4 papers
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…