22 citations · 103 across the 20 of their papers we have counts for
20 papers
Twisted super Yangians of quasi-split type A
Kang Lu
We introduce the twisted super Yangian of quasi-split type A in the Drinfeld current presentation for an arbitrary symmetric parity sequence $\mathfrak{…
Shifted twisted Yangians and affine Grassmannian islices
Kang Lu, Weiqiang Wang, Alex Weekes
In a prequel we introduced the shifted iYangians associated to quasi-split Satake diagrams of type ADE and even spherical coweights , and constructed the iGKLO r…
Shifted twisted Yangians and finite -algebras of classical type
Kang Lu, Yung-Ning Peng, Lukas Tappeiner +2
We introduce parabolic presentations of twisted Yangians of types AI and AII, interpolating between the R-matrix presentation and the Drinfeld presentation. Then we formulate and p…
A Drinfeld type presentation of twisted Yangians of quasi-split type
Kang Lu, Weinan Zhang
We formulate a family of algebras, twisted Yangians (of simply-laced quasi-split type) in Drinfeld type current generators and defining relations. These new algebras admit PBW type…
Affine quantum groups and twisted Yangians in Drinfeld presentations
Kang Lu, Weiqiang Wang, Weinan Zhang
We formulate a family of algebras, twisted Yangians (of split type) in current generators and relations, via a degeneration of the Drinfeld presentation of affine quantum g…
A Drinfeld type presentation of twisted Yangians
Kang Lu, Weiqiang Wang, Weinan Zhang
We develop a Gauss decomposition approach to establish a Drinfeld type current presentation for Olshanski's twisted Yangians associated to the orthogonal Lie algebras (also called…
On Bethe eigenvectors and higher transfer matrices for supersymmetric spin chains
Kang Lu
We study the XXX spin chains defined on tensor products of highest -modules. We show that the on-shell Bethe vectors are eigenvectors of…
Completeness of Bethe ansatz for Gaudin models associated with gl(1|1)
Kang Lu
We study the Gaudin models associated with . We give an explicit description of the algebra of Hamiltonians (Gaudin Hamiltonians) acting on tensor products of p…
A note on odd reflections of super Yangian and Bethe ansatz
Kang Lu
In a recent paper arXiv:2109.09462, Molev introduced analogues of the odd reflections for the super Yangian and obtained a transition rule for the…
Schur-Weyl duality for quantum toroidal superalgebras
Kang Lu
We establish the Schur-Weyl type duality between double affine Hecke algebras and quantum toroidal superalgebras, generalizing the well known result of Vasserot-Varagnolo [VV96] to…
Bethe ansatz equations for orthosymplectic Lie superalgebras and self-dual superspaces
Kang Lu, Evgeny Mukhin
We study solutions of the Bethe ansatz equations associated to the orthosymplectic Lie superalgebras and . Given a solution, we d…
Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra
Kang Lu
We give explicit actions of Drinfeld generators on Gelfand-Tsetlin bases of super Yangian modules associated with skew Young diagrams. In particular, we give another proof that the…
Perfect Integrability and Gaudin Models
Kang Lu
We suggest the notion of perfect integrability for quantum spin chains and conjecture that quantum spin chains are perfectly integrable. We show the perfect integrability for Gaudi…
Jacobi-Trudi identity and Drinfeld functor for super Yangian
Kang Lu, Evgeny Mukhin
We show that the quantum Berezinian which gives a generating function of the integrals of motions of XXX spin chains associated to super Yangian c…
Solutions of XXX Bethe ansatz equation and rational difference operators
Chenliang Huang, Kang Lu, Evgeny Mukhin
We study solutions of the Bethe ansatz equations of the non-homogeneous periodic XXX model associated to super Yangian . To a solution we associate…
On the Gaudin model of type G
Kang Lu, E. Mukhin
We derive a number of results related to the Gaudin model associated to the simple Lie algebra of type G. We compute explicit formulas for solutions of the Bethe ansatz equatio…
Lower Bounds for Numbers of Real Self-Dual Spaces in Problems of Schubert Calculus
Kang Lu
The self-dual spaces of polynomials are related to Bethe vectors in the Gaudin model associated to the Lie algebras of types B and C. In this paper, we give lower bounds for the nu…
Self-dual Grassmannian, Wronski map, and representations of , ,
Kang Lu, E. Mukhin, A. Varchenko
We define a -stratification of the Grassmannian of planes . The -stratification consists of strata labeled by…
Multiplicity free gradings on semisimple Lie and Jordan algebras and skew root
Gang Han, Kang Lu, Yucheng Liu
A -grading on an algebra is called multiplicity free if each homogeneous component of the grading is 1-dimensional, where is an abelian group. We introduce skew root systems…
On the Gaudin model associated to Lie algebras of classical types
Kang Lu, E. Mukhin, A. Varchenko
We derive explicit formulas for solutions of the Bethe Ansatz equations of the Gaudin model associated to the tensor product of one arbitrary finite-dimensional irreducible module…