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Quantum- and Quasi-Plucker Coordinates

arXiv:math/0406062

Abstract

We demonstrate a passage from the "quasi-Plucker coordinates" of Gelfand and Retakh, to the quantum Plucker coordinates built from q-generic matrices. In the process, we rediscover the defining relations of the quantum Grassmannian of Taft and Towber and provide that algebra with more concrete geometric origins.

Corrected typos, to appear in Journal of Algebra