Results 11 to 20 of about 1,246 (40)

Simplicity of skew group rings of abelian groups

, 2012
Given a group G, a (unital) ring A and a group homomorphism $\sigma : G \to \Aut(A)$, one can construct the skew group ring $A \rtimes_{\sigma} G$. We show that a skew group ring $A \rtimes_{\sigma} G$, of an abelian group G, is simple if and only if its
Öinert, Johan
core   +1 more source

Meadow enriched ACP process algebras [PDF]

, 2009
We introduce the notion of an ACP process algebra. The models of the axiom system ACP are the origin of this notion. ACP process algebras have to do with processes in which no data are involved.
C. A. Middelburg, C. A. Middelburg, C. A. Middelburg, J. A. Bergstra, J. A. Bergstra, J. A. Bergstra   +5 more
core   +4 more sources

Computation of Invariants of Lie Algebras by Means of Moving Frames

, 2010
A new purely algebraic algorithm is presented for computation of invariants (generalized Casimir operators) of Lie algebras. It uses the Cartan's method of moving frames and the knowledge of the group of inner automorphisms of each Lie algebra.
Ancochea J M, Andrada A, Bianchi L, Boyko V Nesterenko M Patera J Popovych R, Boyko V Patera J Popovych R, Campoamor-Stursberg R, Campoamor-Stursberg R, Campoamor-Stursberg R, Campoamor-Stursberg R, Campoamor-Stursberg R, de Graaf W A, Jacobson N, Jiri Patera, Kirillov A A, Lie S, MacCallum M A H, Morozov V V, Mubarakzyanov G M, Mubarakzyanov G M, Mubarakzyanov G M, Ndogmo J C, Ndogmo J C, Ndogmo J C, Ndogmo J C, Pauri M, Petrov A Z, Popovych R, Popovych R Boyko V Nesterenko M Lutfullin M, Racah G, Roman Popovych, Rubin J L, Snobl L, Tremblay S, Vyacheslav Boyko, Zassenhaus H Beck R E Kolman B   +34 more
core   +1 more source

Filtered-graded transfer of noncommutative Gr\"obner bases [PDF]

, 2015
As the case of free $\Bbbk$-algebras and $PBW$ algebras, given a bijective skew $PBW$ extension $A$, we will show that it is possible transfer Gr\"obner bases between $A$ and its associated graded ring.Comment: arXiv admin note: text overlap with arXiv ...
Gallego, Claudia
core   +2 more sources

Gradings, Braidings, Representations, Paraparticles: some open problems

, 2012
A long-term research proposal on the algebraic structure, the representations and the possible applications of paraparticle algebras is structured in three modules: The first part stems from an attempt to classify the inequivalent gradings and braided ...
Kanakoglou, Konstantinos
core   +2 more sources

Free structures in division rings

, 2013
Makar-Limanov's conjecture states that if a division ring D is finitely generated and infinite dimensional over its center k then D contains a free k-subalgebra of rank 2.
Júnior, Renato Fehlberg
core   +1 more source

Restricted simple Lie algebras and their infinitesimal deformations

, 2006
In this expository paper, we first review the classification of the restricted simple Lie algebras in characteristic different from 2 and 3 and then we describe their infinitesimal deformations.
Viviani, Filippo
core   +1 more source

Word maps in Kac-Moody setting

, 2015
The paper is a short survey of recent developments in the area of word maps evaluated on groups and algebras.
Klimenko, Elena, Kunyavskii, Boris, Morita, Jun, Plotkin, Eugene   +3 more
core  

Non-commutative covers and the modular group

, 2003
We use non-commutative geometry to study the bulk of finite dimensional representations of the modular group SL(2,Z). We give specific 2n-parameter families of 6n-dimensional representations obtained from the quotient singularity C^2 ...
Adriaenssens, Jan, Bruyn, Lieven Le
core  

Structure theorems of mixable shuffle algebras

, 2013
Guo, L., Xie, B.
core   +1 more source