List questions from lie-groups

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Lie algebra associated with the symplectic group $\mathrm{Sp}(2m)$?

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Lie algebra associated with the orthogonal group $\operatorname{SO}(2n)$?

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Writing down cohomology groups of the complex Grassmannian

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$\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$

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Maslov Index product property.

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Continuous map of Lie Groups

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The special orthogonal group is a manifold

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Lie group heuristics for a raising operator for $(-1)^n \frac{d^n}{d\beta^n}\frac{x^\beta}{\beta!}|_{\beta=0}$

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Prove that there is an isomorphism of vector spaces from the tangent space at the identity to the tangent space at any other element of the group

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Can Young tableaux determine all the irreducible representations of Lie groups?

Published on 10 May 2026 - 22:10

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Dilation Invariance

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Finding the universal cover of a matrix group

Published on 12 Apr 2026 - 3:03

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Reference request: GL(n)

Published on 14 Apr 2026 - 17:49

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Classifying Lie group homomorphisms

Published on 17 Apr 2026 - 1:12

List Question

Non-linear Lie groups.

Lie algebra associated with the symplectic group $\mathrm{Sp}(2m)$?

Lie algebra associated with the orthogonal group $\operatorname{SO}(2n)$?

Writing down cohomology groups of the complex Grassmannian

$\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$

Maslov Index product property.

Continuous map of Lie Groups

The special orthogonal group is a manifold

Lie group heuristics for a raising operator for $(-1)^n \frac{d^n}{d\beta^n}\frac{x^\beta}{\beta!}|_{\beta=0}$

Prove that there is an isomorphism of vector spaces from the tangent space at the identity to the tangent space at any other element of the group

Can Young tableaux determine all the irreducible representations of Lie groups?

Dilation Invariance

Finding the universal cover of a matrix group

Reference request: GL(n)

Classifying Lie group homomorphisms

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