Results 11 to 20 of about 41,540 (204)
Braided Hopf algebras obtained from coquasitriangular Hopf algebras [PDF]
Communications in Mathematical Physics, 2007 Let $(H, \sigma)$ be a coquasitriangular Hopf algebra, not necessarily finite dimensional. Following methods of Doi and Takeuchi, which parallel the constructions of Radford in the case of finite dimensional quasitriangular Hopf algebras, we define $H_ ...
D. Bulacu +16 more
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Ann Comb, 2022 AbstractIn this paper, we expand on the notion of combinatorial presheaf, first introduced explicitly by Aguiar and Mahajan in 2010 but already present in the literature in some other points of view. We do this by adapting the algebraic framework of species to the study of substructures in combinatorics. Afterwards, we consider functions that count the
Penaguiao R.
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Proceedings of the London Mathematical Society, 2001 50 pages, LaTeX ...
Vaes, Stefaan, Van Daele, Alphons
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Higher Structures, 2021 We introduce the notion of an oplax Hopf monoid in any braided monoidal bicategory, generalizing that of a Hopf monoid in a braided monoidal category in an appropriate way. We show that Hopf V-categories introduced in [BCV16] are a particular type of oplax Hopf monoids in the monoidal bicategory Span|V described in [B h17].
Buckley, Mitchell +3 more
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Cofree Hopf algebras on Hopf bimodule algebras [PDF]
Journal of Pure and Applied Algebra, 2015 We investigate a Hopf algebra structure on the cotensor coalgebra associated to a Hopf bimodule algebra which contains universal version of Clifford algebras and quantum groups as examples. It is shown to be the bosonization of the quantum quasi-shuffle algebra built on the space of its right coinvariants.
Fang, Xin, Jian, Run-Qiang
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Baxter algebras and Hopf algebras [PDF]
Transactions of the American Mathematical Society, 2003 By applying a recent construction of free Baxter algebras, we obtain a new class of Hopf algebras that generalizes the classical divided power Hopf algebra. We also study conditions under which these Hopf algebras are isomorphic.
Andrews, George E. +3 more
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Journal of Algebra, 2004 Let $K$ be a field of characteristic 0 containing all roots of unity. We classify all the Hopf structures on monomial $K$-coalgebras, or, in dual version, on monomial $K$-algebras.
Chen, Xiao-Wu +3 more
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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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Involutory Hopf Algebras [PDF]
Transactions of the American Mathematical Society, 1995 In 1975, Kaplansky conjectured that a finite-dimensional semisimple Hopf algebra is necessarily involutory. Twelve years later, Larson and Radford proved the conjecture in characterisitic 0 0 and obtained significant partial results in positive characteristics.
Passman, D. S., Quinn, Declan
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