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arxiv: 0911.2990 · v1 · submitted 2009-11-16 · 🧮 math.QA · math.AG· math.CO

From totally nonnegative matrices to quantum matrices and back, via Poisson geometry

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In this survey article, we describe recent work that connects three separate objects of interest: totally nonnegative matrices; quantum matrices; and matrix Poisson varieties.

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