Hereditary automorphic Lie algebras

DOI10.1142/S0219199719500767zbMath1484.17007arXiv1511.06327OpenAlexW3098436033WikidataQ127083673 ScholiaQ127083673MaRDI QIDQ5120340

Vincent Knibbeler, Sara Lombardo, Jan A. Sanders

Publication date: 10 September 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06327

zbMATH Keywords

automorphic Lie algebrasrational equivariant vectors

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Structure theory for Lie algebras and superalgebras (17B05) Infinite-dimensional Lie (super)algebras (17B65) Actions of groups on commutative rings; invariant theory (13A50) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items

Wild local structures of automorphic Lie algebras ⋮ Polyhedral groups in

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lie-admissible structures on Witt type algebras
• On the classification of automorphic Lie algebras
• Singularities and groups in bifurcation theory. Volume I
• Poincaré series of binary polyhedral groups and McKay's correspondence
• Singularities and groups in bifurcation theory. Volume II
• Rational maps, monopoles and skyrmions
• The symmetry perspective. From equilibrium to chaos in phase space and physical space
• Homomorphisms of the alternating group \({\mathcal A}_5\) into reductive groups.
• Computer algebra methods for equivariant dynamical systems
• Automorphisms of finite order of semisimple Lie algebras
• Higher-dimensional automorphic Lie algebras
• Sur les constantes de structure et le théorème d'existence des algèbres de Lie semi-simples
• Reduction groups and automorphic Lie algebras
• Automorphic Lie algebras with dihedral symmetry
• Invariants, equivariants and characters in symmetric bifurcation theory
• Hopf bifurcation withS_N-symmetry
• Invariants of finite groups and their applications to combinatorics
• Reductions of integrable equations: dihedral group
• Topological Solitons
• Automorphic Lie Algebras and Cohomology of Root Systems
• Irreducible finite-dimensional representations of equivariant map algebras
• Introduction to Lie Algebras and Representation Theory
• Finite Möbius groups, minimal immersions of spheres, and moduli