2009/02/27 by Jason P. Bell, J. Bell, Bell, J. +3
Mathematics · #16W35 #20G42 #Advanced Topics in Algebra #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #advanced mathematical theories #math.QA #math.RA #msc:16W35 #msc:20G42
paper · pdf · doi:10.48550/arxiv.0902.4813
New introduction; results improved
openalex publication_date 2009/02/27 · arxiv created 2009/09/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the topology of the prime spectrum of an algebra supporting a rational torus action. More precisely, we study inclusions between prime ideals that are torus-invariant using the H-stratification theory of Goodearl and Letzter on one hand and the theory of deleting derivations of Cauchon on the other. We apply the results obtained to the algebra of m × n generic quantum matrices to show that the dimensions of the H-strata described by Goodearl and Letzter are bounded above by the minimum of m and n, and that moreover all the values between 0 and this bound are achieved.