Cohomology of Fixed Point Sets and Deformation of Algebras.
Volker Puppe (1977/78)
Manuscripta mathematica
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Volker Puppe (1977/78)
Manuscripta mathematica
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Deena Al-Kadi (2010)
Colloquium Mathematicae
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We study the second Hochschild cohomology group of the preprojective algebra of type D₄ over an algebraically closed field K of characteristic 2. We also calculate the second Hochschild cohomology group of a non-standard algebra which arises as a socle deformation of this preprojective algebra and so show that the two algebras are not derived equivalent. This answers a question raised by Holm and Skowroński.
Theodore Chang (1976)
Manuscripta mathematica
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Robin Hartshorne (1972)
Manuscripta mathematica
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J.-H. Eschenburg (1992)
Manuscripta mathematica
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E.L. Green, D. Zacharia (1994)
Manuscripta mathematica
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Jaume Aguadé (1981)
Mathematische Zeitschrift
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Urs Würgler (1979)
Manuscripta mathematica
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Pearson, Kelly Jeanne (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Rolf Farnsteiner (1991)
Mathematische Zeitschrift
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John W. Rutter (1976)
Colloquium Mathematicae
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Piotr Malicki, Andrzej Skowroński (2014)
Colloquium Mathematicae
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We determine the Hochschild cohomology of all finite-dimensional generalized multicoil algebras over an algebraically closed field, which are the algebras for which the Auslander-Reiten quiver admits a separating family of almost cyclic coherent components. In particular, the analytically rigid generalized multicoil algebras are described.
Jean-Louis Loday (1995)
Mathematica Scandinavica
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Akira Masuoka (2003)
Banach Center Publications
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Mikiya Masuda (1981)
Mathematische Zeitschrift
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Douglas C. Ravenel (1976/77)
Mathematische Zeitschrift
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Pierre Berthelot (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Yemon Choi (2010)
Banach Center Publications
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We revisit the old result that biflat Banach algebras have the same cyclic cohomology as C, and obtain a quantitative variant (which is needed in separate, joint work of the author on the simplicial and cyclic cohomology of band semigroup algebras). Our approach does not rely on the Connes-Tsygan exact sequence, but is motivated strongly by its construction as found in [2] and [5].