Spin and Clifford algebras, an introduction
نویسندگان
چکیده
In this short pedagogical presentation, we introduce the spin groups and the spinors from the point of view of group theory. We also present, independently, the construction of the low dimensional Clifford algebras. And we establish the link between the two approaches. Finally, we give some notions of the generalisations to arbitrary spacetimes, by the introduction of the spin and spinor bundles.
منابع مشابه
Math 210C. Clifford algebras and spin groups Clifford algebras were discovered by Clifford in the late 19th century as part of his search
Clifford algebras were discovered by Clifford in the late 19th century as part of his search for generalizations of quaternions. He considered an algebra generated by V = R subject to the relation v = −||v|| for all v ∈ V . (For n = 2 this gives the quaternions via i = e1, j = e2, and k = e1e2.) They were rediscovered by Dirac. In this handout we explain some general features of Clifford algebr...
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