Results 31 to 40 of about 41,540 (204)
Combinatorial Hopf algebras from renormalization [PDF]
, 2009 In this paper we describe the right-sided combinatorial Hopf structure of three Hopf algebras appearing in the context of renormalization in quantum field theory: the non-commutative version of the Fa\`a di Bruno Hopf algebra, the non-commutative version
Alessandra Frabetti +15 more
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Journal of Algebra, 1995 The authors study the structure of finite dimensional semisimple Hopf algebras over a field \(K\), using the trace formula, the Nichols-Zoeller theorem [\textit{W. D. Nichols} and \textit{M. B. Zoeller}, J. Pure Appl. Algebra 56, 51-57 (1989; Zbl 0659.16006)] and the authors' results in other papers.
Larson, R.G., Radford, D.E.
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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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The category of affine algebraic regular monoids
AIMS Mathematics, 2022 The main aim of this study is to characterize affine weak $ k $-algebra $ H $ whose affine $ k $-variety $ S = M_{k}(H, k) $ admits a regular monoid structure.
Haijun Cao, Fang Xiao
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Integrals in Hopf algebras over rings [PDF]
, 2003 Integrals in Hopf algebras are an essential tool in studying finite dimensional Hopf algebras and their action on algebras. Over fields it has been shown by Sweedler that the existence of integrals in a Hopf algebra is equivalent to the Hopf algebra ...
Lomp, Christian
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Journal of Algebra, 2000 Recall that a finite group is called perfect if it does not have non-trivial 1-dimensional representations (over the field of complex numbers C). By analogy, let us say that a finite dimensional Hopf algebra H over C is perfect if any 1-dimensional H-module is trivial. Let us say that H is biperfect if both H and H^* are perfect.
Etingof, Pavel +3 more
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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 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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Advances in Mathematics, 2017 60 pages, 43 figures. Version 2: New Part 3 on Schr\"oder Cambrian Algebra.
Chatel, Grégory, Pilaud, Vincent
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Hopf algebra structures on generalized quaternion algebras
Electronic Research ArchiveIn this paper, we use elementary linear algebra methods to explore possible Hopf algebra structures within the generalized quaternion algebra. The sufficient and necessary conditions that make the generalized quaternion algebra a Hopf algebra are given ...
Quanguo Chen , Yong Deng
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