The Second Cohomology Spaces $$ \mathcal{K} $$(2) with Coefficients in the Superspace of Weighted Densities
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DOI: 10.1007/s11253-021-01870-w
Abstract: Over the (1, 2)-dimensional supercircle, we investigate the second cohomology space associated with the Lie superalgebra $$ \mathcal{K} $$ (2) of vector fields on the supercircle S1|2 with coefficients in the space of weighted densities.… read more here.
Keywords: cohomology; weighted densities; mathcal coefficients; second cohomology ... See more keywords
Cohomology of the spaces of commuting elements in Lie groups of rank two
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DOI: 10.1016/j.topol.2021.107851
Abstract: Let $G$ be the classical group, and let Hom$(\mathbb{Z}^m,G)$ denote the space of commuting $m$-tuples in $G$. Baird proved that the cohomology of Hom$(\mathbb{Z}^m,G)$ is identified with a certain ring of invariants of the Weyl… read more here.
Keywords: spaces commuting; elements lie; commuting elements; cohomology ... See more keywords