Results 21 to 30 of about 600 (187)
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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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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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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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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Hopf Differential Graded Galois Extensions
Mathematics, 2022 We introduce the concept of Hopf dg Galois extensions. For a finite dimensional semisimple Hopf algebra H and an H-module dg algebra R, we show that D(R#H)≅D(RH) is equivalent to that R/RH is a Hopf differential graded Galois extension.
Bo-Ye Zhang
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基本弱Hopf代数和弱覆盖箭图(Basic weak Hopf algebra and weak covering quiver)
Zhejiang Daxue xuebao. Lixue ban, 2016 We introduce a finite-dimensional basic and split weak Hopf algebra H over an algebraically closed field k with strongly graded Jacobson radical r. We obtain some structures of a finite-dimensional basic and split semilattice graded weak Hopf algebra,and
AHMEDMunir(穆尼尔•艾哈迈德) +1 more
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Hopf algebras with triality [PDF]
Transactions of the American Mathematical Society, 2012 In this paper we revisit and extend the constructions of Glauberman and Doro on groups with triality and Moufang loops to Hopf algebras. We prove that the universal enveloping algebra of any Lie algebra with triality is a Hopf algebra with triality. This allows us to give a new construction of the universal enveloping algebras of Malcev algebras.
Benkart, Georgia +2 more
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