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math.QA2002
The maximal order property for quantum determinantal rings
T H Lenagan, L Rigal
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 qua…
math.QA2002
Ring theoretic properties of quantum grassmannians
A C Kelly, T H Lenagan, L Rigal
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_…