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cohomology group
(redirected from Cohomology)

   Also found in: Wikipedia 0.02 sec.
cohomology group [′kō·hə′mäl·ə·jē ‚grüp]
(mathematics)
One of a series of Abelian groupsHn(K) that are used in the study of a simplicial complexKand are closely related to homology groups, being associated with cocycles and coboundaries in the same manner as homology groups are associated with cycles and boundaries.


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Topics include non-archimedean analytical geometry, approaches to non-archimedean geometry, the p-adic upper half plane, Berkovich analytic spaces and non-archimedean potential theory on curves, and p-adic cohomology from theory to practice.
The 18 highly refereed papers, many revised, discuss such topics as Kostant's theorem for Lie algebra cohomology, characters of simply-laced non-connected groups versus characters of non-simply-placed connected groups, quivers and the euclidean group, and irreducible representations of the special algebras in prime characteristic.
46 QA611 Based on a series of lectures delivered at the 2005 Summer School in Aperiodic Order at the University of Victoria, this graduate text explains how to write a tiling space as an inverse limit, compute the cohomology of various tiling spaces, and construct the pattern- equivariant cohomology of tilings.
 
 
 
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