A sagbi basis for the quantum Grassmannian

DOI10.1016/S0022-4049(00)00053-0zbMath0992.14023arXivmath/9908016OpenAlexW2131563805MaRDI QIDQ5936014

Frank J. Sottile, Bernd Sturmfels

Publication date: 17 September 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9908016

zbMATH Keywords

quadratic Gröbner basisquantum Grassmannianquantum Plücker relationsquantum Schubert varietiessagbi basis

Mathematics Subject Classification ID

Determinantal varieties (14M12) Grassmannians, Schubert varieties, flag manifolds (14M15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects of higher-dimensional varieties (14Q15) Rings with straightening laws, Hodge algebras (13F50)

Related Items

A new class of finitely generated polynomial subalgebras without finite SAGBI bases, Veronese and Segre morphisms between non-commutative projective spaces, PBW degenerations, quiver Grassmannians, and toric varieties, Geometry of pure spinor formalism in superstring theory, Elementary transversality in the Schubert calculus in any characteristic, Algebras of quasi-Plücker coordinates are Koszul, Determinantal varieties over truncated polynomial rings, Lower bounds for real solutions to sparse polynomial systems, Real rational curves in Grassmannians, Compressed straight tableaux and a distributive lattice of representations, On birational geometry of the space of parametrized rational curves in Grassmannians

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