Mixed cohomology of Lie superalgebras
Representation Theory
2019-02-28 v1 Quantum Algebra
Abstract
We investigate a new cohomology of Lie superalgebras, which may be compared to a de Rham cohomology of Lie supergroups involving both differential and integral forms. It is defined by a BRST complex of Lie superalgebra modules, which is formulated in terms of a Weyl superalgebra and incorporates inequivalent representations of the bosonic Weyl subalgebra. The new cohomology includes the standard Lie superalgebra cohomology as a special case. Examples of new cohomology groups are computed.
Keywords
Cite
@article{arxiv.1902.10627,
title = {Mixed cohomology of Lie superalgebras},
author = {Yucai Su and R. B. Zhang},
journal= {arXiv preprint arXiv:1902.10627},
year = {2019}
}
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21 pages