733 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Indiana University – Purdue University IndianapolisUS64 papers
- Indiana University School of Medicine11 papers
- Purdue University West LafayetteUS5 papers
- Harvard UniversityUS4 papers
- Johns Hopkins UniversityUS4 papers
- Steklov Mathematical InstituteRU4 papers
- University of Illinois Urbana-ChampaignUS4 papers
- Argonne National LaboratoryUS3 papers
- Indiana UniversityUS3 papers
- St. Petersburg Department of Steklov Institute of MathematicsRU3 papers
- University of Maryland, College ParkUS3 papers
- University of Massachusetts AmherstUS3 papers
7 papers · 1 filter
Intertwiners of representations of twisted quantum affine algebras
Keshav Dahiya, Evgeny Mukhin
We use the -characters to compute explicit expressions of the -matrices for first fundamental representations of all types of twisted quantum affine algebras.
Intertwiners of representations of untwisted quantum affine algebras and Yangians revisited
Keshav Dahiya, Evgeny Mukhin
We discuss applications of the -characters to the computation of the -matrices. In particular, we describe the -matrix acting in the tensor square of the first fundamental…
On Conjectures of A. Eremenko and A. Gabrielov
E. Mukhin, V. Tarasov
We study polynomials p(x) satisfying a differential equation of the form p"(x)-h'(x)p'(x)+H(x)p(x)=0, where h(x)=x^3/3+ax. We prove a conjecture of A. Eremenko and A. Gabrielov.
Extended T-systems
E. Mukhin, C. A. S. Young
We use the theory of q-characters to establish a number of short exact sequences in the category of finite-dimensional representations of the quantum affine groups of types A and B…
Path description of type B q-characters
E. Mukhin, C. A. S. Young
We give a set of sufficient conditions for a Laurent polynomial to be the q-character of a finite-dimensional irreducible representation of a quantum affine group. We use this resu…
Equivariant quantization of Poisson homogeneous spaces and Kostant's problem
E. Karolinsky, A. Stolin, V. Tarasov
Let be a finite dimensional split semisimple Lie algebra and a weight of . Let be the algebra of quantized regular functions on the connected sim…
Off-shell Bethe vectors and Drinfeld currents
Sergey Khoroshkin, Stanislav Pakuliak, Vitaly Tarasov
In this paper we compare two constructions of weight functions (off-shell Bethe vectors) for the quantum affine algebra . The first construction comes f…