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Relationship between highest and lowest weights for a simple complex Lie algebra

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#linear-algebra #differential-geometry #representation-theory #lie-groups #lie-algebras
54
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What does the weights of $\mathfrak{gl}(V)$ look like as a Lie-module?

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#lie-groups #lie-algebras
706
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What is a Minimal Parabolic Subalgebra?

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#lie-groups #lie-algebras #root-systems
321
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Reductive Lie Algebra

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#lie-algebras
846
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Lie algebra and Lie Group correspondence

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#lie-groups #lie-algebras
240
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Indecomposable modules over nilpotent Lie algebras

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#modules #lie-algebras
814
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submodules of completely reducible modules

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#representation-theory #lie-algebras
340
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Coincidence of Lie Algebra and Lie Subgroup

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#linear-algebra #differential-geometry #differential-topology #lie-groups #lie-algebras
112
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Exponential and Lie algebra

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#linear-algebra #differential-geometry #lie-algebras #exponentiation
748
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Prove that the identification of $T_e G$ with the space of right-invariant vector fields induces the opposite Lie algebra structure.

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#lie-groups #lie-algebras
40
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Explicit generators of $\mathfrak{so}(6)$

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#lie-groups #lie-algebras
49
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A detail about Lie algebra?

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#representation-theory #lie-algebras
343
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Conditions for a neat subgroup to act fixed-point free

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#group-theory #geometry #lie-groups #lie-algebras #coxeter-groups
227
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Clarification on no faithful finite dimensional irreducible representation of the Heisenberg algebra

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#lie-algebras
282
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The most convenient set of infinitesimal generators of $GL^{+}(n,R)$?

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#group-theory #lie-groups #lie-algebras

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