R-matrix via Hasse diagrams

Nikita Kryazhevskikh; Andrey Mudrov; Vladimir Stukopin

Home/Archive/arXiv

arXiv · 2608.23103

R-matrix via Hasse diagrams

Nikita Kryazhevskikh·Andrey Mudrov·Vladimir Stukopin

View original source ↗Read source document ↗Export metadata ↓

Abstract

We calculate the R-matrix for the exceptional Lie superalgebra $\mathfrak{d}(2,1;κ)$ in the smallest representation of its quantum supergroup, using a method of Hasse diagrams.

Explore related subjects

math.QA

Keep this discovery

Explore connections, maps & timelines

BibTeX RIS

Nikita Kryazhevskikh, Andrey Mudrov, Vladimir Stukopin. 2026-08-24. R-matrix via Hasse diagrams. https://arxiv.org/abs/2608.23103

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Categorification of quasi-split iquantum groups

We introduce a new family of graded 2-categories generalizing the 2-quantum groups introduced by Khovanov, Lauda and Rouquier. We use them to categorify quasi-split iquantum groups in all symmetric types.

math.QA↗

arXiv2026

The Ring of Differential Operators on a Nodal Curve is not a Bialgebroid

In a previous article, we showed that local projectivity is a sufficient condition for the existence of a bialgebroid structure on the ring of differential operators on an affine variety. In this note, we show using elementary methods that the ring of differential operators on a nodal curve is neither locally projective nor does it admit a bialgebroid structure.

math.QA↗

arXiv2026

Coset representatives corresponding to Yetter-Drinfeld modules of modular group and continued fraction

We give complete conjugacy classes of modular group SL(2,Z). Particularly, the conjugacy classes of hyperbolic elements are decided by the proper equivalence classes of indefinite forms, and we give an example. Finally, we describe the coset representatives of centralizer of S, ST, T and hyperbolic elements of SL(2,Z) by regular continued fraction. In conclusion, most Nichols algebras over modular group are infinite-dimensional except Proposition 4.10.

math.QA↗