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math.QA1999
The first fundamental theorem of coinvariant theory for the quantum general linear group
K. R. Goodearl, T. H. Lenagan, L. Rigal
We prove First Fundamental Theorems of Coinvariant Theory for the standard coactions of the quantum general and special linear groups on tensor products of quantum matrix algebras.…
math.QA1999
Prime ideals in certain quantum determinantal rings
K. R. Goodearl, T. H. Lenagan
The ideal I generated by the 2x2 quantum minors in the algebra A = O_q(M_{m,n}(k)) (the quantized coordinate algebra of mxn matrices) is investigated. Analogues of the First and Se…