List questions from lie-algebra-cohomology

Published on 10 Jun 2023 - 0:18

27

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When is the simply connected Lie group of a Lie algebra flat?

Published on 15 Nov 2023 - 8:44

29

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Lie algebra cohomology of formal non-commutative vector fields

Published on 19 Mar 2024 - 5:26

45

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How to show that $(\Lambda^2(g))^g = H^2(g)$?

Published on 21 Feb 2016 - 7:49

175

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A Isomorphism between the extension group and cohomology group of Lie algebras

Published on 03 Jul 2013 - 3:32

429

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Corestriction map in lie algebra cohomology

Published on 05 Dec 2013 - 7:27

117

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Quillen cohomology of Lie algebras

Published on 07 Oct 2020 - 16:00

124

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Casimir operator and Weibel

Published on 15 Oct 2020 - 2:00

357

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Lie algebra cohomology and De Rham cohomology of a compact Lie group

Published on 25 Nov 2020 - 9:19

191

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What is the (co)homology of a free (graded) Lie algebra?

Published on 18 Jan 2021 - 17:45

64

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What's the advantage of defining Lie algebra cohomology using derived functors?

Published on 29 Mar 2021 - 14:53

363

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2-cocycles in Lie group vs Lie algebra cohomology (context of projective reps)

Published on 17 Nov 2021 - 10:34

242

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Finite dimensional Lie algebras with trivial homology

Published on 06 Dec 2021 - 14:47

61

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Adjoint representation of a Lie group in homology of its lie algebra

Published on 08 Feb 2022 - 5:32

33

Views

Does $\mathbb R \overset{\iota}{\hookrightarrow} \mathfrak{aff}(1,\mathbb R) \overset{\pi}{\twoheadrightarrow} \mathbb R$ Lie algebra extension exist?

Published on 17 Jan 2023 - 7:45

List Question

Explicit calculations of Lie algebra homology and cohomology

When is the simply connected Lie group of a Lie algebra flat?

Lie algebra cohomology of formal non-commutative vector fields

How to show that $(\Lambda^2(g))^g = H^2(g)$?

A Isomorphism between the extension group and cohomology group of Lie algebras

Corestriction map in lie algebra cohomology

Quillen cohomology of Lie algebras

Casimir operator and Weibel

Lie algebra cohomology and De Rham cohomology of a compact Lie group

What is the (co)homology of a free (graded) Lie algebra?

What's the advantage of defining Lie algebra cohomology using derived functors?

2-cocycles in Lie group vs Lie algebra cohomology (context of projective reps)

Finite dimensional Lie algebras with trivial homology

Adjoint representation of a Lie group in homology of its lie algebra

Does $\mathbb R \overset{\iota}{\hookrightarrow} \mathfrak{aff}(1,\mathbb R) \overset{\pi}{\twoheadrightarrow} \mathbb R$ Lie algebra extension exist?

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