Results 1 to 10 of about 21,113 (168)
Cellular Cohomology in Homotopy Type Theory [PDF]
Logical Methods in Computer Science, 2020 We present a development of cellular cohomology in homotopy type theory. Cohomology associates to each space a sequence of abelian groups capturing part of its structure, and has the advantage over homotopy groups in that these abelian groups of many ...
Ulrik Buchholtz, Kuen-Bang Hou
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Cohomology of simple modules for sl3(k) in characteristic 3 [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we calculate cohomology of a classical Lie algebra of type A 2 over an algebraically field k of characteristic p = 3 with coefficients in simple modules.
A.A. Ibrayeva +2 more
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Mathematics, 2023 A certain Grothendieck topology assigned to a metric space gives rise to a sheaf cohomology theory which sees the coarse structure of the space. Already constant coefficients produce interesting cohomology groups. In degree 0, they see the number of ends
Elisa Hartmann
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On Cohomology Groups of Four-Dimensional Nilpotent Associative Algebras
مجلة بغداد للعلوم, 2022 The study of cohomology groups is one of the most intensive and exciting researches that arises from algebraic topology. Particularly, the dimension of cohomology groups is a highly useful invariant which plays a rigorous role in the geometric ...
N. F. Mohammed +2 more
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On the Morse–Novikov Cohomology of blowing up complex manifolds
Comptes Rendus. Mathématique, 2020 Inspired by the recent works of S. Rao–S. Yang–X.-D. Yang and L. Meng on the blow-up formulae for de Rham and Morse–Novikov cohomology groups, we give a new simple proof of the blow-up formula for Morse–Novikov cohomology by introducing the relative ...
Zou, Yongpan
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From β to η: a new cohomology for deformed Sasaki-Einstein manifolds
Journal of High Energy Physics, 2022 We discuss in detail the different analogues of Dolbeault cohomology groups on Sasaki-Einstein manifolds and prove a new vanishing result for the transverse Dolbeault cohomology groups H ∂ ¯ p 0 k $$ {H}_{\overline{\partial}}^{\left(p,0\right)}(k ...
Edward Lødøen Tasker
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Cohomologies of n-Lie Algebras with Derivations
Mathematics, 2021 The goal of this paper is to study cohomological theory of n-Lie algebras with derivations. We define the representation of an n-LieDer pair and consider its cohomology.
Qinxiu Sun, Zhixiang Wu
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Splitting Extensions of Nonassociative Algebras and Modules with Metagroup Relations
Axioms, 2022 A class of nonassociative algebras is investigated with mild relations induced from metagroup structures. Modules over nonassociative algebras are studied. For a class of modules over nonassociative algebras, their extensions and splitting extensions are
Sergey Victor Ludkowski
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Satellites of Functors for Nonassociative Algebras with Metagroup Relations
Mathematics, 2022 The article is devoted to non-associative algebras with metagroup relations and modules over them. Their functors are studied. Satellites of functors are scrutinized. An exactness of satellite sequences and diagrams is investigated.
Sergey Victor Ludkowski
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On Rham cohomology of locally trivial Lie groupoids over triangulated manifolds
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 Based on the isomorphism between Lie algebroid cohomology and piecewise smooth cohomology of a transitive Lie algebroid, it is proved that the Rham cohomology of a locally trivial Lie groupoid G on a smooth manifold M is isomorphic to the piecewise Rham ...
Jose R. Oliveira
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