Formal group-theoretic generalizations of the necklace algebra, including a \(q\)-deformation

DOI10.1006/jabr.1997.7203zbMath0915.05011OpenAlexW2083112633MaRDI QIDQ1378454

Cristian Lenart

Publication date: 17 March 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7203

zbMATH Keywords

Frobenius operatorsformal group lawscyclotomic identitynecklace algebraring of Witt vectorsisomorphic ring structuresnecklace polynomials

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Algebraic combinatorics (05E99) Enumerative combinatorics (05A99) Formal groups, (p)-divisible groups (14L05)

Related Items (10)

\(q\)-deformation of Witt-Burnside rings ⋮ Nested Witt vectors and their \(q\)-deformation ⋮ Classification of the ring of Witt vectors and the necklace ring associated with the formal group law \(X+Y - qXY\) ⋮ Group-theoretical generalization of necklace polynomials ⋮ The universal deformation of the Witt ring scheme ⋮ \(q\)-deformed necklace rings and \(q\)-Möbius function ⋮ The formal series Witt transform ⋮ Witt vectors. Part 1 ⋮ Necklace rings and logarithmic functions ⋮ Generalized Burnside--Grothendieck ring functor and aperiodic ring functor associated with profinite groups

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
• The Burnside ring of profinite groups and the Witt vector construction
• Witt vectors and the algebra of necklaces
• Symmetric functions, formal group laws, and Lazard's theorem
• Aperiodic rings, necklace rings, and Witt vectors
• Characteristic Classes. (AM-76)
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