Séminaire Lotharingien de Combinatoire, 78B.21 (2017), 12 pp.
Vladimir I. Danilov and Alexander V. Karzanov
On Universal Quadratic Identities for Minors of Quantum Matrices
We give a complete combinatorial characterization of homogeneous
quadratic identities of "universal character" valid for minors of
quantum matrices over a field. This is obtained as a consequence of a
study of quantized minors of the so-called path matrices
associated with certain planar graphs generalizing Cauchon graphs.
Received: November 14, 2016.
Accepted: February 17, 2017.
Final version: April 1, 2017.
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