Classification of linear actions of algebraic groups on spaces of homogeneous forms

DOI10.1134/S1064562412010383zbMath1242.53013OpenAlexW2130075047MaRDI QIDQ416952

P. V. Bibikov, Valentin V. Lychagin

Publication date: 10 May 2012

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

Full work available at URL: https://doi.org/10.1134/s1064562412010383

zbMATH Keywords

differential invariantorbits of an algebraic grouprational forms

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Jets in global analysis (58A20) Differential invariants (local theory), geometric objects (53A55)

Related Items (9)

Differential contra algebraic invariants: applications to classical algebraic problems ⋮ Classification of rational functions in symplectic and metric spaces ⋮ Unnamed Item ⋮ Classification of certain class of ordinary differential equations of the first order ⋮ Invariants of algebraic group actions from differential point of view ⋮ Classification of second order linear ordinary differential equations with rational coefficients ⋮ On symplectization of 1-jet space and differential invariants of point pseudogroup ⋮ On differential invariants of actions of semisimple Lie groups ⋮ On structure of linear differential operators, acting on line bundles

Cites Work

• \(\text{GL}_{2}(\mathbb C)\)-orbits of binary forms
• \(GL_{3}(\mathbb C)\)-orbits of ternary rational forms
• Some Basic Theorems on Algebraic Groups
• INVARIANTS OF PSEUDOGROUP ACTIONS: HOMOLOGICAL METHODS AND FINITENESS THEOREM

This page was built for publication: Classification of linear actions of algebraic groups on spaces of homogeneous forms