Complexity and rank of actions in invariant theory

DOI10.1007/BF02169155zbMath0996.14022MaRDI QIDQ1807492

Dmitri I. Panyushev

Publication date: 22 November 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

complexitygeometric invariant theoryPoincaré seriesranksimple Lie algebraminimal codimensionconnected reductive groupmaximal unipotent subgroupactions on affine varieties

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (10)

Computation of weight lattices of \(G\)-varieties ⋮ Invariants of the Cox rings of double flag varieties of low complexity for exceptional groups ⋮ Unnamed Item ⋮ Computation of Weyl groups of 𝐺-varieties ⋮ Invariants of the Cox rings of low-complexity double flag varieties for classical groups ⋮ The cross-section of a spherical double cone ⋮ An Application of Spherical Geometry to Hyperkähler Slices ⋮ Complexity of nilpotent orbits and the Kostant-Sekiguchi correspondence ⋮ Compatible Poisson brackets associated with 2‐splittings and Poisson commutative subalgebras of S(g) ⋮ Classification of double flag varieties of complexity 0 and 1

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