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Results tagged with clifford-algebras
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user 297
10
votes
Principled construction of the quaternions
$\def\RR{\mathbb{R}}$This is an answer to flesh out what I wrote in comments. Let $V$ be a real vector space with positive definite inner product. For a unit vector $\vec{u} \in V$, let $s_{\vec{u}}$ …
- 156k
14
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Accepted
Representations of Pin vs. Representations of Clifford
I'm not sure whether a representation of an algebra $A$ means a representation of the unit group of $A$, or an $A$-module. With the second interpretation, the statement is false.
Let's take $k=2$ and …
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