Module structure on Lie powers and natural coalgebra-split sub-Hopf algebras of tensor algebras

DOI10.1017/S0013091510000015zbMath1243.16038arXiv1002.0434OpenAlexW2964270605MaRDI QIDQ3006329

Jingyan Li, Jie Wu, Feng Chun Lei

Publication date: 10 June 2011

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0434

zbMATH Keywords

tensor algebrasgeneral linear groupscoalgebrasLie powersnatural coalgebra decompositionssub-Hopf algebras

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Identities, free Lie (super)algebras (17B01) Loop spaces (55P35) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Homotopy functors in algebraic topology (55P65) Coalgebras and comodules; corings (16T15)

Related Items

The functor \(A^{\text{min}}\) for \((p-1)\)-cell complexes and EHP sequences, A simplicial James-Hopf map and decompositions of the unstable Adams spectral sequence for suspensions, Decompositions of looped co-𝐻-spaces

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