Given a group Π, we study the group homology of centralizers Πg, g ∈ Π, and of their central quotients Π g/ < g >. This study is motivated by the structure of the Hochschild and the cyclic homology of group algebras, and is based on Quillen's approach to the cyclic homology of algebras via algebra extensions. A method of computing the de Rham complex of a group algebra by means of a Gruenberg resolution is also developed
AbstractWe propose a theory of central extensions for universal algebras, and more generally for obj...
Abstract. We define the Hochschild homology groups of a group ring ZG relative to a family of subgro...
AbstractGeneralizing the centralizer construction of Molev and Olshanski on symmetric groups, we stu...
Given a group Π, we study the group homology of centralizers Πg, g ∈ Π, and of their central quotien...
AbstractLet K(G) for a finite graph G with vertices v1,...,vn denote the K-algebra with generators X...
Os grupos de homologia (e cohomologia) associados a um grupo são invariantes algébricos importantes ...
Given a commutative ring k, a group G and an element gε G of infinite order with centralizer C(g), w...
AbstractGiven a commutative ring k, a group G and an element g∈G of infinite order with centralizer ...
We establish an algorithm computing the homology of commutative differential graded algebras (briefl...
AbstractWe compute the Hochschild homology and cohomology, and cyclic homology, of almost Calabi–Yau...
If R is a commutative ring, G is a nite group, and H is a subgroup of G, then the centralizer algeb...
AbstractLet g=k+p be a complexified Cartan decomposition of a complex semisimple Lie algebra g and l...
Abstract. The third homology group of GLn(R) is studied, where R is a ‘ring with many units ’ with c...
AbstractIn our recent papers the centralizer construction was applied to the series of classical Lie...
We give a simple algebraic recipe for calculating the components of the BV operator Δ on the Hochsch...
AbstractWe propose a theory of central extensions for universal algebras, and more generally for obj...
Abstract. We define the Hochschild homology groups of a group ring ZG relative to a family of subgro...
AbstractGeneralizing the centralizer construction of Molev and Olshanski on symmetric groups, we stu...
Given a group Π, we study the group homology of centralizers Πg, g ∈ Π, and of their central quotien...
AbstractLet K(G) for a finite graph G with vertices v1,...,vn denote the K-algebra with generators X...
Os grupos de homologia (e cohomologia) associados a um grupo são invariantes algébricos importantes ...
Given a commutative ring k, a group G and an element gε G of infinite order with centralizer C(g), w...
AbstractGiven a commutative ring k, a group G and an element g∈G of infinite order with centralizer ...
We establish an algorithm computing the homology of commutative differential graded algebras (briefl...
AbstractWe compute the Hochschild homology and cohomology, and cyclic homology, of almost Calabi–Yau...
If R is a commutative ring, G is a nite group, and H is a subgroup of G, then the centralizer algeb...
AbstractLet g=k+p be a complexified Cartan decomposition of a complex semisimple Lie algebra g and l...
Abstract. The third homology group of GLn(R) is studied, where R is a ‘ring with many units ’ with c...
AbstractIn our recent papers the centralizer construction was applied to the series of classical Lie...
We give a simple algebraic recipe for calculating the components of the BV operator Δ on the Hochsch...
AbstractWe propose a theory of central extensions for universal algebras, and more generally for obj...
Abstract. We define the Hochschild homology groups of a group ring ZG relative to a family of subgro...
AbstractGeneralizing the centralizer construction of Molev and Olshanski on symmetric groups, we stu...
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