000			02745nam a22003858i 4500
001			CR9780511470912
003			UkCbUP
005			20200124160238.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090122s1995||||enk o ||1 0|eng|d
020			_a9780511470912 (ebook)
020			_z9780521551779 (hardback)
020			_z9780521118026 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA199 _b.P67 1995
082	0	0	_a512/.57 _220
100	1		_aPorteous, Ian R., _eauthor.
245	1	0	_aClifford algebras and the classical groups / _cIan R. Porteous.
246	3		_aClifford Algebras & the Classical Groups
264		1	_aCambridge : _bCambridge University Press, _c1995.
300			_a1 online resource (x, 295 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge studies in advanced mathematics ; _v50
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. Linear spaces -- 2. Real and complex algebras -- 3. Exact sequences -- 4. Real quadratic spaces -- 5. The classification of real quadratic spaces -- 6. Anti-involutions of R(n) -- 7. Anti-involutions of C(n) -- 8. Quaternions -- 9. Quaternionic linear spaces -- 10. Anti-involutions of H(n) -- 11. Tensor products of algebras -- 12. Anti-involutions of [superscript 2]K(n) -- 13. The classical groups -- 14. Quadric Grassmannians -- 15. Clifford algebras -- 16. Spin groups -- 17. Conjugation -- 18. 2 x 2 Clifford matrices -- 19. The Cayley algebra -- 20. Topological spaces -- 21. Manifolds -- 22. Lie groups -- 23. Conformal groups -- 24. Triality.
520			_aThe 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 G2, 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.
650		0	_aClifford algebras.
650		0	_aGroup theory.
776	0	8	_iPrint version: _z9780521551779
830		0	_aCambridge studies in advanced mathematics ; _v50.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511470912
999			_c518294 _d518292