2009/10/06 by Milen Yakimov, Yakimov, Milen · 1 citation
Mathematics · #14M15 #16W35 #20G42 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.CO #math.QA #math.RA #msc:14M15 #msc:16W35 #msc:20G42
paper · pdf · doi:10.48550/arxiv.0910.0997
14 pages, AMSLatex. to appear in Proc. AMS
arxiv created 2009/10/06 · openalex publication_date 2009/10/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We classify the invariant prime ideals of a quantum partial flag variety under the action of the related maximal torus. As a result we construct a bijection between them and the torus orbits of symplectic leaves of the standard Poisson structure on the corresponding flag variety. It was previously shown by K. Goodearl and the author that the latter are precisely the Lusztig strata of the partial flag variety.