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Lie powers and Witt vectors

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Publication:1024809
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DOI10.1007/s10801-007-0117-9zbMath1198.17004OpenAlexW2095593821MaRDI QIDQ1024809

Marianne Johnson, Roger M. Bryant

Publication date: 17 June 2009

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-007-0117-9


zbMATH Keywords

free Lie algebras


Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Identities, free Lie (super)algebras (17B01) Infinite-dimensional Lie (super)algebras (17B65) Witt vectors and related rings (13F35)


Related Items (3)

A modular version of Klyachko's theorem on Lie representations of the general linear group ⋮ Module structure on Lie powers and natural coalgebra-split sub-Hopf algebras of tensor algebras ⋮ The Complexity of the Lie Module



Cites Work

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  • Lambda and psi operations on Green rings
  • Factorisation of Lie resolvents
  • Polynomial representations of \(GL_n\)
  • Tilting modules, symmetric functions, and the module structure of the free Lie algebra
  • Cohomology of finite group schemes over a field
  • FREE LIE ALGEBRAS AND ADAMS OPERATIONS
  • THE DECOMPOSITION OF LIE POWERS


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