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Adjoint action on idempotents in Clifford algebras

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#ring-theory #group-actions #idempotents #clifford-algebras
1k
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Any rigorous books on geometric calculus

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#differential-geometry #vector-analysis #book-recommendation #clifford-algebras #geometric-algebras
185
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Please explain what a co-product actually does or means (in the context of Hopf-Algebra)

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#lie-algebras #tensor-products #hopf-algebras #clifford-algebras
446
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Geometric algebra: is a $k$-vector simple iff its square is a scalar?

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#linear-algebra #exterior-algebra #clifford-algebras #geometric-algebras
123
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Do the gamma matrices and complete basis of real and complex 4 X 4 matrices

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#linear-algebra #clifford-algebras
146
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Lemma 4.14 Heat Kernels and Dirac Operators

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#differential-geometry #riemannian-geometry #clifford-algebras
162
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When is a multivector in Cl(n) invertible?

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#inverse #clifford-algebras #geometric-algebras
81
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Help to find the physical pattern, related to eigenvalues of multivectors (possibly hard)

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#matrices #eigenvalues-eigenvectors #physics #clifford-algebras
202
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The eigenvalues of a multivector

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#linear-algebra #abstract-algebra #matrices #algebraic-geometry #clifford-algebras
46
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The geometric product of the cross product: $f(\mathbf{v},\mathbf{x})=(\mathbf{x}\times\mathbf{v})^2$

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#matrices #group-theory #determinant #cross-product #clifford-algebras
220
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What is the determinant of a multivector?

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#matrices #determinant #clifford-algebras
312
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Are left isoclinic rotations a group?

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#group-theory #euclidean-geometry #rotations #quaternions #clifford-algebras
400
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What is the physical/phylosophical meaning of geometric (Clifford) product?

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#vectors #clifford-algebras #geometric-algebras
70
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Definition p-multigraded Hilbert spaces

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#operator-theory #clifford-algebras #noncommutative-geometry
71
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How can I bend a complex number (and multivectors in general)?

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#linear-algebra #vector-spaces #metric-spaces #vectors #clifford-algebras

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