49 citations · 90 across the 16 of their papers we have counts for
18 papers
Local geometry of special pieces of nilpotent orbits
Baohua Fu, Daniel Juteau, Paul Levy +1
The nilpotent cone of a simple Lie algebra is partitioned into locally closed subvarieties called special pieces, each containing exactly one special orbit. Lusztig conjectured tha…
Perverse sheaves, nilpotent Hessenberg varieties, and the modular law
Martha Precup, Eric Sommers
We consider generalizations of the Springer resolution of the nilpotent cone of a simple Lie algebra by replacing the cotangent bundle with certain other vector bundles over the fl…
A new family of isolated symplectic singularities with trivial local fundamental group
Gwyn Bellamy, Cédric Bonnafé, Baohua Fu +3
We construct a new infinite family of 4-dimensional isolated symplectic singularities with trivial local fundamental group, answering a question of Beauville raised in 2000. Three…
A transitivity result for ad-nilpotent ideals in type A
Molly Fenn, Eric Sommers
The paper considers subspaces of the strictly upper triangular matrices, which are stable under Lie bracket with any upper triangular matrix. These subspaces are called ad-nilpoten…
Invariant theory for coincidental complex reflection groups
Victor Reiner, Anne V. Shepler, Eric Sommers
V.F. Molchanov considered the Hilbert series for the space of invariant skew-symmetric tensors and dual tensors with polynomial coefficients under the action of a real reflection g…
Equations for some nilpotent varieties
Ben Johnson, Eric Sommers
Let be a Richardson nilpotent orbit in a simple Lie algebra over , induced from a Levi subalgebra whose simple roots are orthogonal short ro…