E. Mukhin

activity

20022009

most citedBethe eigenvectors of higher transfer matrices

52 citations · 91 across the 8 of their papers we have counts for

collaborators

Showing 2006 · math.QAShow all

3 papers · 2 filters

math.QA2006★ 1 cited

A generalization of the Capelli identity

E. Mukhin, V. Tarasov, A. Varchenko

We prove a generalization of the Capelli identity. As an application we obtain an isomorphism of the Bethe subalgebras actions under the (gl(N),gl(M)) duality.

math.QA2006★ 3 cited

Bispectral and (gl_N, gl_M) Dualities, Discrete Versus Differential

E. Mukhin, V. Tarasov, A. Varchenko

Let $V =< x^{λ_{i}} p_{ij} (x), i = 1, ..., n, j = 1, ..., N_{i} >$ be a space of quasi-polynomials in $x$ of dimension $N = N_{1} + ... + N_{n}$ . The regularized fundamental differential operator of…

math.QA2006★ 52 cited

Bethe eigenvectors of higher transfer matrices

E. Mukhin, V. Tarasov, A. Varchenko

We consider the XXX-type and Gaudin quantum integrable models associated with the Lie algebra $g l_{N}$ . The models are defined on a tensor product irreducible $g l_{N}$ -modules. For eac…