The paper introduces a non-commutative q-P(A3) system and recovers its birational representation via a non-commutative Sakai surface theory while linking it to other discrete Painlevé equations.
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On a non-commutative sixth $q$-Painlev\'e system: from discrete system to surface theory
The paper introduces a non-commutative q-P(A3) system and recovers its birational representation via a non-commutative Sakai surface theory while linking it to other discrete Painlevé equations.