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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.RT2024
Constructible representations and Catalan numbers
George Lusztig, Eric Sommers
We establish a connection between constructible representations (arising in the study of left cells in Weyl groups) and Catalan numbers.
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…