Conjugation coactions of the quantum general linear group on the algebra ofquantum matrices have been introduced in an earlier paper and the coinvariantshave been determined. In this paper the notion of orbit is considered viaco-orbit maps for these coactions. The co-orbit maps are calculated explicitlyfor 2 by 2 quantum matrices. In the NxN case we consider the case of a genericdiagonal matrix when the deformation parameter is transcendental over the fieldgenerated by the diagonal entries.
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机译:在较早的论文中已经介绍了量子一般线性基团在量子矩阵代数上的共轭共作用,并确定了协变。在本文中,对于这些协同作用,轨道的概念被认为是通过轨道图。对于2 x 2量子矩阵,显式计算了协轨图。在NxN情况下,当变形参数在由对角项生成的场上超越时,我们考虑通用对角矩阵的情况。
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