Note on restriction maps of Chow rings to Weyl group invariants

2016/05/09 by Yagita, Nobuaki
#55N20 #55R12 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.02682

Abstract

Let G be an algebraic group corresponding to a compact Lie group. We study the restiction map from the Chow ring CH(BG) to the Wely group invariants CH(BT)^W. For example, we note that if G is simply connect and H(G) has torsion, then the restriction map is always not surjective.

Related

• Notes on Chow rings of G/B and BG
• The Chow ring of a classifying space
• Weyl groups for non-classical restricted Lie algebras and the Chevalley restriction theorem
• Torsion classes in the equivariant Chow groups of algebraic tori
• Isomorphisms up to bounded torsion between relative K₀-groups and Chow groups with modulus