5 citations · 16 across the 6 of their papers we have counts for
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Twisted traces of intertwiners for Kac-Moody algebras and classical dynamical r-matrices corresponding to generalized Belavin-Drinfeld triples
Pavel Etingof, Olivier Schiffmann
In early eighties, Belavin and Drinfeld showed that nonskewsymmetric classical r-matrices for simple Lie algebras are classified by combinatorial objects which are now called Belav…
Lectures on the dynamical Yang-Baxter equations
Pavel Etingof, Olivier Schiffmann
This paper contains a systematic and elementary introduction to a new area of the theory of quantum groups -- the theory of the classical and quantum dynamical Yang-Baxter equation…
The Hall algebra of a cyclic quiver and canonical bases of the Fock space
Olivier Schiffmann
We prove that the Hall algebra U^-_n of the cyclic quiver of type A^(1)_{n-1} decomposes as a direct product of the quantum negative nilpotent subalgebra U_q^-(\hat{sl}_{n)) and C[…
Geometric construction of the global base of the quantum modified algebra of affine GL_N
O. Schiffmann, E. Vasserot
We prove that the global base of the modified quantum algebra of affine GL_N is compatible with the intersection cohomology base of the convolution algebra of the affine flag varie…