2 citations · 5 across the 6 of their papers we have counts for
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Lusztig's special pieces conjecture
Daniel Juteau, Paul Levy, Eric Sommers +1
Let be a special nilpotent orbit in the Lie algebra of a simple algebraic group . We give two proofs of the result that every special piece ${\mathcal…
Minimal special degenerations and duality
Daniel Juteau, Paul Levy, Eric Sommers
This paper includes the classification, in a simple Lie algebra, of the singularities of Slodowy slices between special nilpotent orbits that are adjacent in the partial order on n…
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…
Commuting Varieties and Cohomological Complexity
Nham V. Ngo, Paul D. Levy, Klemen Šivic
In this paper we determine, for all sufficiently large, the irreducible component(s) of maximal dimension of the variety of commuting -tuples of nilpotent elements of $\math…