A Gröbner basis for Kazhdan-Lusztig ideals

DOI10.1353/ajm.2012.0031zbMath1262.13044arXiv0909.0564OpenAlexW1991973595MaRDI QIDQ2903091

Alexander Woo, Alexander Yong

Publication date: 23 August 2012

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0564

zbMATH Keywords

Gröbner basisSchubert varietyKazhdan-Lusztig ideal

Mathematics Subject Classification ID

Determinantal varieties (14M12) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (22)

EQUIVARIANT -THEORY OF GRASSMANNIANS ⋮ Equivariant Schubert calculus and jeu de taquin ⋮ Representations of Algebras ⋮ Geometric vertex decomposition and liaison ⋮ A note on specializations of Grothendieck polynomials ⋮ A Gröbner basis for Schubert patch ideals ⋮ Patch ideals and Peterson varieties ⋮ Schubert varieties in the Grassmannian and the symplectic Grassmannian via a bounded RSK correspondence ⋮ Geometric vertex decomposition and liaison ⋮ Complexity of the usual torus action on Kazhdan-Lusztig varieties ⋮ The multiplicity of a singularity in a vexillary Schubert variety ⋮ Gröbner bases, symmetric matrices, and type C Kazhdan–Lusztig varieties ⋮ Governing singularities of symmetric orbit closures ⋮ The singular locus of semisimple Hessenberg varieties ⋮ Monk's rule and Giambelli's formula for Peterson varieties of all Lie types ⋮ Matrix Schubert varieties and Gaussian conditional independence models ⋮ A reducible characteristic variety in type A ⋮ Multiplicity on a Richardson variety in a cominuscule $G/P$ ⋮ Degrees of symmetric Grothendieck polynomials and Castelnuovo-Mumford regularity ⋮ Excited Young diagrams, equivariant $K$-theory, and Schubert varieties ⋮ Castelnuovo-Mumford regularity of ladder determinantal varieties and patches of Grassmannian Schubert varieties ⋮ Towards combinatorial invariance for Kazhdan-Lusztig polynomials

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