139 citations
- University of California, DavisUS9 papers
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- Max Planck Institute for the Physics of Complex SystemsDE2 papers
- Technische Universität DresdenDE2 papers
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5 papers · 1 filter
Semiclassical Limits of Quantum Affine Spaces
K. R. Goodearl, E. S. Letzter
Semiclassical limits of generic multiparameter quantized coordinate rings A = O_q(k^n) of affine spaces are constructed and related to A, for k an algebraically closed field of cha…
Weyl modules and opers without monodromy
Edward Frenkel, Dennis Gaitsgory
We prove that the algebra of endomorphisms of a Weyl module of critical level is isomorphic to the algebra of functions on the space of monodromy-free opers on the disc with regula…
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…
Homological realization of Nakajima varieties and Weyl group actions
Igor Frenkel, Mikhail Khovanov, Olivier Schiffmann
We describe points on Nakajima varieties and Weyl group actions on them via complexes of semisimple and projective modules over certain finite-dimensional algebras.