cohomology group
The Second Hochschild Cohomology Group for One Parametric Self Injective Algebras
... Hochschild cohomology group for a class of self-injective algebras of tame rep- resentation type namely, which are standard one-parametric but not weakly ...Hochschild Cohomology; Self-Injective ...
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Cohomology with Lp bounds on polycylinders
... If B is t.he sheaf of germs of bounded holomorphic functions on the closure of a polycylinder fl, it is proved, among other things, in [1] that the cohomology group.. As part of the vani[r] ...
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Enhanced Koszulity in Galois cohomology
... a group G can be a rather hard task, as we must find a minimum index after which the cohomology group of G with coefficients in any torsion G-module vanishes, or else show that for any such module, ...
151
Mixed automorphic forms and differential equations
... the second kind modulo exact forms and a certain parabolic cohomology group... determined the isomorphism explicitly in terms of the periods of the automorphic forms.[r] ...
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Change of velocity in dynamical systems
... We cbserve that change of velocity is related to the first cohomology group of the dynamical system, and the winding numbers, due to Schwartzman, has an equivalent interpretation in term[r] ...
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Holomorphic automorphic forms and cohomology
... Knopp [66] generalized this approach to automorphic forms with arbitrary real weight. Then a multiplier system is needed in the transformation behavior of holo- morphic automorphic forms. The factor (z − t) k − 2 becomes ...
150
Second cohomology of Lie rings and the Schur multiplier
... the cohomology group H 2 (L, A) and to show how its elements correspond one-to-one to the equivalence classes of central extensions of the Lie algebra L with the module A, where we regard A as abelian Lie ...
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The ?2 cohomology of hyperplane complements
... cohomology of the universal cover of the Salvetti complex associated to an arbitrary Artin group (as well as a formula for the cohomology of the Sal- vetti complex with generic, 1-dimensional local ...
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Cohomology and the subgroup structure of a finite soluble group
... In Chapter 4, the first cohomology groups of soluble groups are considered, and an application is given to a proof of a recent theorem of Volkmar Welker described in Chapter 1 on the hom[r] ...
137
Narrowing Cohomology for Complex S^6
... One of our goals is to complete as much as possible a table of hodge numbers for Bott- Chern cohomology on a complex S 6 . The table of hodge numbers for Aeppli cohomology is, of course, given by the Serre ...
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Schur algebras, combinatorics, and cohomology
... Taking the foregoing as motivation we now concentrate on the case G «G L n(k). For feDJ let S = S(G) be the Schur algebra associated with n and f (cf. [Gl]), so that modS is the category o f homogeneous polynomial ...
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The support of local cohomology modules
... local cohomology modules, if the input is given by polynomials with in- teger coefficients, then the calculation of supports modulo different primes p involves polynomials whose degrees can be bounded from above ...
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On the cohomology theory of knot groups
... Let ~,K2 be knots whose groups have cohomological Then so does the knot group of the product knot We see that the set of all knots whose groups satisfy our conjecture form a commutative [r] ...
83
A two-sided q-analogue of the Coxeter complex
... mapping x ⊗ y to xa I ⊗ a −1 I y for any I ⊆ S and any x, y ∈ O(Q ⋊ W ). Thus the terms of Y and Y ′ are isomorphic. However, these isomorphisms need not commute to the differentials. In order to show that Y and Y ′ are ...
6
Heterotic Chen-Ruan Cohomology
... The sheaves on such a A-gerbe over a space X are thus naturally graded by the characters ˆ A. Of particular interest to us will be gerbes with structure group C ∗ which we call O ∗ -gerbes. The sheaves on them ...
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Bott-Chern Characteristic Forms And Index Theorems For Coherent Sheaves On Complex Manifolds
... Chern cohomology, which is a refinement of deRham ...deRham cohomology classes of a cohesive mod- ule only depends on the Z 2 -graded topological bundle structure by ...
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Computing Néron-Severi groups and cycle class groups
... Our computability results rely on the ability to compute ´etale cohomology with finite coefficients. Some of the results are conditional also on the Tate conjecture and related conjectures. We now formulate these ...
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Cohomology of Absolute Galois Groups
... Remark 4.20 . Unfortunately the paper [HJ95] contains some es- sential mistakes due to wrong interpretation of the Bloch-Kato con- jecture. These mistakes affected also some subsequent articles on the relations between ...
120
ON INVERSE CATEGORIES AND TRANSFER IN COHOMOLOGY
... the group algebras of automorphism groups of objects, one factor for each isomorphism class of objects, and the size of that isomorphism class is equal to the size of the involved ...
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GKM theory of rationally smooth group embeddings
... Remark 1.1.3. Let G be a compact connected Lie group. Let T be a maximal compact torus of G. Under these assumptions, G/T is connected and admits a Bruhat decomposition. In fact, G/T is homeomorphic to the flag ...
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