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Register a new userHochschild cohomology of triangular string algebras and its ring structure
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We compute the Hochschild cohomology groups $HH^*(A)$ in case $A$ is a triangular string algebra, and show that its ring structure is trivial.
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We give a complete study of the Clifford-Weyl algebra ${mathcal C}(n,2k)$ from Bose-Fermi statistics, including Hochschild cohomology (with coefficients in itself). We show that ${mathcal C}(n,2k)$ is rigid when $n$ is even or when $k eq 1$. We find all non-trivial deformations of ${mathcal C}(2n+1,2)$ and study their representations.
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