Computing with Nilpotent Orbits in Simple Lie Algebras of Exceptional Type
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Publication:3091966
DOI10.1112/S1461157000000607zbMath1222.17003arXivmath/0702193MaRDI QIDQ3091966
Publication date: 15 September 2011
Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0702193
Exceptional (super)algebras (17B25) Computational methods for problems pertaining to nonassociative rings and algebras (17-08) Coadjoint orbits; nilpotent varieties (17B08)
Related Items (15)
Jordan-Kronecker invariants of finite-dimensional Lie algebras ⋮ Complete families of commuting functions for coisotropic Hamiltonian actions ⋮ Surprising properties of centralisers in classical Lie algebras ⋮ Generic singularities of nilpotent orbit closures ⋮ Good index behaviour of \(\theta \)-representations. I ⋮ Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties ⋮ Slices for biparabolics of index 1 ⋮ Polynomiality of invariants, unimodularity and adapted pairs ⋮ Computing representatives of nilpotent orbits of \(\theta\)-groups ⋮ The symmetric invariants of centralizers and Slodowy grading ⋮ On \(\mathbb Q\)-factorial terminalizations of nilpotent orbits ⋮ The Restricted Ermolaev Algebra and F4 ⋮ Compatible adapted pairs and a common slice theorem for some centralizers ⋮ Computing nilpotent and unipotent canonical forms: a symmetric approach ⋮ Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras
Uses Software
Cites Work
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- A counterexample to a problem on commuting matrices
- On symmetric invariants of centralisers in reductive Lie algebras
- The index of centralizers of elements in classical Lie algebras
- The index of a Lie algebra, the centralizer of a nilpotent element, and the normalizer of the centralizer
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