 UHRA Home
 University of Hertfordshire
 Browsing University of Hertfordshire by Author
Browsing University of Hertfordshire by Author "Mukhin, Evgeny"
Now showing items 15 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 Tsystems
Mukhin, Evgeny; Young, Charles A. S. (2012)We use the theory of qcharacters to establish a number of short exact sequences in the category of finitedimensional representations of the quantum affine groups of types A and B. That allows us to introduce a set of ... 
Gaudin models for gl(mn)
Mukhin, Evgeny; Vicedo, Benoit; Young, Charles A. S. (201505)We establish the basics of the Bethe ansatz for the Gaudin model associated to the Lie superalgebra gl(mn). In particular, we prove the completeness of the Bethe ansatz in the case of tensor products of fundamental ... 
Path description of type B qcharacters
Mukhin, Evgeny; Young, Charles A. S. (201210)We give a set of sufficient conditions for a Laurent polynomial to be the qcharacter of a finitedimensional irreducible representation of a quantum affine group. We use this result to obtain an explicit path description ... 
The solutions of $\mathfrak{gl}_{MN}$ Bethe ansatz equation and rational pseudodifferential operators
Huang, Chenliang; Mukhin, Evgeny; Vicedo, Benoît; Young, Charles (20191001)We describe a reproduction procedure which, given a solution of the $\mathfrak{gl}_{MN}$ Gaudin Bethe ansatz equation associated to a tensor product of polynomial modules, produces a family $P$ of other solutions called ...