Periodic Algebras Generated by Groups

DOI10.1142/S1005386715000462zbMath1336.17001arXiv1111.3760OpenAlexW1858163298MaRDI QIDQ3459169

Utkir A. Rozikov, Sergio A. Albeverio, Bakhrom A. Omirov

Publication date: 21 December 2015

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

Full work available at URL: https://arxiv.org/abs/1111.3760

zbMATH Keywords

groupLeibniz algebraperiodic algebra

Mathematics Subject Classification ID

Group rings (16S34) Leibniz algebras (17A32)

Cites Work

• Filtrations and distortion in infinite-dimensional algebras.
• Description of periodic \(p\)-harmonic functions on Cayley tree
• Partition structures of the group representation of the Cayley tree into cosets by finite-index normal subgroups and their applications to the description of periodic Gibbs distributions
• Some infinite-dimensional algebras arising in spin systems and in particle physics and their grand algebra
• Construction of an uncountable number of limiting Gibbs measures in the inhomogeneous Ising model
• Two classes of central simple \(n\)-Lie algebras
• SOME OPEN PROBLEMS IN THE THEORY OF INFINITE DIMENSIONAL ALGEBRAS
• Varieties of Nilpotent Complex Leibniz Algebras of Dimension Less than Five

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