Results 41 to 50 of about 216,282 (303)
Centralizing traces and Lie-type isomorphisms on generalized matrix algebras: a new perspective
Czechoslovak Mathematical Journal, 2019 Let $${\cal R}$$ℛ be a commutative ring, $${\cal G}$$G be a generalized matrix algebra over $${\cal R}$$ℛ with weakly loyal bimodule and $${\cal Z}({\cal G})$$Z(G) be the center of $${\cal G}$$G. Suppose that $$\mathfrak{q}:{\cal G} \times {\cal G} \to {\
Xinfeng Liang, F. Wei, A. Fošner
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Polyadic Hopf Algebras and Quantum Groups
East European Journal of Physics, 2021 This article continues the study of concrete algebra-like structures in our polyadic approach, where the arities of all operations are initially taken as arbitrary, but the relations between them, the arity shapes, are to be found from some natural ...
S. Duplij
doaj +1 more source
, 2003 Braided m-Lie algebras induced by multiplication are introduced, which generalize Lie algebras, Lie color algebras and quantum Lie algebras. The necessary and sufficient conditions for the braided m-Lie algebras to be strict Jacobi braided Lie algebras ...
DI Gurevich +12 more
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Covariance Properties of Reflection Equation Algebras [PDF]
, 1992 The reflection equations (RE) are a consistent extension of the Yang-Baxter equations (YBE) with an addition of one element, the so-called reflection matrix or $K$-matrix.
Kulish, P. P., Sasaki, R.
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Representation theory of C-algebras for a higher order class of spheres and tori
, 2007 We construct C-algebras for a class of surfaces that are inverse images of certain polynomials of arbitrary degree. By using the directed graph associated to a matrix, the representation theory can be understood in terms of ``loop'' and ``string ...
Joakim Arnlind, Robinson C.
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Models of q-algebra representations: q-integral transforms and "addition theorems'' [PDF]
, 1994 In his classic book on group representations and special functions Vilenkin studied the matrix elements of irreducible representations of the Euclidean and oscillator Lie algebras with respect to countable bases of eigenfunctions of the Cartan ...
Kalnins, Ernie G., Miller, W., Jr.
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Universal K-matrices for quantum Kac-Moody algebras [PDF]
Representation Theory: An Electronic Journal of the AMS, 2020 We introduce the notion of a cylindrical bialgebra, which is a quasitriangular bialgebra H H endowed with a universal K-matrix, i.e., a universal solution of a generalized reflection equation, yielding an action of cylindrical braid groups on ...
Andrea Appel, Bart Vlaar
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Finite W-algebras for glN [PDF]
, 2018 We study the quantum finite W -algebras W (glN, f ), associ-ted to the Lie algebra glN, and its arbitrary nilpotent element f . We construct for such an algebra an r1× r1 matrix L(z) of Yangian type, where r1 is the number of maximal parts of the ...
De Sole, Alberto +2 more
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Maximal rank root subsystems of hyperbolic root systems
, 2003 A Kac-Moody algebra is called hyperbolic if it corresponds to a generalized Cartan matrix of hyperbolic type. We study root subsystems of root systems of hyperbolic algebras.
Tumarkin, P.
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Differential Calculi on Associative Algebras and Integrable Systems
, 2020 After an introduction to some aspects of bidifferential calculus on associative algebras, we focus on the notion of a "symmetry" of a generalized zero curvature equation and derive Backlund and (forward, backward and binary) Darboux transformations from ...
A Dimakis +30 more
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