Ring theoretic properties of quantum grassmannians
量子代数
2007-05-23 v1 环与代数
摘要
The m x n quantum grassmannian, G_q(m,n), is the subalgebra of the algebra of m x n quantum matrices that is generated by the maximal m x m quantum minors. Several properties of G_q(m,n) are established. In particular, a basis of G_q(m,n) is obtained, and it is shown that G_q(m,n) is a noetherian domain of Gelfand-Kirillov dimension m(n-m)+1. The algebra G_q(m,n) is identified as the subalgebra of coinvariants of a natural left coaction of the m x m quantum special linear group on the algebra of m x n quantum matrices and it is shown that G_q(m,n) is a maximal order.
引用
@article{arxiv.math/0208152,
title = {Ring theoretic properties of quantum grassmannians},
author = {A C Kelly and T H Lenagan and L Rigal},
journal= {arXiv preprint arXiv:math/0208152},
year = {2007}
}
备注
22 pages, xypic diagram