Twisted super Yangians of type AIII and their representations
K Lu - arxiv preprint arxiv:2311.16373, 2023 - arxiv.org
We study the super analogue of the Molev-Ragoucy reflection algebras, which we call
twisted super Yangians of type AIII, and classify their finite-dimensional irreducible …
twisted super Yangians of type AIII, and classify their finite-dimensional irreducible …
Quantum Berezinian for the Twisted Super Yangian
H Lin, Y Wang, H Zhang - arxiv preprint arxiv:2501.05800, 2025 - arxiv.org
Motivated by an open problem proposed in Molev's book\cite [Section 2.16, Example
16]{Mo07}, we investigate the quantum Berezinian $\mathfrak {B}^{tw}(u) $ associated with …
16]{Mo07}, we investigate the quantum Berezinian $\mathfrak {B}^{tw}(u) $ associated with …
Affine quantum groups and twisted Yangians in Drinfeld presentations
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 $\imath $ quantum groups …
relations, via a degeneration of the Drinfeld presentation of affine $\imath $ quantum groups …
Isomorphism Between Twisted q-Yangians and Affine ι Quantum Groups: Type AI
K Lu - International Mathematics Research Notices, 2024 - academic.oup.com
By employing Gauss decomposition, we establish a direct and explicit isomorphism between
the twisted-Yangians (in R-matrix presentation) and affine quantum groups (in current …
the twisted-Yangians (in R-matrix presentation) and affine quantum groups (in current …
[PDF][PDF] Twisted super Yangians of quasi-split type A
K Lu - 2024 - kanglu.me
We introduce the twisted super Yangian Y s ı of quasi-split type A in the Drinfeld current
presentation for an arbitrary symmetric parity sequence s. We prove via Gauss …
presentation for an arbitrary symmetric parity sequence s. We prove via Gauss …