Results 71 to 80 of about 61,116 (180)

Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions

Nuclear Physics B
We extend the equations of motion that describe non-relativistic elastic collision of two particles in one dimension to an arbitrary associative algebra. Relativistic elastic collision equations turn out to be a particular case of these generic equations.
Pavlos Kassotakis, Theodoros Kouloukas, Maciej Nieszporski   +2 more
doaj   +1 more source

Algebraic foundations for qualitative calculi and networks

, 2017
A qualitative representation $\phi$ is like an ordinary representation of a relation algebra, but instead of requiring $(a; b)^\phi = a^\phi | b^\phi$, as we do for ordinary representations, we only require that $c^\phi\supseteq a^\phi | b^\phi \iff c ...
Hirsch, Robin, Jackson, Marcel, Kowalski, Tomasz   +2 more
core  

Free non-associative principal train algebras [PDF]

Proceedings of the Edinburgh Mathematical Society, 1984
The definitions of finite dimensional baric, train, and special train algebras, and of genetic algebras in the senses of Schafer and Gonshor (which coincide when the ground field is algebraically closed, and which I call special triangular) are given in Worz-Busekros's monograph [8].
openaire   +1 more source

Coulomb branch quantization and abelianized monopole bubbling

Journal of High Energy Physics, 2019
We develop an approach to the study of Coulomb branch operators in 3D N $$ \mathcal{N} $$ = 4 gauge theories and the associated quantization structure of their Coulomb branches. This structure is encoded in a one-dimensional TQFT subsector of the full 3D
Mykola Dedushenko, Yale Fan, Silviu S. Pufu, Ran Yacoby   +3 more
doaj   +1 more source

Classifying large N limits of multiscalar theories by algebra

Journal of High Energy Physics
We develop a new approach to RG flows and show that one-loop flows in multiscalar theories can be described by commutative but non-associative algebras.
Nadia Flodgren, Bo Sundborg
doaj   +1 more source

Higher Polynomial Identities for Mutations of Associative Algebras. [PDF]

Results Math, 2023
Bremner MR, Brox J, Sánchez-Ortega J.
europepmc   +1 more source

Abstract structure of partial function $*$-algebras over semi-direct product of locally compact groups [PDF]

Sahand Communications in Mathematical Analysis, 2015
This article presents a unified approach to the abstract notions of partial convolution and involution in $L^p$-function spaces over semi-direct product of locally compact groups.
Arash Ghaani Farashahi, Ali Kamyabi-Gol
doaj  

Framed cohomological Hall algebras and cohomological stable envelopes. [PDF]

Lett Math Phys, 2023
Botta TM.
europepmc   +1 more source

First order linear ordinary differential equations in associative algebras

Electronic Journal of Differential Equations, 2004
In this paper, we study the linear differential equation $$ frac{dx}{dt}=sum_{i=1}^n a_i(t) x b_i(t) + f(t) $$ in an associative but non-commutative algebra $mathcal{A}$, where the $b_i(t)$ form a set of commuting $mathcal{A}$-valued functions expressed ...
Gordon Erlebacher, Garrret E. Sobczyk
doaj  

Convolution equation and operators on the euclidean motion group

Journal of Nigerian Society of Physical Sciences
Let $G = \mathbb{R}^2\rtimes SO(2)$  be the Euclidean motion group, let g be the Lie algebra of G and let U(g) be the universal enveloping algebra of g.
U. N. Bassey, U. E. Edeke
doaj   +1 more source