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15
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Question about a proof theorem 5.2 of Humphreys

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#lie-algebras
107
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How can one obtain the resulting 3D rotation matrix by "integrating" over some time-dependent angular velocity vector?

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#solution-verification #lie-groups #lie-algebras #orthogonal-matrices #matrix-exponential
54
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Another identity implied by the Jacobi identity for semidirect product of Lie algebra

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#lie-algebras #semidirect-product
45
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If $H$ is a Hopf algebra deformation of $U (\mathfrak g)$ then $H/h H \simeq U (\mathfrak g)$ as a Hopf algebra.

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#lie-algebras #hopf-algebras #quantum-groups #deformation-theory
49
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Re-arranging products of exponentials for a Lie algebra

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#operator-theory #lie-algebras #matrix-exponential
116
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Why the Jacobi identity and the commutator as the lie bracket?

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#lie-groups #lie-algebras
55
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Adjoint representation is completely reducible

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#lie-algebras
98
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Is every Lie group a cover of a matrix Lie group?

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#reference-request #lie-groups #lie-algebras
28
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prove that a Lie algebra is semisimple

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#lie-algebras #semisimple-lie-algebras
104
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Killing form of a Lie algebra of matrix

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#lie-algebras #semisimple-lie-algebras
54
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Invariants of graded space is the same as the graded space of invariants

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#representation-theory #lie-algebras #invariant-theory #semisimple-lie-algebras
54
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A question about the centralizer structure of a nilpotent element of a semsimple Lie Algebra

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#abstract-algebra #algebraic-geometry #representation-theory #lie-groups #lie-algebras
217
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What is the kernel of $SL_2(C)\to SO_3(C)$

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#lie-groups #lie-algebras
39
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About Lie algebras and the corresponding lie groups

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#lie-groups #lie-algebras
31
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What is the definition of Hamiltonian derivation in Poisson algebra?

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#lie-algebras

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