Twisting the quantum grassmannian

نویسنده

  • S Launois
چکیده

In contrast to the classical and semiclassical settings, the Coxeter element (12 . . . n) which cycles the columns of an m×n matrix does not determine an automorphism of the quantum grassmannian. Here, we show that this cycling can be obtained by defining a cocycle twist. A consequence is that the torus invariant prime ideals of the quantum grassmannian are permuted by the action of the Coxeter element (12 . . . n); we view this as a quantum analogue of the recent result of Knutson, Lam and Speyer that the Lusztig strata of the classical grassmannian are permuted by (12 . . . n). 2000 Mathematics subject classification: 16W35, 16P40, 16S38, 17B37, 20G42.

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تاریخ انتشار 2009