformation Groups |
| title_auth | Lie Groups and Lie Algebras I Foundations of Lie Theory Lie Transformation Groups |
| title_exact_search | Lie Groups and Lie Algebras I Foundations of Lie Theory Lie Transformation Groups |
| title_full | Lie Groups and Lie Algebras I Foundations of Lie Theory Lie Transformation Groups edited by A. L. Onishchik |
| title_fullStr | Lie Groups and Lie Algebras I Foundations of Lie Theory Lie Transformation Groups edited by A. L. Onishchik |
| title_full_unstemmed | Lie Groups and Lie Algebras I Foundations of Lie Theory Lie Transformation Groups edited by A. L. Onishchik |
| title_short | Lie Groups and Lie Algebras I |
| title_sort | lie groups and lie algebras i foundations of lie theory lie transformation groups |
| title_sub | Foundations of Lie Theory Lie Transformation Groups |
| topic | Mathematics Geometry, algebraic Topological Groups Global differential geometry Algebraic topology Cell aggregation / Mathematics Topological Groups, Lie Groups Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Algebraic Topology Algebraic Geometry Mathematik |
| topic_facet | Mathematics Geometry, algebraic Topological Groups Global differential geometry Algebraic topology Cell aggregation / Mathematics Topological Groups, Lie Groups Differential Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Algebraic Topology Algebraic Geometry Mathematik |
| url | https://doi.org/10.1007/978-3-642-57999-8 |
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