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Computational Topology and Lie Group Theory

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#reference-request #algebraic-topology #lie-groups #book-recommendation
418
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Representation theory of Lie groups and outer automorphisms

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#representation-theory #lie-groups #lie-algebras
3k
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Standard Basis of $SU(2)$--where does the 1/2 come from?

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#linear-algebra #lie-groups #lie-algebras #rotations
89
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Why are $\mathfrak{pgl}_n\simeq\mathfrak{sl}_n$ when characteristic does not divide $n$?

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#abstract-algebra #lie-groups #lie-algebras #algebraic-groups
217
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Non-equivalent metrics on $PSL_2(\mathbb{R})$

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#lie-groups #hyperbolic-geometry
231
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Taylor series identity for polynomial using Lie group

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#lie-groups #lie-algebras
205
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Calculation of commutator of Lie algebra for affine linear maps

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#lie-groups
225
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What kind of geometric object is the Pauli spin matrix vector $\vec{\sigma}$?

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#representation-theory #lie-groups #quaternions #quantum-mechanics
73
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dimension of space of origin-symmetric ellipsoids

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#convex-analysis #lie-groups #euclidean-geometry
153
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Minimal word length of factorization of invertible matrices into elementary matrices

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#linear-algebra #abstract-algebra #matrices #group-theory #lie-groups
47
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Cohomology of complex Lie groups via compact form

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#algebraic-topology #lie-groups
2k
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Is Cartan subalgebra of Complex semisimple Lie algebra the maximal Abelian subalgebra? I found two places give the different answers.

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#lie-groups #lie-algebras
1.3k
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Cartan Lie Algebra of the Unitary Group $U(N)$?

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#lie-groups #lie-algebras
332
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Lie Algebra SU(2)

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#hilbert-spaces #lie-groups #lie-algebras #spin-geometry #groups-of-lie-type
400
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Lie groups where $x \mapsto x^2$ is a diffeomorphism?

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#differential-geometry #differential-topology #lie-groups #smooth-manifolds

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