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What's the difference between geometric, exterior and multilinear algebra?

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#abstract-algebra #multilinear-algebra #exterior-algebra #clifford-algebras #geometric-algebras
586
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Ideal of Clifford algebra

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#ideals #riemannian-geometry #tensors #clifford-algebras #spin-geometry
367
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Multiplication rule for Clifford algebra

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#abstract-algebra #riemannian-geometry #tensors #clifford-algebras
850
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Basis of Clifford algebra

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#riemannian-geometry #lie-algebras #clifford-algebras
80
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Induced homomorphism $d\rho:\mathfrak{spin}(V)\rightarrow \mathfrak{so}(V)$

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#lie-groups #riemannian-geometry #lie-algebras #group-actions #clifford-algebras
107
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How to show $Spin^c(V)$ is isomorphic to $Spin(V)\times_{Z_2} S^1$?

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#lie-groups #lie-algebras #group-actions #clifford-algebras #classical-groups
210
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Fundamental group of $Spin^c(V)$

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#lie-groups #lie-algebras #fundamental-groups #clifford-algebras
191
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Clifford Algebra decomposition

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#abstract-algebra #clifford-algebras
249
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What is the difference between the Lie algebra of the orthogonal group and the spin group?

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#lie-groups #lie-algebras #clifford-algebras
334
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Is there a relationship between the trace and the Clifford/geometric product?

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#linear-algebra #lie-algebras #tensor-products #clifford-algebras #geometric-algebras
2.3k
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Are Clifford and exterior algebras isomorphic as "wedge product algebras"?

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#linear-algebra #multilinear-algebra #exterior-algebra #clifford-algebras #geometric-algebras
86
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How to "see" quaternion structure inside the Clifford algebra in dimensions 2, 3 , 4 mod 8?

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#abstract-algebra #differential-geometry #algebraic-topology #clifford-algebras #spin-geometry
67
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Why these two complex representations of $Cl(V)$ are not isomorphic?

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#linear-algebra #representation-theory #clifford-algebras
415
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What's the argument of a quaternion?

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#clifford-algebras
271
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Classification of real algebra with zero divisors (subquotient of Clifford algebra?)

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#abstract-algebra #clifford-algebras

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