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An embedding of $U(n)\to \text{Spin}^c(2n)$

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#linear-algebra #abstract-algebra #group-theory #clifford-algebras #spin-geometry
87
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Grading of Clifford algebra

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#algebraic-geometry #multilinear-algebra #clifford-algebras
94
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The action of $SL(2, \mathbb R)$ on $\mathbb R^4$ though Clifford algebra

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#abstract-algebra #group-actions #quaternions #clifford-algebras
228
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Exponential of a 3D multivector in Clifford's Geometric Algebra

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#clifford-algebras #geometric-algebras
41
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Embedding $SU(2)\times SU(2)\to Cl(\Bbb R^4)$

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#abstract-algebra #group-theory #lie-groups #clifford-algebras #spin-geometry
115
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Why are Clifford Algebras Superalgebras?

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#abstract-algebra #bilinear-form #clifford-algebras
64
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Rewriting the Geometric Product in 3D Space?

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#clifford-algebras #geometric-algebras
289
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The bases of Clifford algebra

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#clifford-algebras
191
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How to we square unit vectors to 1,-1, or 0? What does ℜ( p, q, r) means?

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#vector-spaces #clifford-algebras #geometric-algebras
84
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What is the proof of the inner product formula between a vector and an r-blade?

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#clifford-algebras #geometric-algebras
196
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Solving a system of linear equations in Clifford Algebra

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#linear-algebra #clifford-algebras #geometric-algebras
162
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Hamilton's $\mathbb{H}$ as the even subalgebra of the Clifford algebra $Cl_{0,3}(\mathbb{R})$. what about the "odd" subalgebra?

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#abstract-algebra #vector-spaces #quaternions #clifford-algebras
126
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How do you take this multivector derivative that has a nested variable?

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#clifford-algebras #geometric-algebras
148
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Is the multivector derivative invariant under a change of coordinates?

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#derivatives #clifford-algebras #geometric-algebras
326
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How is Grassmann Algebra better than just using determinants?

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#linear-algebra #vector-spaces #clifford-algebras #grassmannian

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