Results 261 to 270 of about 13,362,899 (320)

Derivation Algebra in Noncommutative Group Algebras

Proceedings of the Steklov Institute of Mathematics, 2020
The paper udner review deals with the study, for a generally infinite non-commutative discrete group \(G\), of the derivation algebras in the group algebra of \(G\) in terms of characters on a groupoid associated with the group. Necessary conditions are obtained for a character to define a derivation.
Andronick A. Arutyunov
openaire   +3 more sources

On the coherence of one-relator groups and their group algebras

Annals of Mathematics, 2023
We prove that one-relator groups are coherent, solving a well-known problem of Gilbert Baumslag. Our proof strategy is readily applicable to many classes of groups of cohomological dimension two.
A. Jaikin‐Zapirain, Marco Linton
semanticscholar   +1 more source

Summands of finite group algebras

Czechoslovak Mathematical Journal, 2020
We study the inverse problem of the determination of a group algebra from the knowledge of its Wedderburn decomposition. We show that a certain class of matrix rings always occur as summands of finite group algebras.
C. Dietzel, Gaurav Mittal
semanticscholar   +1 more source

Algebraic Groups

Oberwolfach Reports, 2010
The workshop dealt with a broad range of topics from the structure theory and the representation theory of algebraic groups (in the widest sense). There was emphasis on the following areas:• classical and quantum cohomology of homogeneous varieties,• representation theory and its connections to orbits and flag varieties.
Michel Brion, Jens Carsten Jantzen
openaire   +1 more source

Abelian Codes in Principal Ideal Group Algebras

IEEE Transactions on Information Theory, 2013
We study abelian codes in principal ideal group algebras (PIGAs). We first give an algebraic characterization of abelian codes in any group algebra and provide some general results.
Somphong Jitman   +3 more
semanticscholar   +1 more source

Smooth Fourier multipliers in group algebras via Sobolev dimension

, 2015
We investigate Fourier multipliers with smooth symbols defined over locally compact Hausdorff groups. Our main results in this paper establish new H\"ormander-Mikhlin criteria for spectral and non-spectral multipliers.
A. Gonz'alez-P'erez   +2 more
semanticscholar   +1 more source

Semilocal Group Algebras

Mathematical Notes, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

PBW Deformations of Skew Group Algebras in Positive Characteristic

, 2013
We investigate deformations of a skew group algebra that arise from a finite group acting on a polynomial ring. When the characteristic of the underlying field divides the order of the group, a new type of deformation emerges that does not occur in ...
A. V. Shepler, S. Witherspoon
semanticscholar   +1 more source

Algebraic Groups

Oberwolfach Reports, 2022
Linear algebraic groups is an active research area in contemporary mathematics. It has rich connections to algebraic geometry, representation theory, algebraic combinatorics, number theory, algebraic topology, and differential equations. The foundations of this theory were laid by A. Borel, C. Chevalley, J.-P. Serre, T. A. Springer and J.
Corrado De Concini   +2 more
openaire   +1 more source

Home - About - Disclaimer - Privacy