Clifford algebras and the classical groups:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2009
|
| Ausgabe: | Digitally print. ed. |
| Schriftenreihe: | Cambridge studies in advanced mathematics
50 |
| Schlagwörter: | |
| Abstract: | "The Clifford algebras of real quadratic forms and their complexifications are studied here in detail, and those parts which are immediately relevant to theoretical physics are seen in the proper broad context. Central to the work is the classification of the conjugation and reversion anti-involutions that arise naturally in the theory. It is of interest that all the classical groups play essential roles in this classification. Other features include detailed sections on conformal groups, the eight-dimensional non-associative Cayley algebra, its automorphism group, the exceptional Lie group G[subscript 2], and the triality automorphism of Spin 8. The book is designed to be suitable for the last year of an undergraduate course or the first year of a postgraduate course."--Cover. |
| Umfang: | X, 295 S. Ill. |
| ISBN: | 9780521118026 9780521551779 |
Internformat
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| 100 | 1 | |a Porteous, Ian R. |d 1930-2011 |e Verfasser |0 (DE-588)139752633 |4 aut | |
| 245 | 1 | 0 | |a Clifford algebras and the classical groups |c Ian R. Porteous |
| 250 | |a Digitally print. ed. | ||
| 264 | 1 | |a Cambridge |b Cambridge Univ. Press |c 2009 | |
| 300 | |a X, 295 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics |v 50 | |
| 520 | 3 | |a "The Clifford algebras of real quadratic forms and their complexifications are studied here in detail, and those parts which are immediately relevant to theoretical physics are seen in the proper broad context. Central to the work is the classification of the conjugation and reversion anti-involutions that arise naturally in the theory. It is of interest that all the classical groups play essential roles in this classification. Other features include detailed sections on conformal groups, the eight-dimensional non-associative Cayley algebra, its automorphism group, the exceptional Lie group G[subscript 2], and the triality automorphism of Spin 8. The book is designed to be suitable for the last year of an undergraduate course or the first year of a postgraduate course."--Cover. | |
| 650 | 4 | |a Clifford algebras | |
| 650 | 4 | |a Group theory | |
| 650 | 0 | 7 | |a Clifford-Algebra |0 (DE-588)4199958-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Topologische Geometrie |0 (DE-588)4330788-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lie-Gruppe |0 (DE-588)4035695-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gruppentheorie |0 (DE-588)4072157-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lie-Gruppe |0 (DE-588)4035695-4 |D s |
| 689 | 0 | 1 | |a Topologische Geometrie |0 (DE-588)4330788-7 |D s |
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| 689 | 1 | 1 | |a Gruppentheorie |0 (DE-588)4072157-7 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 830 | 0 | |a Cambridge studies in advanced mathematics |v 50 |w (DE-604)BV000003678 |9 50 | |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-018604981 | |
Datensatz im Suchindex
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| any_adam_object | |
| author | Porteous, Ian R. 1930-2011 |
| author_GND | (DE-588)139752633 |
| author_facet | Porteous, Ian R. 1930-2011 |
| author_role | aut |
| author_sort | Porteous, Ian R. 1930-2011 |
| author_variant | i r p ir irp |
| building | Verbundindex |
| bvnumber | BV035744809 |
| callnumber-first | Q - Science |
| callnumber-label | QA199 |
| callnumber-raw | QA199 |
| callnumber-search | QA199 |
| callnumber-sort | QA 3199 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 230 SK 340 |
| ctrlnum | (OCoLC)319495558 (DE-599)BVBBV035744809 |
| dewey-full | 512.57 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.57 |
| dewey-search | 512.57 |
| dewey-sort | 3512.57 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Digitally print. ed. |
| format | Book |
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| id | DE-604.BV035744809 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T13:59:12Z |
| institution | BVB |
| isbn | 9780521118026 9780521551779 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018604981 |
| oclc_num | 319495558 |
| open_access_boolean | |
| owner | DE-384 DE-19 DE-BY-UBM DE-83 DE-634 |
| owner_facet | DE-384 DE-19 DE-BY-UBM DE-83 DE-634 |
| physical | X, 295 S. Ill. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Porteous, Ian R. 1930-2011 Verfasser (DE-588)139752633 aut Clifford algebras and the classical groups Ian R. Porteous Digitally print. ed. Cambridge Cambridge Univ. Press 2009 X, 295 S. Ill. txt rdacontent n rdamedia nc rdacarrier Cambridge studies in advanced mathematics 50 "The Clifford algebras of real quadratic forms and their complexifications are studied here in detail, and those parts which are immediately relevant to theoretical physics are seen in the proper broad context. Central to the work is the classification of the conjugation and reversion anti-involutions that arise naturally in the theory. It is of interest that all the classical groups play essential roles in this classification. Other features include detailed sections on conformal groups, the eight-dimensional non-associative Cayley algebra, its automorphism group, the exceptional Lie group G[subscript 2], and the triality automorphism of Spin 8. The book is designed to be suitable for the last year of an undergraduate course or the first year of a postgraduate course."--Cover. Clifford algebras Group theory Clifford-Algebra (DE-588)4199958-7 gnd rswk-swf Topologische Geometrie (DE-588)4330788-7 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 s Topologische Geometrie (DE-588)4330788-7 s DE-604 Clifford-Algebra (DE-588)4199958-7 s Gruppentheorie (DE-588)4072157-7 s 1\p DE-604 Cambridge studies in advanced mathematics 50 (DE-604)BV000003678 50 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Porteous, Ian R. 1930-2011 Clifford algebras and the classical groups Cambridge studies in advanced mathematics Clifford algebras Group theory Clifford-Algebra (DE-588)4199958-7 gnd Topologische Geometrie (DE-588)4330788-7 gnd Lie-Gruppe (DE-588)4035695-4 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4199958-7 (DE-588)4330788-7 (DE-588)4035695-4 (DE-588)4072157-7 |
| title | Clifford algebras and the classical groups |
| title_auth | Clifford algebras and the classical groups |
| title_exact_search | Clifford algebras and the classical groups |
| title_full | Clifford algebras and the classical groups Ian R. Porteous |
| title_fullStr | Clifford algebras and the classical groups Ian R. Porteous |
| title_full_unstemmed | Clifford algebras and the classical groups Ian R. Porteous |
| title_short | Clifford algebras and the classical groups |
| title_sort | clifford algebras and the classical groups |
| topic | Clifford algebras Group theory Clifford-Algebra (DE-588)4199958-7 gnd Topologische Geometrie (DE-588)4330788-7 gnd Lie-Gruppe (DE-588)4035695-4 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Clifford algebras Group theory Clifford-Algebra Topologische Geometrie Lie-Gruppe Gruppentheorie |
| volume_link | (DE-604)BV000003678 |
| work_keys_str_mv | AT porteousianr cliffordalgebrasandtheclassicalgroups |