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THE MAXIMAL ORDER PROPERTY FOR QUANTUM DETERMINANTAL RINGS
Published online by Cambridge University Press: 10 December 2003
Abstract
We develop a method of reducing the size of quantum minors in the algebra of quantum matrices $\mathcal{O}_q(M_n)$. We use the method to show that the quantum determinantal factor rings of $\mathcal{O}_q(M_n)c$ are maximal orders, for $q$ an element of $\mathbb{C}$ transcendental over $\mathbb{Q}$.
AMS 2000 Mathematics subject classification: Primary 16P40; 16W35; 20G42
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 46 , Issue 3 , October 2003 , pp. 513 - 529
- Copyright
- Copyright © Edinburgh Mathematical Society 2003
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