Some Properties of Orbital Varieties in Extremal Nilpotent Orbits

DOI10.1007/978-3-030-23531-4_7zbMath1436.17017OpenAlexW2981021130MaRDI QIDQ3296298

Lucas Fresse

Publication date: 7 July 2020

Published in: Representations and Nilpotent Orbits of Lie Algebraic Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-23531-4_7

Mathematics Subject Classification ID

Lie algebras of linear algebraic groups (17B45) Root systems (17B22) Coadjoint orbits; nilpotent varieties (17B08) Compactifications; symmetric and spherical varieties (14M27)

Cites Work

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• Upper triangular parts of conjugacy classes of nilpotent matrices with finite number of \(B\)-orbits
• On the variety of a highest weight module
• Complexity of action of reductive groups
• Quelques propriétés des espaces homogènes sphériques. (Some properties of spherical homogeneous spaces)
• On the fixed point set of a unipotent element on the variety of Borel subgroups
• On the desingularization of the unipotent variety
• The minimal realization from deformation theory
• Singularities of closures of \(B\)-conjugacy classes of nilpotent elements of height 2
• Richardson elements for classical Lie algebras
• Dimension of a minimal nilpotent orbit
• Orbital varieties of the minimal orbit
• Smooth Orbital Varieties and Orbital Varieties with a Dense B-Orbit
• Linear algebraic groups.

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