Cohomology theory of the Virasoro algebra
type: Item
instance of: scholarly article
title: Cohomology theory of the Virasoro algebra
zbMATH Open document ID: 0597.17011
author: B. R. Sitaram
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The cohomology of the Lie algebra of polynomial vector fields on the circle is studied with coefficients in modules of the form \(u_ iv_ j=(a+bi-j)v_{i+j}\), \(a,b\in \mathbb R\). These modules occur in the Ramond-Neveu-Schwarz superalgebras [see \textit{I. Kaplansky}, Commun. Math. Phys. 86, 49--54 (1982; Zbl 0515.17007)]. It is proved that the mentioned cohomology for \(a\not\in\mathbb Z\) is trivial.
reviewed by: Alice Fialowski
Mathematics Subject Classification ID: 17B56
Mathematics Subject Classification ID: 17B68
Mathematics Subject Classification ID: 17B66
Mathematics Subject Classification ID: 17A70
zbMATH DE Number: 3961912
zbMATH Keywords: Virasoro algebra
zbMATH Keywords: cohomology
zbMATH Keywords: Lie algebra of polynomial vector fields
zbMATH Keywords: Ramond-Neveu-Schwarz superalgebras
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3961912