Results 121 to 130 of about 1,475 (226)
Remarks on Q-oscillators representation of Hopf-type boson algebras
Le Matematiche, 1998 We present a method of constructing known deformed or undeformed oscillators as quotients of certain models of Hopf-type oscillator algebras, using similar techniques to those of determining fix point sets of the adjoint action of a Hopf algebra ...
Anna Maria Paolucci, Ioannis Tsohantjis
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Cubo, 2010 We will present sufficient conditions for the Fredholm property of Wiener-Hopf plus and minus Hankel operators with different Fourier matrix symbols in the C*-algebra of semialmost periodic elements.
L. P Castro, A. S. Silva
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, 2004 We define graded Hopf algebras with bases labeled by various types of graphs and hypergraphs, provided with natural embeddings into an algebra of polynomials in infinitely many variables. These algebras are graded by the number of edges and can be considered as generalizations of symmetric or quasi-symmetric functions.
Novelli, Jean-Christophe +2 more
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Realizations and star-product of doubly $$\kappa $$ κ -deformed Yang models
European Physical Journal C: Particles and FieldsThe Yang algebra was proposed a long time ago as a generalization of the Snyder algebra to the case of curved background spacetime. It includes as subalgebras both the Snyder and the de Sitter algebras and can therefore be viewed as a model of ...
T. Martinić-Bilać +2 more
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Journal of Algebra, 1998 The author gives a construction of Hopf algebras over any commutative ring \(k\). The method involves looking at trivial \(n\)-parameter deformations of a Hopf algebra \(A\) over \(k\) and writing certain data as power-series in \(n\) variables. For example, if \(a\) and \(b\) are group-like elements in the deformation, then \(a-b\) is part of the data.
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Quantum walks, deformed relativity and Hopf algebra symmetries. [PDF]
Philos Trans A Math Phys Eng Sci, 2016 Bisio A, D'Ariano GM, Perinotti P.
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Connected Hopf algebras that are not Hopf Ore extensions of enveloping algebras
Journal of AlgebraWe construct a family of connected Hopf algebras with finite Gelfand-Kirillov dimension, none of which is an iterated Hopf Ore extension of the universal enveloping algebra of its primitive part. This provides a negative answer to a question posed by Li and Zhou.
Mengying Hu, Quanshui Wu
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Gauge theory on ρ-Minkowski space-time
Journal of High Energy PhysicsWe construct a gauge theory model on the 4-dimensional ρ-Minkowski space-time, a particular deformation of the Minkowski space-time recently considered. The corresponding star product results from a combination of Weyl quantization map and properties of ...
Valentine Maris, Jean-Christophe Wallet
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Simulating the Hadamard gate in the Fibonacci disk code for universal topological quantum computation. [PDF]
Innovation (Camb), 2023 Wu YS.
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