pith. sign in

arxiv: 1802.09702 · v1 · pith:ES23GEYDnew · submitted 2018-02-27 · 🧮 math.QA

Drinfeld realisations and vertex operator representations of quantum affine superalgebras

Ying Xu , Ruibin Zhang This is my paper
classification 🧮 math.QA
keywords affinemathfrakquantumrealisationsrepresentationssuperalgebrasdrinfeldoperator
0
0 comments X
read the original abstract

Drinfeld realisations are constructed for the quantum affine superalgebras of the series ${\rm\mathfrak{osp}}(1|2n)^{(1)}$,${\rm\mathfrak{sl}}(1|2n)^{(2)}$ and ${\rm\mathfrak{osp}}(2|2n)^{(2)}$. By using the realisations, we develop vertex operator representations and classify the finite dimensional irreducible representations for these quantum affine superalgebras.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Invariants and representations of the $\Gamma$-graded general linear Lie $\omega$-algebras

    math.RT 2025-09 unverdicted novelty 7.0

    Establishes generalized Howe dualities and fundamental theorems of invariant theory for Γ-graded gl(V(Γ,ω)), classifies unitarisable modules for two compact *-structures, constructs a Hopf (Γ,ω)-algebra, and realizes ...