Browsing by Author "Mukhin, Evgeny"

Now showing items 1-5 of 5

    • Affinization of category O for quantum groups 

      Young, Charles A. S.; Mukhin, Evgeny (2014)
      Let g be a simple Lie algebra. We consider the category ˆO of those modules over the affine quantum group Uq(bg) whose Uq(g)-weights have finite multiplicity and lie in a finite union of cones generated by negative roots. ...

    • Extended T-systems 

      Mukhin, Evgeny; Young, Charles A. S. (2012)
      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. That allows us to introduce a set of ...

    • Gaudin models for gl(m|n) 

      Mukhin, Evgeny; Vicedo, Benoit; Young, Charles A. S. (2015-05)
      We establish the basics of the Bethe ansatz for the Gaudin model associated to the Lie superalgebra gl(m|n). In particular, we prove the completeness of the Bethe ansatz in the case of tensor products of fundamental ...

    • Path description of type B q-characters 

      Mukhin, Evgeny; Young, Charles A. S. (2012-10)
      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 result to obtain an explicit path description ...

    • The solutions of $\mathfrak{gl}_{M|N}$ Bethe ansatz equation and rational pseudodifferential operators 

      Huang, Chenliang; Mukhin, Evgeny; Vicedo, Benoît; Young, Charles (2019-10-01)
      We describe a reproduction procedure which, given a solution of the $\mathfrak{gl}_{M|N}$ Gaudin Bethe ansatz equation associated to a tensor product of polynomial modules, produces a family $P$ of other solutions called ...