Results 31 to 40 of about 1,414,924 (189)
Advances in Mathematics, 2005 Cluster algebras were introduced by S. Fomin and A. Zelevinsky in math.RT/0104151; their study continued in math.RA/0208229, math.RT/0305434. This is a family of commutative rings designed to serve as an algebraic framework for the theory of total positivity and canonical bases in semisimple groups and their quantum analogs.
Berenstein, Arkady, Zelevinsky, Andrei
openaire +3 more sources
Quantum stochastic convolution cocycles II [PDF]
, 2008 Schurmann's theory of quantum Levy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum groups and operator space coalgebras.
Skalski, Adam G., Lindsay, J. Martin
core +4 more sources
q-deformation of corner vertex operator algebras by Miura transformation
Journal of High Energy Physics, 2021 Recently, Gaiotto and Rapcak proposed a generalization of W N algebra by considering the symmetry at the corner of the brane intersection (corner vertex operator algebra).
Koichi Harada +3 more
doaj +1 more source
Journal of the European Optical Society-Rapid Publications, 2023 We investigate the atom-field system in the framework of harmonic oscillators based on deformed Heisenberg algebras. We explore the dynamic characteristics of the considered system under the effect of a nonlinear field.
Algarni Mariam +3 more
doaj +1 more source
Algebraic quantum synchronizable codes [PDF]
Journal of Applied Mathematics and Computing, 2016 In this paper, we construct quantum synchronizable codes (QSCs) based on the sum and intersection of cyclic codes. Further, infinite families of QSCs are obtained from BCH and duadic codes. Moreover, we show that the work of Fujiwara~\cite{fujiwara1} can be generalized to repeated root cyclic codes (RRCCs) such that QSCs are always obtained, which is ...
Guenda, K. +2 more
openaire +4 more sources
Journal of Algebra, 1995 For any Hecke symmetry $R$ there is a natural quantization $A_n(R)$ of the Weyl algebra $A_n$. The aim of this paper is to study some general ring-theoretic aspects of $A_n(R)$ and its relations to formal deformations of $A_n$. We also obtain further information on those quantizations obtained from some well-known Hecke symmetries.
Giaquinto, A., Zhang, J.J.
openaire +2 more sources
SYMMETRIC MULTIPLETS IN QUANTUM ALGEBRAS [PDF]
Modern Physics Letters A, 1996 We consider a modified version of the coproduct for [Formula: see text] and show that in the limit q→1, there exists an essentially non-cocommutative coproduct. We study the implications of this non-cocommutativity for a system of two spin-1/2 particles.
Kwek, L.C., Oh, C.H., Singh, K.
openaire +3 more sources
BCI/BCK- quantum algebra [PDF]
, 2021 The paper contains an investigation of the notion of BCI-algebras and BCK-algebras. The concept of quantale was created in 1984 to develop a framework for non-commutative spaces and quantum mechanics with a view toward non-commutative logic ...
Tabuni, Muna
core +2 more sources
Advances in Mathematics, 2011 An algebraic quantum group is a multiplier Hopf algebra with integrals. In this paper we will develop a theory of algebraic quantum hypergroups. It is very similar to the theory of algebraic quantum groups, except that the comultiplication is no longer assumed to be a homomorphism. We still require the existence of a left and of a right integral. There
DELVAUX, Lydia, Van Daele, A.
openaire +4 more sources
Twisted Poincare duality for some quadratic Poisson algebras [PDF]
, 2007 We exhibit a Poisson module restoring a twisted Poincaré duality between Poisson homology and cohomology for the polynomial algebra R=C[X1Xn] endowed with Poisson bracket arising from a uniparametrised quantum affine space.
Stéphane Launois +3 more
core +1 more source