Topologizing Lie algebra cohomology

David Kyed

doi:10.1016/j.difgeo.2016.08.003

Topologizing Lie algebra cohomology

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We show that the theory of Lie algebra cohomology can be recast in a topological setting and that classical results, such as the Shapiro lemma and the van Est isomorphism, carry over to this augmented context.

Original language	English
Journal	Differential Geometry and its Applications
Volume	49
Pages (from-to)	208-226
ISSN	0926-2245
DOIs	https://doi.org/10.1016/j.difgeo.2016.08.003
Publication status	Published - 1. Dec 2016

Keywords

Group cohomology
Lie algebra cohomology
van Est's theorem

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10.1016/j.difgeo.2016.08.003

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title = "Topologizing Lie algebra cohomology",

abstract = "We show that the theory of Lie algebra cohomology can be recast in a topological setting and that classical results, such as the Shapiro lemma and the van Est isomorphism, carry over to this augmented context.",

keywords = "Group cohomology, Lie algebra cohomology, van Est's theorem",

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year = "2016",

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language = "English",

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journal = "Differential Geometry and its Applications",

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T1 - Topologizing Lie algebra cohomology

AU - Kyed, David

PY - 2016/12/1

Y1 - 2016/12/1

N2 - We show that the theory of Lie algebra cohomology can be recast in a topological setting and that classical results, such as the Shapiro lemma and the van Est isomorphism, carry over to this augmented context.

AB - We show that the theory of Lie algebra cohomology can be recast in a topological setting and that classical results, such as the Shapiro lemma and the van Est isomorphism, carry over to this augmented context.

KW - Group cohomology

KW - Lie algebra cohomology

KW - van Est's theorem

UR - https://arxiv.org/abs/1603.03691

U2 - 10.1016/j.difgeo.2016.08.003

DO - 10.1016/j.difgeo.2016.08.003

M3 - Journal article

SN - 0926-2245

VL - 49

SP - 208

EP - 226

JO - Differential Geometry and its Applications

JF - Differential Geometry and its Applications

ER -

Topologizing Lie algebra cohomology

Abstract

Keywords

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