12 citations · 24 across the 7 of their papers we have counts for
5 papers · 1 filter
Local geometry of Jordan classes in semisimple algebraic groups
Filippo Ambrosio, Giovanna Carnovale, Francesco Esposito
We prove that the closure of every Jordan class J in a semisimple simply connected complex group G at a point x with Jordan decomposition x = rv is smoothly equivalent to the union…
Affine hyperplane arrangements and Jordan classes
Giovanna Carnovale, Francesco Esposito
We study the geometry of the stratification induced by an affine hyperplane arrangement H on the quotient of a complex affine space by the action of a discrete group preserving H.…
Quotients for sheets of conjugacy classes
Giovanna Carnovale, Francesco Esposito
We provide a description of the orbit space of a sheet S for the conjugation action of a complex simple simply connected algebraic group G. This is obtained by means of a bijection…
Parabolic orbits of -nilpotent elements for classical groups
Magdalena Boos, Giovanni Cerulli Irelli, Francesco Esposito
We consider the conjugation-action of the Borel subgroup of the symplectic or the orthogonal group on the variety of nilpotent complex elements of nilpotency degree in its Lie…
On sheets of conjugacy classes in good characteristic
Giovanna Carnovale, Francesco Esposito
We show that the sheets for a connected reductive algebraic group G over an algebraically closed field in good characteristic acting on itself by conjugation are in bijection with…