Nilpotent Lie Algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1996
|
| Schriftenreihe: | Mathematics and Its Applications
361 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Nilpotent Ue algebras have played an Important role over the last ye!US : either In the domain at Algebra when one considers Its role In the classlftcation problems of Ue algebras, or In the domain of geometry since one knows the place of nilmanlfolds In the Illustration, the description and representation of specific situations. The first fondamental results In the study of nilpotent Ue algebras are obvlsouly, due to Umlauf. In his thesis (leipZig, 1991), he presented the first non trlvlal classifications. The systematic study of real and complex nilpotent Ue algebras was Independently begun by D1xmler and Morozov. Complete classifications In dimension less than or equal to six were given and the problems regarding superior dimensions brought to light, such as problems related to the existence from seven up, of an infinity of non Isomorphic complex nilpotent Ue algebras. One can also find these losts (for complex and real algebras) In the books about differential geometry by Vranceanu. A more formal approach within the frame of algebraiC geometry was developed by Michele Vergne. The variety of Ue algebraiC laws Is an affine algebraic subset In this view the role variety and the nilpotent laws constitute a Zarlski's closed of Irreduclbl~ components appears naturally as well the determination or estimate of their numbers. Theoritical physiCiSts, Interested In the links between diverse mechanics have developed the Idea of contractions of Ue algebras (Segal, Inonu, Wlgner). That Idea was In fact very convenient In the determination of components |
| Beschreibung: | 1 Online-Ressource (XV, 336 p) |
| ISBN: | 9789401724326 9789048146710 |
| DOI: | 10.1007/978-94-017-2432-6 |
Internformat
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| 245 | 1 | 0 | |a Nilpotent Lie Algebras |c by Michel Goze, Yusupdjan Khakimdjanov |
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| 500 | |a Nilpotent Ue algebras have played an Important role over the last ye!US : either In the domain at Algebra when one considers Its role In the classlftcation problems of Ue algebras, or In the domain of geometry since one knows the place of nilmanlfolds In the Illustration, the description and representation of specific situations. The first fondamental results In the study of nilpotent Ue algebras are obvlsouly, due to Umlauf. In his thesis (leipZig, 1991), he presented the first non trlvlal classifications. The systematic study of real and complex nilpotent Ue algebras was Independently begun by D1xmler and Morozov. Complete classifications In dimension less than or equal to six were given and the problems regarding superior dimensions brought to light, such as problems related to the existence from seven up, of an infinity of non Isomorphic complex nilpotent Ue algebras. One can also find these losts (for complex and real algebras) In the books about differential geometry by Vranceanu. A more formal approach within the frame of algebraiC geometry was developed by Michele Vergne. The variety of Ue algebraiC laws Is an affine algebraic subset In this view the role variety and the nilpotent laws constitute a Zarlski's closed of Irreduclbl~ components appears naturally as well the determination or estimate of their numbers. Theoritical physiCiSts, Interested In the links between diverse mechanics have developed the Idea of contractions of Ue algebras (Segal, Inonu, Wlgner). That Idea was In fact very convenient In the determination of components | ||
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Datensatz im Suchindex
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| author | Goze, Michel |
| author_facet | Goze, Michel |
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| author_sort | Goze, Michel |
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| dewey-full | 512.48 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.48 |
| dewey-search | 512.48 |
| dewey-sort | 3512.48 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-017-2432-6 |
| format | Electronic eBook |
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| id | DE-604.BV042424288 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:15Z |
| institution | BVB |
| isbn | 9789401724326 9789048146710 |
| language | English |
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| spelling | Goze, Michel Verfasser aut Nilpotent Lie Algebras by Michel Goze, Yusupdjan Khakimdjanov Dordrecht Springer Netherlands 1996 1 Online-Ressource (XV, 336 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 361 Nilpotent Ue algebras have played an Important role over the last ye!US : either In the domain at Algebra when one considers Its role In the classlftcation problems of Ue algebras, or In the domain of geometry since one knows the place of nilmanlfolds In the Illustration, the description and representation of specific situations. The first fondamental results In the study of nilpotent Ue algebras are obvlsouly, due to Umlauf. In his thesis (leipZig, 1991), he presented the first non trlvlal classifications. The systematic study of real and complex nilpotent Ue algebras was Independently begun by D1xmler and Morozov. Complete classifications In dimension less than or equal to six were given and the problems regarding superior dimensions brought to light, such as problems related to the existence from seven up, of an infinity of non Isomorphic complex nilpotent Ue algebras. One can also find these losts (for complex and real algebras) In the books about differential geometry by Vranceanu. A more formal approach within the frame of algebraiC geometry was developed by Michele Vergne. The variety of Ue algebraiC laws Is an affine algebraic subset In this view the role variety and the nilpotent laws constitute a Zarlski's closed of Irreduclbl~ components appears naturally as well the determination or estimate of their numbers. Theoritical physiCiSts, Interested In the links between diverse mechanics have developed the Idea of contractions of Ue algebras (Segal, Inonu, Wlgner). That Idea was In fact very convenient In the determination of components Mathematics Geometry, algebraic Algebra Global differential geometry Non-associative Rings and Algebras Differential Geometry Algebraic Geometry Mathematik Nilpotente Lie-Algebra (DE-588)4354815-5 gnd rswk-swf Nilpotente Lie-Algebra (DE-588)4354815-5 s 1\p DE-604 Khakimdjanov, Yusupdjan Sonstige oth https://doi.org/10.1007/978-94-017-2432-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Goze, Michel Nilpotent Lie Algebras Mathematics Geometry, algebraic Algebra Global differential geometry Non-associative Rings and Algebras Differential Geometry Algebraic Geometry Mathematik Nilpotente Lie-Algebra (DE-588)4354815-5 gnd |
| subject_GND | (DE-588)4354815-5 |
| title | Nilpotent Lie Algebras |
| title_auth | Nilpotent Lie Algebras |
| title_exact_search | Nilpotent Lie Algebras |
| title_full | Nilpotent Lie Algebras by Michel Goze, Yusupdjan Khakimdjanov |
| title_fullStr | Nilpotent Lie Algebras by Michel Goze, Yusupdjan Khakimdjanov |
| title_full_unstemmed | Nilpotent Lie Algebras by Michel Goze, Yusupdjan Khakimdjanov |
| title_short | Nilpotent Lie Algebras |
| title_sort | nilpotent lie algebras |
| topic | Mathematics Geometry, algebraic Algebra Global differential geometry Non-associative Rings and Algebras Differential Geometry Algebraic Geometry Mathematik Nilpotente Lie-Algebra (DE-588)4354815-5 gnd |
| topic_facet | Mathematics Geometry, algebraic Algebra Global differential geometry Non-associative Rings and Algebras Differential Geometry Algebraic Geometry Mathematik Nilpotente Lie-Algebra |
| url | https://doi.org/10.1007/978-94-017-2432-6 |
| work_keys_str_mv | AT gozemichel nilpotentliealgebras AT khakimdjanovyusupdjan nilpotentliealgebras |