Algebra: 9 Finite groups of Lie Type
Gespeichert in:
| Weitere beteiligte Personen: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin
Springer-Verlag Berlin Heidelberg GmbH
[1996]
|
| Schriftenreihe: | Encyclopaedia of mathematical sciences
volume 77 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-3-662-03235-0 https://doi.org/10.1007/978-3-662-03235-0 https://doi.org/10.1007/978-3-662-03235-0 https://doi.org/10.1007/978-3-662-03235-0 https://doi.org/10.1007/978-3-662-03235-0 |
| Abstract: | The finite groups of Lie type are of central mathematical importance and the problem of understanding their irreducible representations is of great interest. The representation theory of these groups over an algebraically closed field of characteristic zero was developed by P.Deligne and G.Lusztig in 1976 and subsequently in a series of papers by Lusztig culminating in his book in 1984. The purpose of the first part of this book is to give an overview of the subject, without including detailed proofs. The second part is a survey of the structure of finite-dimensional division algebras with many outline proofs, giving the basic theory and methods of construction and then goes on to a deeper analysis of division algebras over valuated fields. An account of the multiplicative structure and reduced K-theory presents recent work on the subject, including that of the authors. Thus it forms a convenient and very readable introduction to a field which in the last two decades has seen much progress. |
| Umfang: | 1 Online-Ressource (viii, 240 Seiten) |
| ISBN: | 9783662032350 |
| DOI: | 10.1007/978-3-662-03235-0 |
Internformat
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| 520 | 3 | |a The finite groups of Lie type are of central mathematical importance and the problem of understanding their irreducible representations is of great interest. The representation theory of these groups over an algebraically closed field of characteristic zero was developed by P.Deligne and G.Lusztig in 1976 and subsequently in a series of papers by Lusztig culminating in his book in 1984. The purpose of the first part of this book is to give an overview of the subject, without including detailed proofs. The second part is a survey of the structure of finite-dimensional division algebras with many outline proofs, giving the basic theory and methods of construction and then goes on to a deeper analysis of division algebras over valuated fields. An account of the multiplicative structure and reduced K-theory presents recent work on the subject, including that of the authors. Thus it forms a convenient and very readable introduction to a field which in the last two decades has seen much progress. | |
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| id | DE-604.BV047178544 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T19:11:58Z |
| institution | BVB |
| isbn | 9783662032350 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032583877 |
| oclc_num | 1241676196 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (viii, 240 Seiten) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer-Verlag Berlin Heidelberg GmbH |
| record_format | marc |
| series | Encyclopaedia of mathematical sciences |
| series2 | Encyclopaedia of mathematical sciences |
| spellingShingle | Algebra Encyclopaedia of mathematical sciences Mathematics Geometry, algebraic Group theory K-theory Group Theory and Generalizations K-Theory Number theory Algebraic Geometry Mathematik |
| title | Algebra |
| title_alt | Algebra |
| title_auth | Algebra |
| title_exact_search | Algebra |
| title_full | Algebra 9 Finite groups of Lie Type A.I. Kostrikin, l.R. Shafarevich (eds.) |
| title_fullStr | Algebra 9 Finite groups of Lie Type A.I. Kostrikin, l.R. Shafarevich (eds.) |
| title_full_unstemmed | Algebra 9 Finite groups of Lie Type A.I. Kostrikin, l.R. Shafarevich (eds.) |
| title_short | Algebra |
| title_sort | algebra finite groups of lie type |
| topic | Mathematics Geometry, algebraic Group theory K-theory Group Theory and Generalizations K-Theory Number theory Algebraic Geometry Mathematik |
| topic_facet | Mathematics Geometry, algebraic Group theory K-theory Group Theory and Generalizations K-Theory Number theory Algebraic Geometry Mathematik |
| url | https://doi.org/10.1007/978-3-662-03235-0 |
| volume_link | (DE-604)BV047175815 (DE-604)BV035421342 |
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