Results 21 to 30 of about 173,448 (222)
Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology
Comptes Rendus. Mathématique, 2023 We replace a ring with a small $\mathbb{C}$-linear category $\mathcal{C}$, seen as a ring with several objects in the sense of Mitchell. We introduce Fredholm modules over this category and construct a Chern character taking values in the cyclic ...
Balodi, Mamta, Banerjee, Abhishek
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alpha-type Chevalley-Eilenberg cohomology of Hom-Lie algebras and bialgebras [PDF]
, 2019 The purpose of this paper is to define an $\alpha$-type cohomology, which we call $\alpha$-type Chevalley-Eilenberg cohomology, for Hom-Lie algebras.
Hurle, Benedikt, Makhlouf, Abdenacer
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Bounded cohomology of discrete groups [PDF]
, 2016 Bounded cohomology of groups was first defined by Johnson and Trauber during the seventies in the context of Banach algebras. As an independent and very active research field, however, bounded cohomology started to develop in 1982, thanks to the ...
R. Frigerio
semanticscholar +1 more source
Integral p-adic Hodge theory [PDF]
, 2018 We construct a new cohomology theory for proper smooth (formal) schemes over the ring of integers of C_p. It takes values in a mixed-characteristic analogue of Dieudonne modules, which was previously defined by Fargues as a version of Breuil-Kisin ...
Bhatt, Bhargav +2 more
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A Note on Coeffective 1–Differentiable Cohomology
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 After a brief review of some basic notions concerning 1-differentiable cohomology, named here ď-cohomology, we introduce a Lichnerowicz ď– cohomology in a classical way.
Ida Cristian, Mercheşan Sabinşan
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On the Cohomology of Topological Semigroups
Communications in Advanced Mathematical Sciences, 2019 In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr +1 more
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The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras
Electronic Research Archive, 2022 The main purpose of this paper is to provide a full cohomology of a Hom-pre-Lie algebra with coefficients in a given representation. This new type of cohomology exploits strongly the Hom-type structure and fits perfectly with simultaneous deformations of
Shanshan Liu +2 more
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The Hochschild cohomology ring of the singular cochain algebra of a space [PDF]
, 2011 We determine the algebra structure of the Hochschild cohomology of the singular cochain algebra with coefficients in a field on a space whose cohomology is a polynomial algebra.
Kuribayashi, Katsuhiko
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Topological Insulators from Group Cohomology [PDF]
, 2016 We classify insulators by generalized symmetries that combine space-time transformations with quasimomentum translations. Our group-cohomological classification generalizes the nonsymmorphic space groups, which extend point groups by real-space ...
A. Alexandradinata +3 more
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Deformations of Yang-Baxter operators via n-Lie algebra cohomology
Nuclear Physics B, 2023 We introduce a cohomology theory of n-ary self-distributive objects in the tensor category of vector spaces that classifies their infinitesimal deformations.
Mohamed Elhamdadi, Emanuele Zappala
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