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For L = the lie algebra of 2x2 upper triangular matrices over the C, is ad L = Der L?

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#lie-algebras
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The inner product in Cartan matrix

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#abstract-algebra #lie-algebras
538
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Strange parametrization of SO(3)

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#differential-geometry #lie-groups #lie-algebras
109
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Do we have $\{g x g^{-1}: x \in \mathfrak{g}\} = \mathfrak{g}$?

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#abstract-algebra #lie-groups #lie-algebras
72
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How many subalgebras are there in $sl_3$?

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#abstract-algebra #representation-theory #lie-groups #lie-algebras
77
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Differential of a representation of a linear algebraic group

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#algebraic-geometry #lie-algebras #algebraic-groups
60
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Faithful and irreducible representation of the lie algebra of an algebraic group

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#algebraic-geometry #lie-algebras #algebraic-groups
49
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Symmetric Polynomials in Geometry

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#differential-geometry #soft-question #lie-groups #lie-algebras #symmetric-polynomials
64
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Root system independent of chosen Cartan algebra

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#algebraic-geometry #lie-groups #lie-algebras
152
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Lie Bracket and Multiplication

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#lie-algebras
1.4k
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Closed form of Baker Campbell Hausdorff theorem with cyclic bracket structure

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#lie-groups #lie-algebras #closed-form #noncommutative-algebra
133
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Show $\phi$ is a isomorphism as a lie algebra homomorphism

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#abstract-algebra #representation-theory #lie-groups #lie-algebras #group-isomorphism
303
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Manin Triple and Lie Bialgebra correspondence?

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#lie-algebras
50
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Showing $M_\alpha$ subalgebra of semisimple complex Lie algebra $L$ of dimension 3

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#abstract-algebra #lie-algebras
453
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Eigenvalues of Cartan matrix D_n

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#matrices #eigenvalues-eigenvectors #lie-algebras

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