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Maximal noncompact forms in classical Lie algebra?

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#lie-groups #lie-algebras #bilinear-form #root-systems
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When is the Lie algebra of the center of Lie group the center of its Lie algebra

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#lie-groups #lie-algebras
742
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Highest weights of irreducible components of tensor product of irreducible sl(3)-module.

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#abstract-algebra #representation-theory #lie-algebras #tensor-products
516
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Non-degenerate bilinear forms of Lie algebra with a degenerate Killing form

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#lie-groups #lie-algebras #quadratic-forms #bilinear-form
65
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How do I show that there are $q^2$ solutions $M$ to $MX-XM=0$ where $X$ is non central in $\mathop{GL}(2,q),$ $M\in M(2,q)$ and $q$ is an odd prime?

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#lie-algebras
277
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Problem 9.7 - Lie Algebras - Humphreys

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#abstract-algebra #lie-algebras #root-systems
775
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Characterisation of Cartan subalgebras as maximal toral; redundant "abelian" in the definition of "toral"

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#reference-request #lie-algebras
204
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Humphreys proof check

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#lie-algebras #proof-explanation
691
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Borel subalgebras contain solvable radical

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#abstract-algebra #lie-algebras
126
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How was this Lie algebra found?

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#differential-geometry #lie-groups #lie-algebras #fiber-bundles
80
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Help with a proof in Humphreys

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#lie-algebras #proof-explanation
65
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How to build a basis for a vector space E(n+1) from a set of points given in E(n) (a vector space of rank n).

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#vector-spaces #lie-algebras
537
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Reading help, ideal of an ideal is an ideal?

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#lie-algebras #ideals #proof-explanation
316
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-- Cartan matrix for an exotic type of Lie algebra --

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#group-theory #representation-theory #lie-groups #lie-algebras #root-systems
1.7k
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Is the adjoint representation of the unitary group irreducible?

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#representation-theory #lie-groups #lie-algebras #unitary-matrices

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