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Classification of Quantum Groups via Galois Cohomology
(Springer, 2019-11)
The first example of a quantum group was introduced by P. Kulish and N. Reshetikhin. In the paper Kulish et al. (J Soviet Math 23:2435–2441, 1983), they found a new algebra which was later called Uq(sl(2)). Their example ...
Cohomologia de grupos finitos e g-coincidências de aplicações
(Universidade Estadual Paulista (UNESP), 2014)
On Hilbert schemes and Chen-Ruan cohomology.
(2011-10-13)
Through a geometric approach, we explain the origin of the crepant resolution conjecture of Y.
Ruan. More precisely, we calculate the Chen-Ruan cohomology and the quantum corrections of
Ruan for the cohomology of Hilbert ...
The first group (co)homology of a group G with coefficients in some G-modules
(NISC PTY LTD, 2008)
Let G be a group. We give some formulas for the first group homology and cohomology of a group G with coefficients in an arbitrary G-module (Z) over tilde. More explicit calculations are done in the special cases of free ...
Cohomology and extensions of braces
(Pacific Journal Mathematics, 2016-09)
Braces and linear cycle sets are algebraic structures playing a major role in the classification of involutive set-theoretic solutions to the Yang-Baxter equation. This paper introduces two versions of their (co)homology ...
Finite subgroups in algebras and cohomology
(2008)
We give a cohomological characterization of the set of conjugacy classes of finite subgroups of the projective multiplicative group of a finite dimensional algebra that become conjugate to a given group over some finite ...
Hochschild cohomology of triangular string algebras and its ring structure
(Elsevier Science, 2014-05)
We compute the Hochschild cohomology group HH*(A) in case A is triangular string algebra, and show that its ring structure is trivial.
Hochschild cohomology of incidence algebras as one-point extensions
(Elsevier Science Inc, 2003-12)
The aim of this paper is to compute the Hochschild cohomology groups of particular of algebras associated to partially ordered sets. © 2003 Elsevier Science Inc. All rights reserved.
Homogeneous spaces, algebraic K-theory and cohomological dimension of fields
(European Mathematical Society, Suiza, 2022)
Let q be a non-negative integer. We prove that a perfect field K has cohomological dimension at most q + 1 if, and only if, for any finite extension L of K and for any homogeneous space Z under a smooth linear connected ...