Foundations of Lie theory for -structures and some of its applications

DOI10.1070/IM9115MaRDI QIDQ5078309

V. V. Gorbatsevich

Publication date: 23 May 2022

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lie theorydual numbersapproximate symmetries of differential equationsHjelmslev's natural geometryLie theorems

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Structure theory for Lie algebras and superalgebras (17B05) Invariance and symmetry properties for PDEs on manifolds (58J70) General properties and structure of real Lie groups (22E15)

Cites Work

• Tensor products of algebras and their applications to the construction of Anosov diffeomorphisms
• Perturbation methods in group analysis
• Foundations of the theory of dual Lie algebras
• The extensibility of local Lie groups of transformations and groups on surfaces
• Dual and almost-dual homogeneous spaces
• The construction of a simply connected Lie group with a given Lie algebra
• APPROXIMATE SYMMETRIES
• On geometry of solutions to approximate equations and their symmetries
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