Semisimple Lie Theory SeminarExport this event to calendar

Thursday, July 31, 2014 — 4:00 PM EDT

Michael Baker, Department of Pure Mathematics, University of Waterloo

“Clifford algebras and spin representations”

The Clifford algebra Cl(V,q) associated to a quadratic vector space (V,q) is a quantization of its exterior algebra whose multiplication carries very rich geometric information. Now an indispensable tool in geometry and mathematical physics, these algebras are also intimately related to projective representations of the orthogonal Lie groups. Continuing from last time, I will develop their basic theory: the universal property, the natural filtration, the groups Pin and Spin, the twisted adjoint representation, and so on. We will see a few examples in simple cases.

Location 
MC - Mathematics & Computer Building
4062
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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