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Abstract:
Clifford algebras are a generalization of the complex numbers that can
be defined for any vector space with an inner product. They have rich
mathematical structures with applications in both physics and
mathematics. In this talk I will define Clifford algebras, explore
some of their properties, and provide a few concrete examples. Along
the way I will provide some historical context and explain some of the
reasons I find these algebras to be both natural and interesting.
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