4 papers
Quasi-Coxeter algebras, Dynkin diagram cohomology and quantum Weyl groups
V. Toledano-Laredo
The author, and independently De Concini, conjectured that the monodromy of the Casimir connection of a simple Lie algebra g is described by the quantum Weyl group operators of the…
Cohomological construction of relative twists
V. Toledano-Laredo
Let g be a complex, semi-simple Lie algebra, h a Cartan subalgebra of g and D a subdiagram of the Dynkin diagram of g. Let g_D and l_D be the corresponding semi-simple and Levi sub…
Fusion of Positive Energy Representations of LSpin(2n)
V. Toledano-Laredo
Building upon the Jones-Wassermann program of studying Conformal Field Theory using operator algebraic tools, and the work of A. Wassermann on the loop group of LSU(n) (Invent. Mat…
Integrating Unitary Representations of Infinite-Dimensional Lie Groups
Valerio Toledano-Laredo
We show that in the presence of suitable commutator estimates, a projective unitary representation of the Lie algebra of a connected and simply connected Lie group G exponentiates…