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
Lévy–Khintchine decompositions for generating functionals on algebras associated to universal compact quantum groups
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DOI: 10.1142/s0219025718500170
Abstract: We study the first and second cohomology groups of the ∗-algebras of the universal unitary and orthogonal quantum groups UF+ and OF+. This provides valuable information for constructing and classifying Levy processes on these quantum… read more here.
Keywords: quantum; decompositions generating; quantum groups; khintchine decompositions ... See more keywords