\(R\)-analogue of the Burnside ring of profinite groups and free Lie algebras

DOI10.1016/j.aim.2003.10.004zbMath1105.19001OpenAlexW2028889053WikidataQ115362152 ScholiaQ115362152MaRDI QIDQ703797

Young-Tak Oh

Publication date: 11 January 2005

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2003.10.004

zbMATH Keywords

free Lie algebraBurnside ringSpecial \(\lambda\)-ring

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Algebraic combinatorics (05E99) Graded Lie (super)algebras (17B70) Frobenius induction, Burnside and representation rings (19A22) Grothendieck groups (category-theoretic aspects) (18F30) Formal power series rings (13F25)

Related Items (8)

Decomposition of the Witt-Burnside ring and Burnside ring of an abelian profinite group ⋮ \(q\)-deformation of Witt-Burnside rings ⋮ Group-theoretical generalization of necklace polynomials ⋮ \(q\)-analog of the Möbius function and the cyclotomic identity associated to a profinite group. ⋮ Witt-Burnside ring and Burnside ring over a special \(\lambda \)-ring ⋮ Witt vectors. Part 1 ⋮ Necklace rings and logarithmic functions ⋮ Generalized Burnside--Grothendieck ring functor and aperiodic ring functor associated with profinite groups

Cites Work

• Witt vectors and Tambara functors
• The Burnside ring of the infinite cyclic group and its relations to the necklace algebra, \(\lambda\)-rings, and the universal ring of Witt vectors
• The Burnside ring of profinite groups and the Witt vector construction
• \(\lambda\)-rings and the representation theory of the symmetric group
• Witt vectors and the algebra of necklaces
• \(\lambda\)-Ringstrukturen auf dem Burnsidering der Permutationsdarstellungen einer endlichen Gruppe
• Cohomology of modules in the principal block of a finite group
• Free Lie algebras and formal power series
• Group representations, \(\lambda\)-rings and the \(J\)-homomorphism
• Graded Lie Superalgebras, Supertrace Formula, and Orbit Lie Superalgebras
• Free Lie algebra and lambda-ring structure

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