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Results tagged with clifford-algebras
Search options questions only
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user 2530
15
votes
4
answers
2k
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Representations of Pin vs. Representations of Clifford
This may be total nonsense. But I need to know the answer quickly and I am too tired to think about it thoroughly. Let $k$ be a positive integer. Roe's "Elliptic Operators" claims that there is a 1-to …
- 33.8k
1
vote
2
answers
241
views
Invariant space of lifted Chevalley automorphisms of the tensor algebra
Question. Let $k$ be a field of characteristic $0$. Let $L$ be a $k$-vector space. Consider the subspace $S$ of $L\otimes L\otimes L\otimes L$ spanned by all tensors of the form
$\left[a,\left\lbrace …
- 33.8k
15
votes
2
answers
2k
views
Clifford PBW theorem for quadratic form
$\DeclareMathOperator\Cl{Cl}$Update Feb 3 '12: now with a question 2 which is much more elementary (and should be well-known!).
Let $k$ be a commutative ring with $1$. Let $L$ be a $k$-module, and $g: …
- 33.8k