On the cohomology of some Hopf algebroids and Hattori-Stong theorems.
Baker, Andrew (2000)
Homology, Homotopy and Applications
Similarity:
Baker, Andrew (2000)
Homology, Homotopy and Applications
Similarity:
G. I. Sharygin (2003)
Banach Center Publications
Similarity:
We employ the notion of the universal differential calculus to propose yet another approach to the Hopf-type cohomology of Hopf algebras.
Deena Al-Kadi (2010)
Colloquium Mathematicae
Similarity:
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.
Jaume Aguadé (1981)
Mathematische Zeitschrift
Similarity:
Pearson, Kelly Jeanne (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Similarity:
John W. Rutter (1976)
Colloquium Mathematicae
Similarity:
Pierre Berthelot (2012)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Jacek Brodzki, Graham A. Niblo, Nick J. Wright (2012)
Journal of the European Mathematical Society
Similarity:
We give a new perspective on the homological characterizations of amenability given by Johnson & Ringrose in the context of bounded cohomology and by Block & Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterizations. We apply these ideas to give a new proof of non-vanishing for the bounded cohomology of a free group.
Hüttemann, Thomas (2011)
Serdica Mathematical Journal
Similarity:
2010 Mathematics Subject Classification: Primary 18G35; Secondary 55U15. We consider non-standard totalisation functors for double complexes, involving left or right truncated products. We show how properties of these imply that the algebraic mapping torus of a self map h of a cochain complex of finitely presented modules has trivial negative Novikov cohomology, and has trivial positive Novikov cohomology provided h is a quasi-isomorphism. As an application we obtain a new...
Rolf Farnsteiner (1991)
Mathematische Zeitschrift
Similarity:
Jean-Louis Loday (1995)
Mathematica Scandinavica
Similarity:
Malakhaltsev, M.A. (1999)
Lobachevskii Journal of Mathematics
Similarity:
Andrzej Czarnecki (2014)
Annales Polonici Mathematici
Similarity:
A characterisation of trivial 1-cohomology, in terms of some connectedness condition, is presented for a broad class of metric spaces.
Takeo Ohsawa (1992)
Mathematische Zeitschrift
Similarity:
Wilhelm Singhof (1978)
Mathematische Zeitschrift
Similarity:
Kermit Sigmon (1975)
Aequationes mathematicae
Similarity:
P.J. HUBER (1961)
Mathematische Annalen
Similarity: