Nested Witt vectors and their \(q\)-deformation

DOI10.1016/j.jalgebra.2006.09.026zbMath1119.13018OpenAlexW2018596938MaRDI QIDQ875113

Young-Tak Oh

Publication date: 11 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.09.026

zbMATH Keywords

Witt vectorsnecklace ringMöbius inversion function

Mathematics Subject Classification ID

Related Items (6)

Decomposition of the Witt-Burnside ring and Burnside ring of an abelian profinite group ⋮ \(q\)-deformations of statistical mechanical systems and motives over finite fields ⋮ The universal deformation of the Witt ring scheme ⋮ \(q\)-analog of the Möbius function and the cyclotomic identity associated to a profinite group. ⋮ \(q\)-deformed necklace rings and \(q\)-Möbius function ⋮ Witt vectors. Part 1

Cites Work

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• 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
• A class of residue systems \(\pmod r\) and related arithmetical functions. I: A generalization of Möbius inversion. II: Higher dimensional analogues
• Witt vectors and the algebra of necklaces
• Formal group-theoretic generalizations of the necklace algebra, including a \(q\)-deformation
• A functorial property of nested Witt vectors
• \(q\)-deformation of Witt-Burnside rings
• Necklace rings and logarithmic functions
• Generalized Burnside--Grothendieck ring functor and aperiodic ring functor associated with profinite groups
• Lambda-rings, binomial domains, and vector bundles over cp(∞)

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