Séminaire lotharingien de combinatoire, 78B (2017)
Citer cet article
Vladimir I. Danilov; Alexander V. Karzanov. On Universal Quadratic Identities for Minors of Quantum Matrices. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a20/
@article{SLC_2017_78B_a20,
author = {Vladimir I. Danilov and Alexander V. Karzanov},
title = {On {Universal} {Quadratic} {Identities} for {Minors} of {Quantum} {Matrices}},
journal = {S\'eminaire lotharingien de combinatoire},
year = {2017},
volume = {78B},
url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a20/}
}
TY - JOUR
AU - Vladimir I. Danilov
AU - Alexander V. Karzanov
TI - On Universal Quadratic Identities for Minors of Quantum Matrices
JO - Séminaire lotharingien de combinatoire
PY - 2017
VL - 78B
UR - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a20/
ID - SLC_2017_78B_a20
ER -
%0 Journal Article
%A Vladimir I. Danilov
%A Alexander V. Karzanov
%T On Universal Quadratic Identities for Minors of Quantum Matrices
%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a20/
%F SLC_2017_78B_a20
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.
