M-diagram basis of the Specht module for $(n,n,n)$

Autor: Zhu, Jieru
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: Motivated by the M-diagrams defined by Tymoczko, we show that these locally non-crossing $\mathfrak{sl}_3$-webs form a basis of the Specht module for the partition $(n,n,n)$. They further admit a unitriangular base change to both the polytabloid basis and the non-elliptic web basis.
Comment: 8 pages, lots of figures, comments are welcome
Databáze: arXiv