Solvable groups, free divisors and nonisolated matrix singularities. I: Towers of free divisors

DOI10.5802/aif.2956zbMath1371.14056arXiv1201.1577OpenAlexW2963478061MaRDI QIDQ746907

Brian Pike, James Damon

Publication date: 21 October 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.1577

zbMATH Keywords

prehomogeneous vector spacesdeterminantal varietiesPfaffian varietiessolvable algebraic groupsfree divisorslinear free divisorsblock representationsexceptional orbit varietiesCholesky-type factorizationsinfinite-dimensional solvable Lie algebras

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Lie algebras of vector fields and related (super) algebras (17B66) Classical groups (algebro-geometric aspects) (14L35) Prehomogeneous vector spaces (11S90)

Related Items (7)

Finite determinacy of matrices over local rings. tangent modules to the miniversal deformation for \(R\)-linear group actions ⋮ Lifting free divisors ⋮ Combinatorially determined zeroes of Bernstein--Sato ideals for tame and free arrangements ⋮ Solvable group representations and free divisors whose complements are \(K(\pi,1)\)'s ⋮ Topology of exceptional orbit hypersurfaces of prehomogeneous spaces ⋮ Vanishing cycles of matrix singularities ⋮ Equisingularity and EIDS

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