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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… Click to show full 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. We explicitly give the 2-cocycle spanning for these cohomology spaces.
Keywords:
cohomology;
weighted densities;
mathcal coefficients;
second cohomology;
spaces mathcal;
cohomology spaces
Journal Title: Ukrainian Mathematical Journal
Year Published: 2021
Link to full text (if available)
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Journal Title: Ukrainian Mathematical Journal
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!