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Basic quadratic identities on quantum minors

2020/02/01 by Danilov, Vladimir, Karzanov, Alexander
#05C75 #05E99 #16T99 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2002.00204

Abstract

This paper continues an earlier research of the authors on universal quadratic identities (QIs) on minors of quantum matrices. We demonstrate situations when the universal QIs are provided, in a sense, by the ones of four special types (Plucker, co-Plucker, Dodgson identities and quasi-commutation relations on flag and co-flag interval minors).

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