A note on Lie algebra cohomology

Larsen, Michael J.; Lunts, Valery A.

doi:10.2140/ant.2021.15.773

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Form

Policies for Authors

Ethics Statement

ISSN: 1944-7833 (e-only)

ISSN: 1937-0652 (print)

Author Index

To Appear

Other MSP Journals

This article is available for purchase or by subscription. See below.

A note on Lie algebra cohomology

Michael J. Larsen and Valery A. Lunts

Vol. 15 (2021), No. 3, 773–783

DOI: 10.2140/ant.2021.15.773

Abstract

Given a finite dimensional Lie algebra $L$ , let $I$ be the augmentation ideal in the universal enveloping algebra $U (L)$ . We study the conditions on $L$ under which the $Ext$ -groups $Ext (k, k)$ for the trivial $L$ -module $k$ are the same when computed in the category of all $U (L)$ -modules or in the category of $I$ -torsion $U (L)$ -modules. An application to cohomology of equivariant sheaves is given.

PDF Access Denied

We have not been able to recognize your IP address 3.17.58.155 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

Lie algebra cohomology, cohomology of equivariant sheaves

Mathematical Subject Classification 2010

Primary: 17B55

Secondary: 14L30

Milestones

Received: 12 February 2020

Revised: 4 August 2020

Accepted: 10 October 2020

Published: 20 May 2021

Authors

Michael J. Larsen
Department of Mathematics Indiana University Bloomington, IN United States

Valery A. Lunts
Department of Mathematics Indiana University Bloomington, IN United States

Vol. 15, No. 3, 2021