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

DOI10.1007/978-3-319-58971-8_17zbMath1385.16024arXiv0911.2990OpenAlexW1611023055MaRDI QIDQ1707334

Stephane Launois, Thomas H. Lenagan

Publication date: 29 March 2018

Full work available at URL: https://arxiv.org/abs/0911.2990

zbMATH Keywords

quantum matricestotally nonnegative matricestotally positive matricesPoisson algebrassymplectic leavescellstorus-invariant prime ideals

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38)

Related Items (7)

Quantum analogues of Richardson varieties in the Grassmannian and their toric degeneration. ⋮ Efficient recognition of totally nonnegative matrix cells ⋮ Scaffoldings of totally positive matrices and line insertion ⋮ LU decomposition of totally nonnegative matrices ⋮ Enumeration of \(\mathcal H\)-strata in quantum matrices with respect to dimension ⋮ The prime spectrum of quantum SL3 and the Poisson prime spectrum of its semiclassical limit ⋮ A quantum analogue of the dihedral action on Grassmannians.

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