Gallier+Quaintance: Notes on Differential Geometry and Lie Groups with Chapter on Clifford Algebras, Clifford Groups, Pin and Spin


Notes on Differential Geometry and Lie Groups
by Jean Gallier and Jocelyn Quaintance, Department of Computer and Information Science, University of Pennsylvania, Philadelphia, PA 19104, USA
e-mail: jean_AT_cis.upenn.edu
Date on PDF: 23 Feb. 2017. Accessed: 17 Oct. 2017.
Contents of Chapter 30:

30 Clifford Algebras, Clifford Groups, Pin and Spin  … 1027
30.1 Introduction: Rotations As Group Actions . . . . . . . . . . . . . . . . . . . 1027
30.2 Clifford Algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1029
30.3 Clifford Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1040
30.4 The Groups Pin(n) and Spin(n) . . . . . . . . . . . . . . . . . . . . . . . . 1047
30.5 The Groups Pin(p,q) and Spin(p,q) . . . . . . . . . . . . . . . . . . . . . . 1054
30.6 The Groups Pin(p,q) and Spin(p,q) as double covers . . . . . . . . . . . . 1059
30.7 Periodicity of the Clifford Algebras Cl_p,q . . . . . . . . . . . . . . . . . . . . 1066
30.8 The Complex Clifford Algebras Cl(n,C) . . . . . . . . . . . . . . . . . . . . 1070
30.9 Clifford Groups Over a Field K . . . . . . . . . . . . . . . . . . . . . . . . . 1071
Source: Email from V. Skala, skala_AT_kiv.zcu.cz, 17 Oct. 2017, http://www.seas.upenn.edu/~jean/diffgeom.pdf
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