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

Abstract. 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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