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Intersection of Levi subgroups via intersection of their Weyl groups

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#representation-theory #lie-algebras #algebraic-groups #root-systems #coxeter-groups
131
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Proving that $X\times (Y\times Z)+Y\times (Z\times X)+Z\times (X\times Y)=0$ for all $X, Y, Z\in \mathbb{R^3}$

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#vectors #lie-algebras #cross-product
355
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Result of Parallel transport along geodesic on $U(n)$

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#differential-geometry #optimization #lie-groups #lie-algebras
448
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Is $SU(n) \subset \text{Spin}(2n)$?

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#lie-groups #lie-algebras #spin-geometry #unitary-matrices
54
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About embedding associative algebras

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#lie-algebras #free-lie-algebra
1.4k
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Hermitian (?) representations of $su(2)$

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#representation-theory #lie-algebras #unitary-matrices
100
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Definition of the $O$ category for Kac Moody algebras

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#representation-theory #definition #lie-algebras #kac-moody-algebras
179
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A question on Lie algebra

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#lie-groups #lie-algebras
661
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Representations of $\mathfrak{sl}(3,\mathbb{C})$ and the symmetric group

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#group-theory #representation-theory #lie-algebras #symmetric-groups
764
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What are the two dimensional abelian Lie subgroups of SL(2,R)?

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#abstract-algebra #lie-groups #lie-algebras #low-dimensional-topology #semisimple-lie-algebras
122
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Lie group actions on Symplectic manifold

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#differential-geometry #lie-groups #lie-algebras #symplectic-geometry #lie-derivative
155
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Tensor product of Highest weight irreducible modules of an untwisted affine Kac Moody algebra

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#representation-theory #lie-algebras #tensor-products #quotient-spaces #verma-modules
226
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The Shapovalov form for Verma modules.

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#lie-algebras #bilinear-form #semisimple-lie-algebras #verma-modules
278
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Structure of affine Lie algebras

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#lie-algebras #mathematical-physics #central-extensions #kac-moody-algebras
193
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How exactly can you construct unitary representations from coadjoint orbits?

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#representation-theory #lie-groups #lie-algebras #symplectic-geometry

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