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Results tagged with clifford-algebra
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user 61966
Clifford algebras are associative algebras constructed from quadratic forms on vector spaces. They can be viewed as generalizations of real numbers, complex numbers and quaternions. When constrained to real numbers, the algebra are often referred to as "geometric algebra" and has use in theoretical physics.
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Trying to understand the symmetries of higher dimensional $\gamma$-matrices
I am reading that there exists a unitary matrix $C$ (the charge conjugation) matrix such that each matrix $C\Gamma^{A}$ is either symmetric or anti-symmetric. Now, $\Gamma^{A} = \{ {\bf 1}, \gamma^{\m …
- 2,218
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Higher rank $\gamma$-matrix question
I read that the higher rank $\gamma$ matrices can be written as alternate commutators and anti-commutators. For example, the rank 3 gamma matrix can be written as
$$\gamma^{123} = \frac{1}{2}\{\gamma^ …
- 2,218