53 citations · 84 across the 9 of their papers we have counts for
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Gaudin model and opers
Edward Frenkel
This is a review of our previous works (some of them joint with B. Feigin and N. Reshetikhin) on the Gaudin model and opers. We define a commutative subalgebra in the tensor power…
Self-extensions of Verma modules and differential forms on opers
Edward Frenkel, Constantin Teleman
We compute the algebras of self-extensions of the vacuum module and the Verma modules over an affine Kac-Moody algebra g^ in suitable categories of Harish-Chandra modules. We show…
Opers on the projective line, flag manifolds and Bethe Ansatz
Edward Frenkel
We consider the problem of diagonalization of the hamiltonians of the Gaudin model, which is a quantum chain model associated to a simple Lie algebra. The hamiltonians of this mode…
Affine Kac-Moody algebras, integrable systems and their deformations
Edward Frenkel
This is the text of the Hermann Weyl Prize lecture given by the author at the XXIV Colloquium on Group Theoretical Methods in Physics, Paris, July 2002 (to appear in the Proceeding…
Lectures on Wakimoto modules, opers and the center at the critical level
Edward Frenkel
Wakimoto modules are representations of affine Kac-Moody algebras in Fock modules over infinite-dimensional Heisenberg algebras. In these lectures we present the construction of th…
The Hopf algebra
Edward Frenkel, Evgeny Mukhin
We define the Hopf algebra structure on the Grothendieck group of finite-dimensional polynomial representations of in the limit . The resulting Hopf…