Finite-Dimensional Division Algebras over Fields:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1996
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Finite-dimensional division algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensio= nal algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brau= er-Severi varieties. The book concentrates on those algebras that have an involution. Algebras with involution appear in many contexts;they arose first in the study of the so-called "multiplication algebras of Riemann matrices". The largest part of the book is the fifth chapter, dealing with involu= torial simple algebras of finite dimension over a field. Of particular interest are the Jordan algebras determined by these algebras with involution;their structure is discussed. Two important concepts of these algebras with involution are the universal enveloping algebras and the reduced norm. Corrections of the 1st edition (1996) carried out on behalf of N. Jacobson (deceased) by Prof. P.M. Cohn (UC London, UK) |
| Physical Description: | 1 Online-Ressource (VIII, 284 p) |
| ISBN: | 9783642024290 9783540570295 |
| DOI: | 10.1007/978-3-642-02429-0 |
Staff View
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| 500 | |a Finite-dimensional division algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensio= nal algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brau= er-Severi varieties. The book concentrates on those algebras that have an involution. Algebras with involution appear in many contexts;they arose first in the study of the so-called "multiplication algebras of Riemann matrices". The largest part of the book is the fifth chapter, dealing with involu= torial simple algebras of finite dimension over a field. Of particular interest are the Jordan algebras determined by these algebras with involution;their structure is discussed. Two important concepts of these algebras with involution are the universal enveloping algebras and the reduced norm. Corrections of the 1st edition (1996) carried out on behalf of N. Jacobson (deceased) by Prof. P.M. Cohn (UC London, UK) | ||
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| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-02429-0 |
| format | Electronic eBook |
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| id | DE-604.BV042422448 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783642024290 9783540570295 |
| language | English |
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| publishDate | 1996 |
| publishDateSearch | 1996 |
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| publisher | Springer Berlin Heidelberg |
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| spelling | Jacobson, Nathan Verfasser aut Finite-Dimensional Division Algebras over Fields by Nathan Jacobson Berlin, Heidelberg Springer Berlin Heidelberg 1996 1 Online-Ressource (VIII, 284 p) txt rdacontent c rdamedia cr rdacarrier Finite-dimensional division algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensio= nal algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brau= er-Severi varieties. The book concentrates on those algebras that have an involution. Algebras with involution appear in many contexts;they arose first in the study of the so-called "multiplication algebras of Riemann matrices". The largest part of the book is the fifth chapter, dealing with involu= torial simple algebras of finite dimension over a field. Of particular interest are the Jordan algebras determined by these algebras with involution;their structure is discussed. Two important concepts of these algebras with involution are the universal enveloping algebras and the reduced norm. Corrections of the 1st edition (1996) carried out on behalf of N. Jacobson (deceased) by Prof. P.M. Cohn (UC London, UK) Mathematics Algebra Mathematik Divisionsalgebra (DE-588)4138776-4 gnd rswk-swf Körper Algebra (DE-588)4308063-7 gnd rswk-swf Körper Algebra (DE-588)4308063-7 s Divisionsalgebra (DE-588)4138776-4 s 1\p DE-604 https://doi.org/10.1007/978-3-642-02429-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jacobson, Nathan Finite-Dimensional Division Algebras over Fields Mathematics Algebra Mathematik Divisionsalgebra (DE-588)4138776-4 gnd Körper Algebra (DE-588)4308063-7 gnd |
| subject_GND | (DE-588)4138776-4 (DE-588)4308063-7 |
| title | Finite-Dimensional Division Algebras over Fields |
| title_auth | Finite-Dimensional Division Algebras over Fields |
| title_exact_search | Finite-Dimensional Division Algebras over Fields |
| title_full | Finite-Dimensional Division Algebras over Fields by Nathan Jacobson |
| title_fullStr | Finite-Dimensional Division Algebras over Fields by Nathan Jacobson |
| title_full_unstemmed | Finite-Dimensional Division Algebras over Fields by Nathan Jacobson |
| title_short | Finite-Dimensional Division Algebras over Fields |
| title_sort | finite dimensional division algebras over fields |
| topic | Mathematics Algebra Mathematik Divisionsalgebra (DE-588)4138776-4 gnd Körper Algebra (DE-588)4308063-7 gnd |
| topic_facet | Mathematics Algebra Mathematik Divisionsalgebra Körper Algebra |
| url | https://doi.org/10.1007/978-3-642-02429-0 |
| work_keys_str_mv | AT jacobsonnathan finitedimensionaldivisionalgebrasoverfields |