Cohomology of Infinite-Dimensional Lie Algebras:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Springer US
1986
|
| Series: | Contemporary Soviet Mathematics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | There is no question that the cohomology of infinitedimensional Lie algebras deserves a brief and separate monograph. This subject is not covered by any of the traditional branches of mathematics and is characterized by relatively elementary proofs and varied application. Moreover, the subject matter is widely scattered in various research papers or exists only in verbal form. The theory of infinite-dimensional Lie algebras differs markedly from the theory of finite-dimensional Lie algebras in that the latter possesses powerful classification theorems, which usually allow one to "recognize" any finitedimensional Lie algebra (over the field of complex or real numbers), i.e., find it in some list. There are classification theorems in the theory of infinite-dimensional Lie algebras as well, but they are encumbered by strong restrictions of a technical character. These theorems are useful mainly because they yield a considerable supply of interesting examples. We begin with a list of such examples, and further direct our main efforts to their study |
| Physical Description: | 1 Online-Ressource (352p) |
| ISBN: | 9781468487657 9781468487671 |
| DOI: | 10.1007/978-1-4684-8765-7 |
Staff View
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Record in the Search Index
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| institution | BVB |
| isbn | 9781468487657 9781468487671 |
| language | English |
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| spelling | Fuks, Dmitrij B. 1939- Verfasser (DE-588)110261984 aut Cohomology of Infinite-Dimensional Lie Algebras by D. B. Fuks Boston, MA Springer US 1986 1 Online-Ressource (352p) txt rdacontent c rdamedia cr rdacarrier Contemporary Soviet Mathematics There is no question that the cohomology of infinitedimensional Lie algebras deserves a brief and separate monograph. This subject is not covered by any of the traditional branches of mathematics and is characterized by relatively elementary proofs and varied application. Moreover, the subject matter is widely scattered in various research papers or exists only in verbal form. The theory of infinite-dimensional Lie algebras differs markedly from the theory of finite-dimensional Lie algebras in that the latter possesses powerful classification theorems, which usually allow one to "recognize" any finitedimensional Lie algebra (over the field of complex or real numbers), i.e., find it in some list. There are classification theorems in the theory of infinite-dimensional Lie algebras as well, but they are encumbered by strong restrictions of a technical character. These theorems are useful mainly because they yield a considerable supply of interesting examples. We begin with a list of such examples, and further direct our main efforts to their study Mathematics Mathematics, general Mathematik Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 gnd rswk-swf Kohomologie (DE-588)4031700-6 gnd rswk-swf Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 s Kohomologie (DE-588)4031700-6 s 1\p DE-604 Lie-Algebra (DE-588)4130355-6 s 2\p DE-604 https://doi.org/10.1007/978-1-4684-8765-7 Verlag 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 | Fuks, Dmitrij B. 1939- Cohomology of Infinite-Dimensional Lie Algebras Mathematics Mathematics, general Mathematik Lie-Algebra (DE-588)4130355-6 gnd Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 gnd Kohomologie (DE-588)4031700-6 gnd |
| subject_GND | (DE-588)4130355-6 (DE-588)4434344-9 (DE-588)4031700-6 |
| title | Cohomology of Infinite-Dimensional Lie Algebras |
| title_auth | Cohomology of Infinite-Dimensional Lie Algebras |
| title_exact_search | Cohomology of Infinite-Dimensional Lie Algebras |
| title_full | Cohomology of Infinite-Dimensional Lie Algebras by D. B. Fuks |
| title_fullStr | Cohomology of Infinite-Dimensional Lie Algebras by D. B. Fuks |
| title_full_unstemmed | Cohomology of Infinite-Dimensional Lie Algebras by D. B. Fuks |
| title_short | Cohomology of Infinite-Dimensional Lie Algebras |
| title_sort | cohomology of infinite dimensional lie algebras |
| topic | Mathematics Mathematics, general Mathematik Lie-Algebra (DE-588)4130355-6 gnd Unendlichdimensionale Lie-Algebra (DE-588)4434344-9 gnd Kohomologie (DE-588)4031700-6 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Lie-Algebra Unendlichdimensionale Lie-Algebra Kohomologie |
| url | https://doi.org/10.1007/978-1-4684-8765-7 |
| work_keys_str_mv | AT fuksdmitrijb cohomologyofinfinitedimensionalliealgebras |