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math.RT2026
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…
math.RT2023
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…