On compatible potential deformations of Frobenius algebras and associativity equations

DOI10.1070/rm1998v053n02ABEH000040zbMath0997.16500MaRDI QIDQ4244600

Oleg I. Mokhov

Publication date: 29 June 1999

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

associativity equationsdeformations of Frobenius algebras

Mathematics Subject Classification ID

Quasi-Frobenius rings (16L60) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Deformations of associative rings (16S80)

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On the solutions to the Witten-Dijkgraaf-Verlinde-Verlinde associativity equations and their algebraic properties ⋮ Realization of Frobenius manifolds as submanifolds in pseudo-Euclidean spaces ⋮ Pencils of compatible metrics and integrable systems ⋮ About the solutions to the Witten–Dijkgraaf– Verlinde–Verlinde associativity equations and their Lie-algebraic and geometric properties ⋮ On a special class of compatible Poisson structures of hydrodynamic type ⋮ Degenerate bi-Hamiltonian structures of hydrodynamic type

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