E. Mukhin

activity

19972022

most citedCombinatorics of q-characters of finite-dimensional representations of quantum affine algebras

218 citations · 793 across the 59 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.QA2013★ 20 cited

Branching rules for quantum toroidal gl(n)

B. Feigin, M. Jimbo, T. Miwa +1

We construct an analog of the subalgebra $U g l (n) \otimes U g l (m)$ of $U g l (m + n)$ in the setting of quantum toroidal algebras and study the restrictions of various representations to t…

math.AG2013

On the number of populations of critical points of master functions

Evgeny Mukhin, Alexander Varchenko

We consider the master functions associated with one irreducible integrable highest weight representation of a Kac-Moody algebra. We study the generation procedure of new critical…

math.AG2013★ 7 cited

Spaces of quasi-exponentials and representations of the Yangian Y(gl_N)

E. Mukhin, V. Tarasov, A. Varchenko

We consider a tensor product $V(b)= \otimes_{i=1}^n\C^N(b_i)$ of the Yangian $Y (g l_{N})$ evaluation vector representations. We consider the action of the commutative Bethe subalgebra…