Basic quadratic identities on quantum minors

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 (Plűcker, co-Plűcker, Dodgson identities and quasi-commutation r...

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Bibliographic Details
Published in:Journal of algebra 2021-07, Vol.578, p.303-318
Main Authors: Danilov, Vladimir I., Karzanov, Alexander V.
Format: Article
Language:English
Subjects:
Cauchon graph
Path matrix
Plűcker and Dodgson relations
Quantum matrix
Quasi-commuting minors
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Summary: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 (Plűcker, co-Plűcker, Dodgson identities and quasi-commutation relations on flag and co-flag interval minors).
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2021.02.027