Results 31 to 40 of about 1,475 (226)
International Journal of Algebra and Computation, 2011 We investigate several generalizations of the Hopf algebra MQSym whose constructions come from labelings of special diagrams in bijection with packed matrices. Their products come either from the Hopf algebras WSym or WQSym, respectively built on integer set partitions and set compositions.
Duchamp, Gerard Henry Edmond +4 more
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Braided Hopf Algebras Obtained from Coquasitriangular Hopf Algebras [PDF]
Communications in Mathematical Physics, 2008 43 pages, 1 ...
Beattie, Margaret, Bulacu, Daniel
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Kappa-Minkowski spacetime, kappa-Poincaré Hopf algebra and realizations [PDF]
, 2011 We unify κ-Minkowki spacetime and Lorentz algebra in unique Lie algebra. Introducing commutative momenta, a family of κ-deformed Heisenberg algebras and κ-deformed Poincaré algebras are defined. They are specified by the matrix depending on momenta.
Domagoj Kovavcevi'c, S. Meljanac
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Quantum twist-deformed D = 4 phase spaces with spin sector and Hopf algebroid structures
Physics Letters B, 2019 We consider the generalized (10+10)-dimensional D=4 quantum phase spaces containing translational and Lorentz spin sectors associated with the dual pair of twist-quantized Poincare Hopf algebra H and quantum Poincare Hopf group Gˆ.
Jerzy Lukierski +2 more
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The Quantum Symmetry in Nonbalanced Hopf Spin Models Determined by a Normal Coideal Subalgebra
Journal of Mathematics, 2021 For a finite-dimensional cocommutative semisimple Hopf C∗-algebra H and a normal coideal ∗-subalgebra H1, we define the nonbalanced quantum double DH1;H as the crossed product of H with H1op^, with respect to the left coadjoint representation of the ...
Xin Qiaoling, Cao Tianqing
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International Journal of Mathematics and Mathematical Sciences, 2004 Using diagrammatic pictures of tensor contractions, we consider a Hopf algebra (Aop⊗ℛλA*)* twisted by an element ℛλ∈A*⊗Aop corresponding to a Hopf algebra morphism λ:A→A.
Daijiro Fukuda, Ken'ichi Kuga
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Multiplier Hopf Coquasigroup: Motivation and Biduality
Mathematics, 2022 Inspired by the multiplier Hopf algebra theory introduced by A. Van Daele, this paper introduces a new algebraic structure, a multiplier Hopf coquasigroup, by constructing the integral dual of an infinite-dimensional Hopf quasigroup with faithful ...
Tao Yang
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NOETHERIAN HOPF ALGEBRAS [PDF]
Glasgow Mathematical Journal, 2013 AbstractA brief survey of some aspects of noetherian Hopf algebras is given, concentrating on structure, homology, and classification, and accompanied by a panoply of open problems.
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On the Hopf algebra structure of perturbative quantum field theories [PDF]
, 1997 We show that the process of renormalization encapsules a Hopf algebra structure in a natural manner. This sheds light on the recently proposed connection between knots and renormalization theory.
D. Kreimer
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Physics Letters B, 2019 We present the quantum κ-deformation of BMS symmetry, by generalizing the lightlike κ-Poincaré Hopf algebra. On the technical level our analysis relies on the fact that the lightlike κ-deformation of Poincaré algebra is given by a twist and the lightlike
Andrzej Borowiec +3 more
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