Differential Invariants in Algebra

DOI10.1007/978-3-031-25666-0_1arXiv2104.02376OpenAlexW3145024926MaRDI QIDQ6151327

Valentin V. Lychagin, Unnamed Author

Publication date: 9 February 2024

Published in: Groups, Invariants, Integrals, and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.02376

Mathematics Subject Classification ID

Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Differential invariants (local theory), geometric objects (53A55)

Cites Work

• Differential contra algebraic invariants: applications to classical algebraic problems
• Projective classification of binary and ternary forms
• Global Lie-Tresse theorem
• Invariants in relativity theory
• Geodesic webs on a two-dimensional manifold and Euler equations
• Minimum number of fundamental invariants for the binary form of degree 7
• Shock waves in Euler flows of gases
• Solutions of second-order PDEs with first-order quotients
• On equivalence of third order linear differential operators on two-dimensional manifolds
• Some Basic Theorems on Algebraic Groups
• Symmetries and Integrals
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