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Noncommutative Double Bruhat cells and their factorizations

Arkady Berenstein·Vladimir Retakh
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Abstract

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 noncommutative coefficents.

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Arkady Berenstein, Vladimir Retakh. 2004-08-02. Noncommutative Double Bruhat cells and their factorizations. https://arxiv.org/abs/math/0407010

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