386 citations · 1.8k across the 45 of their papers we have counts for
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math.QA2014★ 13 cited
Vertex Lie algebras and cyclotomic coinvariants
Benoit Vicedo, Charles A. S. Young
Given a vertex Lie algebra equipped with an action by automorphisms of a cyclic group , we define spaces of cyclotomic coinvariants over the Riemann sphere. These a…
math.QA2014★ 14 cited
Cyclotomic Gaudin models: construction and Bethe ansatz
Benoit Vicedo, Charles A. S. Young
To any simple Lie algebra and automorphism we associate a cyclotomic Gaudin algebra. This is a large commutative subalgebra of $U(\math…
math.QA2014★ 21 cited
Gaudin models for gl(m|n)
Evgeny Mukhin, Benoit Vicedo, Charles A. S. Young
We establish the basics of the Bethe ansatz for the Gaudin model associated to the Lie superalgebra gl(m|n). In particular, we prove the completeness of the Bethe ansatz in the cas…