Results 11 to 20 of about 1,248 (37)

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

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

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

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  

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  

Fixed rings in quotients of completed group rings

, 2019
Let $k$ be $\mathbb{F}_p$ or $\mathbb{Z}_p$, let $G$ be a compact $p$-adic analytic group, and form its completed group algebra $kG$. Take a closed subgroup $\Gamma$ of $G$.
Woods, William
core  

Structure theorems of mixable shuffle algebras

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

Unification Theories: Rings, Boolean Algebras and Yang–Baxter Systems

Axioms, 2023
Florin F Nichita
exaly  

Fixed rings of quantum generalized Weyl algebras

Communications in Algebra, 2020
Jason Gaddis
exaly  

The inverse along an element in rings with an involution, Banach algebras and -algebras

Linear and Multilinear Algebra, 2017
Julio Benitez, Enrico Boasso
exaly