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15
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Why is it that we can represent vectors using the even part of the Clifford algebra?

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#complex-numbers #vectors #rotations #quaternions #clifford-algebras
56
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A generalization of the Clifford algebra

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#abstract-algebra #representation-theory #noncommutative-algebra #clifford-algebras
102
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Bivectors from a computational angle?

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#linear-algebra #clifford-algebras
76
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How do you show that this wedge derivative is equal to a certain derivative, $\dot\partial \wedge P(\dot{a}(x)) = P(\partial \wedge a)$?

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#differential-geometry #clifford-algebras #geometric-algebras
64
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Adding blades of different grades (computationally)

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#linear-algebra #clifford-algebras #geometric-algebras
211
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Complexification of Clifford Algebra

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#tensor-products #quadratic-forms #clifford-algebras
97
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How to calculate the exponential of a 4D bivector?

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#exponential-function #clifford-algebras
99
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Spin Group is closed subgroup of the multiplicative group of units

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#lie-groups #lie-algebras #clifford-algebras #spin-geometry
603
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What is the relationship between Clifford algebra and differential forms?

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#differential-geometry #differential-forms #clifford-algebras #geometric-algebras
99
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Clifford algebra definition in Lang's algebra

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#abstract-algebra #clifford-algebras
79
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How do you show that the projection operator for a diffeomorphism is $\textsf P^\prime = \textsf {fP}\textsf{f}^{-1}?$

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#differential-geometry #clifford-algebras #geometric-algebras
172
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Clifford Algebra is isomorphic to exterior algebra

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#exterior-algebra #vector-space-isomorphism #clifford-algebras
235
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Is Projective Geometric Algebra a strict subset of Conformal Geometric Algebra?

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#abstract-algebra #geometry #projective-geometry #clifford-algebras #geometric-algebras
331
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Why define Spin$(2)$ as the double cover, not universal cover, of SO$(2)$?

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#algebraic-topology #representation-theory #lie-groups #clifford-algebras #spin-geometry
91
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Definition and properties of Pin group

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#clifford-algebras

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