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Central extensions, derivations, and automorphisms of the super Heisenberg-Virasoro algebra.
- Source :
-
Communications in Algebra . Aug2024, p1-16. 16p. - Publication Year :
- 2024
-
Abstract
- AbstractIn this paper, we use the Balinsky-Novikov construction to naturally realize the super Heisenberg-Virasoro algebra g . We then proceed to compute the second cohomology of g with trivial coefficients and determine its universal central extension. This yields two odd 2-cocycles in addition to the Virasoro 2-cocycle. We also calculate the first cohomology group of g in the adjoint module to classify all derivations of g . Finally, we classify all automorphisms of g and describe its automorphism group. [ABSTRACT FROM AUTHOR]
- Subjects :
- *AUTOMORPHISM groups
*AUTOMORPHISMS
*ALGEBRA
*COHOMOLOGY theory
Subjects
Details
- Language :
- English
- ISSN :
- 00927872
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 179056993
- Full Text :
- https://doi.org/10.1080/00927872.2024.2387058