3 papers
math.RT2026
Quantized integral models of reductive monoids
Jingren Chi, Simon Jacques
We construct quantized integral models of reductive monoids and establish their finite-generation properties. We also describe the quantized coordinate rings of the basic affine sp…
math.RT2026
Reductive monoids over general base
Jingren Chi, Simon Jacques
We develop a theory of affine algebraic monoids over connected base schemes whose unit groups are split reductive groups. Our main result is a classification theorem for such objec…
math.AG2022
Orbit closures in flag varieties for the centralizer of an order-two nilpotent element : normality and resolutions for types A, B, D
Simon Jacques
Let G be a reductive algebraic group in classical types A, B, D and e be an element of its Lie algebra with Z its centraliser in G for the adjoint action. We suppose that e identif…