Milnor-Moore theorems for bialgebras in characteristic zero

DOI10.1016/j.jalgebra.2023.02.020OpenAlexW4321793695WikidataQ123271603 ScholiaQ123271603MaRDI QIDQ2694741

Yatin Patel, Joey Beauvais-Feisthauer, Andrew Salch

Publication date: 4 April 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.10774

zbMATH Keywords

Lie algebrasbialgebrasDyer-Lashof algebraMilnor-Moore theorem

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17Bxx) Associative rings and algebras with additional structure (16Wxx) Operations and obstructions in algebraic topology (55Sxx)

Related Items (1)

Stable homotopy groups of spheres: from dimension 0 to 90

Cites Work

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• A Milnor-Moore type theorem for primitively generated braided bialgebras.
• Milnor-Moore categories and monadic decomposition
• On the classification of finite-dimensional pointed Hopf algebras.
• \(H_{\infty}\) ring spectra and their applications
• On homomorphisms of cocommutative coalgebras and Hopf algebras
• Reflexivity and coalgebras of finite type
• The homology of iterated loop spaces
• A spectral sequence for the homology of an infinite delooping
• Finite quantum groups and Cartan matrices
• On antipodes in pointed Hopf algebras
• Eulerian idempotents and Milnor-Moore theorem for certain non-cocommutative Hopf algebras
• André-Quillen cohomology of commutative \(S\)-algebras
• The cohomology of restricted Lie algebras and of Hopf algebras
• On the structure of Hopf algebras
• A Milnor–Moore theorem for dendriform Hopf algebras
• The cohomology of the Dyer-Lashof algebra
• On Bialgebras Which are Simple Hopf Modules
• A TORSION-FREE MILNOR–MOORE THEOREM
• The cohomology of restricted Lie algebras and of Hopf algebras
• Koszul Resolutions
• Homotopy theoretic methods in group cohomology
• A Cartier-Milnor-Moore-Quillen theorem for the dendriform bigebras and the brace algebras

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