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math.QA2004
Noncommutative Double Bruhat cells and their factorizations
Arkady Berenstein, Vladimir Retakh
In the present paper we study noncommutative double Bruhat cells. Our main results are explicit positive matrix factorizations in the cells via quasiminors of matrices with noncomm…
math.QA2004★ 5 cited
Quantum cluster algebras
Arkady Berenstein, Andrei Zelevinsky
Cluster algebras were introduced by S. Fomin and A. Zelevinsky in math.RT/0104151; their study continued in math.RA/0208229, math.RT/0305434. This is a family of commutative rings…