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Weyl group of Parabolic subgroup

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#lie-groups #lie-algebras #algebraic-groups
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Why $SU(2)$ and $SO(3)$ share the same Lie algebra?

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#group-theory #lie-groups #lie-algebras
38
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How it's possible that the same Lie algebra give different Lie group?

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#group-theory #lie-groups #lie-algebras
416
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structure of ideals in lie algebra

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#abstract-algebra #lie-algebras #ideals #maximal-and-prime-ideals #semisimple-lie-algebras
92
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equivalent definitions of ideals in non commutative, non associative algebra

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#abstract-algebra #lie-algebras #ideals #maximal-and-prime-ideals
445
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Isomorphism between root systems: why not assume isometry?

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#lie-algebras #root-systems
592
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Relationship between $su(4)$, $so(4)$ and $su(2)\oplus su(2)$

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#lie-algebras
236
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Lie algebra convert into a category?

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#category-theory #representation-theory #lie-algebras
124
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Definition of Cartan subalgebra in Erdmann-Wildon

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#lie-algebras #semisimple-lie-algebras
97
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Is this an error in Humphreys' Lie algebra book? $\pi(T_m - T_{m-1}) = U_m - U_{m-1}$

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#lie-algebras #solution-verification
107
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Confusion over spin representation and coordinate ring of maximal orthogonal Grassmannian

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#representation-theory #lie-groups #lie-algebras #classical-groups
387
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Why restrict to complex Lie algebras?

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#manifolds #lie-groups #lie-algebras #complex-manifolds
24
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Representations of the Spin(N) group in terms of differential operators?

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#group-theory #lie-algebras #spin-geometry
337
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Representations of Semisimple Lie algebras

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#representation-theory #lie-algebras
148
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Are all $\mathfrak{su}(n)$ irreducible representations faithful?

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#representation-theory #lie-algebras #semisimple-lie-algebras

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