Cyclic orders on the quantum grassmannian

Details Cyclic orders on the quantum grassmannian Cyclic orders on the quantum grassmannian

2008-06-20

arxiv.org/abs/0806.3351v1

Mathematics

Quantum Algebra

17 pages

Scientific paper

The quantum grassmannian is known to be a graded quantum algebra with a straightening law when the poset of generating quantum minors is endowed with the standard partial ordering. In this paper it is shown that this result remains true when the ordering is subjected to cyclic shifts. The method involves proving that noncommutative dehomogenisation is possible at any consecutive quantum minor.

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