Braid Group Action and Quantum Queer Superalgebra

Autor: Chen, Jianmin, Li, Zhenhua, Zhu, Hongying
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we present explicit actions of braid group on the universal enveloping superalgebra ${\boldsymbol U}(\mathfrak{{q}}_n)$ and the quantum queer superalgebra ${\boldsymbol U}_{\!{v}}(\mathfrak{{q}}_{n})$. Then we provide a new definition of root vectors and some explicit expression for them. With these procedures, we obtain the PBW-type basis containing the product of root vectors.
Databáze: arXiv