Ring theoretic properties of quantum grassmannians

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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_q(m,n) are established. In particular, a basis of G_q(m,n) is obtained, and it is shown that G_q(m,n) is a noetherian domain of Gelfand-Kirillov dimension m(n-m)+1. The algebra G_q(m,n) is identified as the subalgebra of coinvariants of a natural left coaction of the m x m quantum special linear group on the algebra of m x n quantum matrices and it is shown that G_q(m,n) is a maximal order.
22 pages, xypic diagram

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Quantum Algebra, Rings and Algebras, 16W35, 20G42

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http://salesiana.dossiersoluciones.com/handle/123456789/64748

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208152
 http://arxiv.org/abs/math/0208152

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arXiv