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15
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Semisimple Lie groups with finite center

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#differential-geometry #lie-groups #lie-algebras #topological-groups #semisimple-lie-algebras
42
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What is the induced action on the Lie algebra of a Lie group

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#lie-groups #lie-algebras #algebraic-groups
145
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Is the Lie-subalgebra generated by the root-spaces of a semisimple Lie-algebra semisimple?

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#lie-algebras #root-systems #semisimple-lie-algebras #reductive-groups
36
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Rearranging a Lie algebra adjoint action

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#linear-algebra #optimization #lie-algebras #quadratic-programming
113
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Calculating the Haar integral on $SU(2)$ in practice

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#integration #lie-groups #lie-algebras #unitary-matrices #haar-measure
42
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Deriving SU(2) generators from its representation

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#lie-groups #lie-algebras
58
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Converse of Cartans criterion

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#lie-algebras
40
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Borel and radical

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#lie-algebras
38
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A nbd of identity $V$ such that $V V^{-1 }$ is contained in another nbd of identity

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#lie-groups #lie-algebras #topological-groups
29
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Group isomorphism $\operatorname{Tgt}_e(G) \cong \operatorname{Hom}_{k-\text{linear}}(\ker(\epsilon)/\ker(\epsilon)^2, k)$ for algebraic groups.

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#lie-algebras #algebraic-groups #hopf-algebras
67
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properties of canonical algebra homomorphism $\varphi:U(L(A))→A$ for $A$ commutative, associative algebra

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#abstract-algebra #lie-algebras #free-lie-algebra
63
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Power series expansion of matrix logarithms

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#sequences-and-series #lie-groups #lie-algebras #matrix-calculus
29
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Regular elements of $G_2$

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#lie-algebras
113
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Are the two dimensional real representations of $SL(2, \mathbb{C})$ quaternionic?

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#lie-groups #lie-algebras
222
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Tensor product of irreducible representation of $\mathfrak{sl_3}$

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#abstract-algebra #representation-theory #lie-algebras #algebraic-groups #semisimple-lie-algebras

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