Transitioning between tableaux and spider bases for Specht modules
Representation Theory
2020-09-03 v2 Combinatorics
Geometric Topology
Quantum Algebra
Abstract
Regarding the Specht modules associated to the two-row partition , we provide a combinatorial path model to study the transitioning matrix from the tableau basis to the -web basis (i.e. cup diagrams), and prove that the entries in this matrix are positive in the upper-triangular portion with respect to a certain partial order.
Cite
@article{arxiv.1911.05049,
title = {Transitioning between tableaux and spider bases for Specht modules},
author = {Mee Seong Im and Jieru Zhu},
journal= {arXiv preprint arXiv:1911.05049},
year = {2020}
}
Comments
11 pages, referee's suggestions incorporated