9 papers
Isomorphism between the R-matrix and Drinfeld presentations of quantum affine superalgebra for type
Pengfa Xu, Hongda Lin, Honglian Zhang
In this paper, we establish an explicit isomorphism between Drinfeld and R-matrix presentations of the quantum affine superalgebra associated with the general linear Lie superalgeb…
The double super Yangians in type A for arbitrary -sequences and their bosonic representations
Pengfa Xu, Hongda Lin, Honglian Zhang
In this paper, we introduce the double super Yangian and associated with…
Affine Yangians as Limits of Quantum Toroidal Algebras
Luan Bezerra, Iryna Kashuba, Hongda Lin
We establish a degeneration isomorphism between quantum toroidal algebras and untwisted affine Yangians, valid for all untwisted affine Kac-Moody Lie algebras. Specifically, we pro…
Representations of Quantum Affine General Linear Superalgebras at Arbitrary 01-Sequences
Hongda Lin, Honglian Zhang
In this paper, we investigate finite-dimensional irreducible representations of the quantum affine general linear superalgebra $\mathrm{U}_q\big(\widehat{\mathfrak{gl}}_{m|n,\mathb…
Drinfeld super Yangian of the exceptional Lie superalgebra
Hongda Lin, Honglian Zhang
In this paper, we establish the first rigorous framework for the Drinfeld super Yangian associated with an exceptional Lie superalgebra, which lacks a classical Lie algebraic count…
RTT presentation of coideal subalgebra of quantized enveloping algebra of type CI
Yingwen Zhang, Hongda Lin, Honglian Zhang
The pair consisting of a quantum group and its corresponding coideal subalgebra, known as a quantum symmetric pair, was developed independently by M. Noumi and G. Letzter through d…
Quantum Berezinian for the Twisted Super Yangian
Hongda Lin, Yongjie Wang, Honglian Zhang
Motivated by an open problem proposed in Molev's book \cite[Section 2.16, Example 16]{Mo07}, we investigate the quantum Berezinian associated with the twiste…
Braid group action and quantum affine superalgebra for type
Xianghua Wu, Hongda Lin, Honglian Zhang
In this paper, we investigate the structure of the quantum affine superalgebra associated with the orthosymplectic Lie superalgebra for . Th…
-Matrix Presentation of Quantum Affine Superalgebra for Type
Xianghua Wu, Hongda Lin, Honglian Zhang
In our preceding research, we introduced the Drinfeld presentation of the quantum affine superalgebra associated to the orthosymplectic Lie superalgebra f…