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Ideals of $\mathfrak{gl}_n$

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#lie-groups #ideals #lie-algebras
105
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Derived Algebra is nilpotent implies the lie algebra is solvable

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#lie-groups #lie-algebras
897
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Is the Lie bracket of two vector fields well defined?

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#differential-geometry #lie-algebras #gradient-flows
142
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Lie algebra of a connected simple algebraic group is simple and a simply connected algebraic group having the same Lie algebra

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#algebraic-geometry #lie-algebras
67
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How does one compute the Hurewicz homomorphism for a (symplectic) nilmanifold?

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#lie-algebras #homology-cohomology #homotopy-theory #symplectic-geometry #compact-manifolds
1.2k
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$so(4)$ is isomorphic to $so(3)+so(3)$.

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#lie-groups #lie-algebras
169
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If the Lie algebra is ${\frak g}={\frak a}\oplus{\frak b}$ then the Lie group is $G=AB$?

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#differential-geometry #lie-groups #lie-algebras #smooth-manifolds #covering-spaces
56
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Simply connected linear algebraic group

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#algebraic-geometry #lie-groups #lie-algebras #algebraic-groups
166
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Linear Algebraic Groups with Same Lie Algebra (Soft Question)

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#algebraic-geometry #lie-algebras
316
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Spheres as Symplectic Homogeneous Spaces

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#differential-geometry #lie-groups #lie-algebras #spheres #homogeneous-spaces
173
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Relations between Lie algebras and Lie coalgebras.

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#representation-theory #lie-algebras #quantum-groups
2.8k
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The root system of $sl(3,\mathbb C)$

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#abstract-algebra #matrices #lie-algebras
161
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Matrix representation of Lie Algebra $B_2$

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#abstract-algebra #lie-groups #lie-algebras
663
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Cartan subalgebra of ${\frak so}(5)$

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#lie-groups #lie-algebras
97
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Understanding Quotienting by Relations vs Quotienting by Generators

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#abstract-algebra #ideals #lie-algebras #quotient-spaces #universal-algebra

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