Closures of conjugacy classes in \(G_2\)

DOI10.1016/0021-8693(89)90313-XzbMath0693.17004MaRDI QIDQ584366

Hanspeter Kraft

Publication date: 1989

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Borel subalgebrasimple Lie algebramaximal torusnilpotent conjugacy class

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Group actions on varieties or schemes (quotients) (14L30) Lie algebras of linear algebraic groups (17B45)

Related Items

Sheets in symmetric Lie algebras and slice induction, On the coordinate ring of spherical conjugacy classes., Generic singularities of nilpotent orbit closures, Geometric Satake, Springer correspondence and small representations, Simple modules of classical linear groups with normal closures of maximal torus orbits., On the irreducibility of associated varieties of \(W\)-algebras, Normality of nilpotent varieties in \(E_{6}\)., On the singularities of nilpotent orbits, A characterization of nilpotent orbit closures among symplectic singularities, Real structures on nilpotent orbit closures, On \(\mathbb Q\)-factorial terminalizations of nilpotent orbits, Normal nilpotent varieties in \(F_4\), Normality of orbit closures in the enhanced nilpotent cone, On quantization of a nilpotent orbit closure in $G_2$, Orbital degeneracy loci and applications, Line bundles on the cotangent bundle of the flag variety

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Green functions of finite Chevalley groups of type \(E_ n (n=6,7,8)\)
• Singularités rationnelles et quotients par les groupes réductifs. (Rational singularities and quotients by reductive groups)
• Primitive ideals and nilpotent orbits in type \(G_ 2\)
• Closures of conjugacy classes of matrices are normal
• Simple singularities and simple algebraic groups
• Minimal singularities in \(GL_ n\).
• Über Schichten halbeinfacher Lie-Algebren
• Cohomology and the resolution of the nilpotent variety
• On the collapsing of homogeneous bundles
• Parametrisierung von Konjugationsklassen in \(\mathfrak {sl}_n\)
• Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen
• The normality of closures of orbits in a Lie algebra
• On the geometry of conjugacy classes in classical groups
• On the green polynomials of a chevalley group of type f₄
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Classes of unipotent elements in simple algebraic groups. II
• Lie Group Representations on Polynomial Rings
• ON A CLASS OF QUASIHOMOGENEOUS AFFINE VARIETIES