English

The maximal order property for quantum determinantal rings

Quantum Algebra 2007-05-23 v1 Rings and Algebras

Abstract

We develop a method of reducing the size of quantum minors in the algebra of n x n quantum matrices. The method is used to show that quantum determinantal factor rings of n x n quantum matrices over the complex numbers are maximal orders, when the parameter q is transcendental over the rational numbers.

Keywords

Cite

@article{arxiv.math/0208163,
  title  = {The maximal order property for quantum determinantal rings},
  author = {T H Lenagan and L Rigal},
  journal= {arXiv preprint arXiv:math/0208163},
  year   = {2007}
}

Comments

16 pages

R2 v1 2026-07-22T16:47:13.106Z