417 citations · 2.1k across the 83 of their papers we have counts for
8 papers · 1 filter
Howe duality and dynamical Weyl group
Rea Dalipi, Giovanni Felder
We give a fermionic formula for -matrices of exterior powers of the vector representations of and relate it to the dynamical Weyl group of Tara…
Quantum Groups for Restricted SOS Models
Giovanni Felder, Muze Ren
We introduce the notion of restricted dynamical quantum groups through their category of representations, which are monoidal categories with a forgetful functor to the category of…
Elliptic Dynamical Quantum Groups and Equivariant Elliptic Cohomology
Giovanni Felder, Richárd Rimányi, Alexander Varchenko
We define an elliptic version of the stable envelope of Maulik and Okounkov for the equivariant elliptic cohomology of cotangent bundles of Grassmannians. It is a version of the co…
Chern-Simons forms and higher character maps of Lie representations
Yuri Berest, Giovanni Felder, Sasha Patotski +2
This paper is a sequel to our earlier work [BFPRW], where we study the derived representation scheme DRep_{g}(A) parametrizing the representations of a Lie algebra A in a finite-di…
Representation Homology, Lie Algebra Cohomology and Derived Harish-Chandra Homomorphism
Yuri Berest, Giovanni Felder, Sasha Patotski +2
We study the derived representation scheme DRep_n(A) parametrizing the n-dimensional representations of an associative algebra A over a field of characteristic zero. We show that t…
Polynomial solutions of the Knizhnik-Zamolodchikov equations and Schur-Weyl duality
Giovanni Felder, Alexander P. Veselov
An integral formula for the solutions of Knizhnik-Zamolodchikov (KZ) equation with values in an arbitrary irreducible representation of the symmetric group S_N is presented for int…
Poincare-Birkhoff-Witt expansions of the canonical elliptic differential form
G. Felder, R. Rimanyi, A. Varchenko
We study the canonical U(\n)-valued elliptic differential form, whose projections to different Kac-Moody algebras are key ingredients of the hypergeometric integral solutions of el…
Coxeter group actions on the complement of hyperplanes and special involutions
Giovanni Felder, Alexander P. Veselov
We consider both standard and twisted action of a (real) Coxeter group G on the complement M_G to the complexified reflection hyperplanes by combining the reflections with complex…