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math.QA2012★ 2 cited
Deformations associated to rigid algebras
Murray Gerstenhaber, Anthony Giaquinto
The deformations of an infinite dimensional algebra may be controlled not just by its own cohomology but by that of an associated diagram of algebras, since an infinite dimensional…
math.QA2012
On the cohomology of the Weyl algebra, the quantum plane, and the q-Weyl algebra
Murray Gerstenhaber, Anthony Giaquinto
Deformation theory can be used to compute the cohomology of a deformed algebra with coefficients in itself from that of the original. Using the invariance of the Euler-Poincare cha…