On differential invariants of actions of semisimple Lie groups

DOI10.1016/j.geomphys.2014.05.018zbMath1298.22011OpenAlexW2068374738WikidataQ115353138 ScholiaQ115353138MaRDI QIDQ741111

Valentin V. Lychagin, P. V. Bibikov

Publication date: 10 September 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2014.05.018

zbMATH Keywords

semisimple Lie groupinvariant connectionjet spacedifferential invariantreductive homogeneous bundle

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Holomorphic bundles and generalizations (32L05) Differential invariants (local theory), geometric objects (53A55)

Related Items (6)

Differential contra algebraic invariants: applications to classical algebraic problems ⋮ Unnamed Item ⋮ Classification of certain class of ordinary differential equations of the first order ⋮ On the Lie problem in PDEs and effective classification of the differential equations with algebraic coefficients ⋮ Invariants of algebraic group actions from differential point of view ⋮ Projective classification of rational \(\mathbb{C}\mathbf{P}^1 \)-mappings

Cites Work

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• Classification of linear actions of algebraic groups on spaces of homogeneous forms
• \(\mathrm{GL}_2(\mathbb C)\)-orbits of binary rational forms
• Global Lie-Tresse theorem
• Homogeneous vector bundles
• Some Basic Theorems on Algebraic Groups
• On Invariant Connections over a Principal Fibre Bundle
• INVARIANTS OF PSEUDOGROUP ACTIONS: HOMOLOGICAL METHODS AND FINITENESS THEOREM
• Invariant Affine Connections on Homogeneous Spaces

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