On the moment map for the variety of Lie algebras.

DOI10.1016/S0022-1236(02)00108-8zbMath1036.17010arXivmath/0206046OpenAlexW2060069110MaRDI QIDQ1403854

Jorge Lauret

Publication date: 4 September 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206046

zbMATH Keywords

categorical quotientdegenerationclosed orbitmoment mapvariety of Lie algebras

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Momentum maps; symplectic reduction (53D20) Solvable, nilpotent (super)algebras (17B30)

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Immortal homogeneous Ricci flows ⋮ The moment map for the variety of 3-Lie algebras ⋮ The geometry of filiform nilpotent Lie groups ⋮ Einstein solvmanifolds are standard ⋮ Hermitian curvature flow on unimodular Lie groups and static invariant metrics ⋮ Classification of nilsoliton metrics in dimension seven ⋮ Einstein solvmanifolds and the pre-Einstein derivation ⋮ Distinguished orbits of reductive groups ⋮ Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups ⋮ Lie Algebra Theory without Algebra ⋮ A canonical compatible metric for geometric structures on nilmanifolds ⋮ The Kempf-Ness theorem and invariant theory for real reductive representations ⋮ Convexity properties of gradient maps associated to real reductive representations

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