Classification of the ring of Witt vectors and the necklace ring associated with the formal group law \(X+Y - qXY\)

DOI10.1016/j.jalgebra.2006.08.015zbMath1116.13024OpenAlexW2067639733MaRDI QIDQ876355

Young-Tak Oh

Publication date: 18 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.08.015

zbMATH Keywords

Witt vectorsformal group lawcyclotomic identitynecklace polynomialnecklace ring

Mathematics Subject Classification ID

Related Items (4)

\(q\)-deformations of statistical mechanical systems and motives over finite fields ⋮ \(q\)-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

• The Burnside ring of the infinite cyclic group and its relations to the necklace algebra, \(\lambda\)-rings, and the universal ring of Witt vectors
• Witt vectors and the algebra of necklaces
• Formal group-theoretic generalizations of the necklace algebra, including a \(q\)-deformation
• \(q\)-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(∞)
• Unnamed Item

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