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We consider quantum Schubert cells in the quantum grassmannian and give a cell decomposition of the prime spectrum via the Schubert cells.
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K R Goodearl and T H Lenagan, Winding invariant prime ideals in quantum 3x3 matrices
2003
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T H Lenagan and L Rigal, Quantum analogues of Schubert varieties in the grassmannian
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A Postnikov, Total positivity, grassmannians, and networks
Cited in the paper.