@article{Zhang2024, 
author = {Yang Zhang and Shuxia Liu and Liwei Zeng},
title = {A symplectic fission scheme for the association scheme of rectangular matrices and its automorphisms},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {11},
pages = {32819-32830},
keywords = {association scheme, fission scheme, intersection number, automorphism},
url = {https://www.sciopen.com/article/10.3934/math.20241570},
doi = {10.3934/math.20241570},
abstract = {In this paper, a symplectic fission scheme for the association scheme of  m×n rectangular matrices over the finite field  Fq, denoted by  SMat(m×n,q), is constructed, where  q is a power of a prime number. We discuss its association classes and inner automorphism group. In particular, we determine the intersection numbers and automorphism group of  SMat(m×n,q) for  m=1 and  m=2.}
}