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Your search keyword '"Exact sequence"' showing total 2 results
Start Over Descriptor "Exact sequence" Topic 16e40
2 results on '"Exact sequence"'

1. Homology of Centralizers.

Author

Mikhailov, Roman and Passi, Inder BirS.

Subjects
HOMOLOGY theory, ALGEBRAIC topology, GROUP algebras, GROUP theory, FINITE groups
Abstract

Given a group Π, we study the group homology of centralizers Πg, g ∈ Π, and of their central quotients Πg/〈 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. [ABSTRACT FROM AUTHOR]

Published
2007
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2. The first Hochschild (co)homology when adding arrows to a bound quiver algebra

Author

Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos, Sibylle Schroll, Andrea Solotar, Institut Montpelliérain Alexander Grothendieck (IMAG), Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Instituto de Matemática y Estadística Rafael Laguardia [Montevideo] (IMERL), Universidad de la República [Montevideo] (UCUR), IME, Universidade de São Paulo (USP), Departamento de Matemática [Buenos Aires], Facultad de Ciencias Exactas y Naturales [Buenos Aires] (FCEyN), Universidad de Buenos Aires [Buenos Aires] (UBA)-Universidad de Buenos Aires [Buenos Aires] (UBA), Institute of Mathematics and Statistics [Sao Paulo] (IME-USP), and University of Leicester

Subjects
18G15, Pure mathematics, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], COHOMOLOGIA, Relative, 01 natural sciences, Mathematics::Algebraic Topology, 16E30, Cohomology, Hochschild, Mathematics::K-Theory and Homology, Quiver, 0103 physical sciences, FOS: Mathematics, 0101 mathematics, Representation Theory (math.RT), 18G25, 16E40, 16E30, 18G15, Mathematics, Exact sequence, 18G25, Algebra and Number Theory, 010102 general mathematics, [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA], 16E40, K-Theory and Homology (math.KT), 16. Peace & justice, Homology, Mathematics - K-Theory and Homology, Arrow, [MATH.MATH-KT]Mathematics [math]/K-Theory and Homology [math.KT], 010307 mathematical physics, Mathematics - Representation Theory, Vector space
Abstract

We provide a formula for the change of the dimension of the first Hoch\-schild cohomology vector space of bound quiver algebras when adding new arrows. For this purpose we show that there exists a short exact sequence which relates the first cohomology vector spaces of the algebras to the first relative cohomology. Moreover, we show that the first Hochschild homologies are isomorphic when adding new arrows., Comment: 17 pages - small changes made

Published
2019
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