Results 41 to 50 of about 2,227,858 (357)

On finite representations of conformal algebras [PDF]

open access: yes, 2010
We prove a finite torsion-free associative conformal algebra to have a finite faithful conformal representation. As a corollary, it is shown that one may join a conformal unit to such an algebra.
Kolesnikov, Pavel
core   +2 more sources

Brackets in representation algebras of Hopf algebras [PDF]

open access: yesJournal of Noncommutative Geometry, 2018
For any graded bialgebras A and B , we define a commutative graded algebra A_B representing the functor of B -representations ...
Massuyeau, Gwenael, Turaev, Vladimir
openaire   +4 more sources

Covariant representation theory of the Poincaré algebra and some of its extensions [PDF]

open access: yes, 2009
There has been substantial calculational progress in the last few years for gauge theory amplitudes which involve massless four dimensional particles.
R. Boels
semanticscholar   +1 more source

On special covariants in the exterior algebra of a simple Lie algebra [PDF]

open access: yes, 2014
We study the subspace of the exterior algebra of a simple complex Lie algebra linearly spanned by the copies of the little adjoint representation or, in the case of the Lie algebra of traceless matrices, by the copies of the n-th symmetric power of the ...
De Concini, Corrado   +3 more
core   +2 more sources

Theory of B(X)-Module: Algebraic Module Structure of Generally Unbounded Infinitesimal Generators

open access: yesAdvances in Mathematical Physics, 2020
The concept of logarithmic representation of infinitesimal generators is introduced, and it is applied to clarify the algebraic structure of bounded and unbounded infinitesimal generators.
Yoritaka Iwata
doaj   +1 more source

From Tilings of Orientable Surfaces to Topological Interlocking Assemblies

open access: yesApplied Sciences
A topological interlocking assembly (TIA) is an assembly of blocks together with a non-empty subset of blocks called the frame such that every non-empty set of blocks is kinematically constrained and can therefore not be removed from the assembly without
Reymond Akpanya   +2 more
doaj   +1 more source

The Zakharov–Shabat Spectral Problem for Complexification and Perturbation of the Korteweg–de Vries Equation

open access: yesAxioms, 2023
In this paper we consider examples of complex expansion (cKdV) and perturbation (pKdV) of the Korteweg–de Vries equation (KdV) and show that these equations have a representation in the form of the zero-curvature equation.
Tatyana V. Redkina   +2 more
doaj   +1 more source

On the representation theory of an algebra of braids and ties [PDF]

open access: yes, 2008
We consider the algebra ℰn(u) introduced by Aicardi and Juyumaya as an abstraction of the Yokonuma–Hecke algebra. We construct a tensor space representation for ℰn(u) and show that this is faithful.
S. Ryom-Hansen
semanticscholar   +1 more source

A commutant realization of Odake's algebra [PDF]

open access: yes, 2013
The bc\beta\gamma-system W of rank 3 has an action of the affine vertex algebra V_0(sl_2), and the commutant vertex algebra C =Com(V_0(sl_2), W) contains copies of V_{-3/2}(sl_2) and Odake's algebra O.
Andrew, R. Linshaw, Thomas Creutzig
core   +1 more source

Irreducible Representations of Algebras [PDF]

open access: yesCanadian Journal of Mathematics, 1974
The concept of the universal enveloping algebra of a (not necessarily associative) algebra X is basic to the study of the representations of X, because there is a one-to-one correspondence between the representations of X and . If one is only interested in studying a certain class of the representations of X, the thought occurs that there may exist a ...
openaire   +1 more source

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