Categorical Constructions for Hopf Algebras
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Publication:2995351
DOI10.1080/00927871003705583zbMath1226.18002arXiv0905.2613OpenAlexW2963400481MaRDI QIDQ2995351
Publication date: 20 April 2011
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0905.2613
Module categories in associative algebras (16D90) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Hopf algebras and their applications (16T05)
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V-universal Hopf algebras (co)acting on Ω-algebras ⋮ Generators for comonoids and universal constructions ⋮ Free Poisson Hopf algebras generated by coalgebras ⋮ A new invariant for finite dimensional Leibniz/Lie algebras ⋮ Milnor-Moore categories and monadic decomposition ⋮ Free resolutions for free unitary quantum groups and universal cosovereign Hopf algebras ⋮ Takeuchi's free Hopf algebra construction revisited. ⋮ Formal plethories ⋮ Nonstandard braid relations and Chebyshev polynomials. ⋮ Monadic decompositions and classical Lie theory ⋮ On epimorphisms and monomorphisms of Hopf algebras. ⋮ Limits and colimits of Hopf algebras ⋮ The automorphisms group and the classification of gradings of finite dimensional associative algebras ⋮ Equivalences of (co)module algebra structures over Hopf algebras ⋮ Eilenberg-Moore and Kleisli type categories for bimonads on arbitrary categories
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