Abstract
AbstractWe 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
Publisher
Cambridge University Press (CUP)
Cited by
5 articles.
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