Results 31 to 40 of about 41,770 (202)
Involutory Quasi-Hopf Algebras [PDF]
Algebras and Representation Theory, 2009 26 ...
Bulacu, D. +2 more
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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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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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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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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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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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The Cambrian Hopf Algebra [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Cambrian trees are oriented and labeled trees which fulfill local conditions around each node generalizing the conditions for classical binary search trees.
G. Chatel, V. Pilaud
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Journal of Algebra, 2004 If \(Q\) is a Schurian Hopf quiver and \(k\) is a field of characteristic zero, the simple pointed Hopf subalgebras of a graded Hopf algebra structure on the path coalgebra \(kQ^c\) are classified. A dual Gabriel theorem for pointed Hopf algebras is proved.
van Oystaeyen, Fred, Zhang, Pu
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