Computing representatives of nilpotent orbits of \(\theta\)-groups

DOI10.1016/j.jsc.2010.10.015zbMath1222.17002arXiv0905.3149OpenAlexW2078634798MaRDI QIDQ629350

Willem A. De Graaf

Publication date: 9 March 2011

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.3149

zbMATH Keywords

algorithmsorbitsLie algebrasreductive algebraic groups

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Computational methods for problems pertaining to nonassociative rings and algebras (17-08) Coadjoint orbits; nilpotent varieties (17B08)

Related Items

Classification of four qubit states and their stabilisers under SLOCC operations, Classifying semisimple orbits of $\theta $-groups, Classification of four-rebit states, Fundamental invariants for the action of $SL_3(\mathbb {C}) \times SL_3(\mathbb {C}) \times SL_3(\mathbb {C})$ on $3 \times 3 \times 3$ arrays, Gradings of positive rank on simple Lie algebras, On Jordan classes for Vinberg's \(\theta\)-group, An effective method to compute closure ordering for nilpotent orbits of \(\theta \)-representations, Fourier coefficients of automorphic forms, character variety orbits, and small representations, Regular functions on spherical nilpotent orbits in complex symmetric pairs: exceptional cases, Regular subalgebras and nilpotent orbits of real graded Lie algebras, Orbit Closures of Linear Algebraic Groups

Uses Software

• GAP
• Magma
• CHEVIE
• SLA
• HNC

Cites Work

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