Equivariant K-theory of flag varieties revisited and related results

• Autorzy: V. Uma
• Języki publikacji: EN

Abstrakty

EN

We obtain several several results on the multiplicative structure constants of the T-equivariant Grothendieck ring $K_{T}(G/B)$ of the flag variety G/B. We do this by lifting the classes of the structure sheaves of Schubert varieties in $K_{T}(G/B)$ to R(T) ⊗ R(T), where R(T) denotes the representation ring of the torus T. We further apply our results to describe the multiplicative structure constants of $K(X)_{ℚ}$ where X denotes the wonderful compactification of the adjoint group of G, in terms of the structure constants of Schubert varieties in the Grothendieck ring of G/B.

Kategorie tematyczne

• 19L47: Equivariant K -theory
• 14M15: Grassmannians, Schubert varieties, flag manifolds
• 14L10: Group varieties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 132
• Numer: 2
• Strony: 151-175

Daty

wydano

2013

Twórcy

autor

V. Uma

• Department of Mathematics, IIT Madras, Chennai, India

Identyfikatory

DOI

10.4064/cm132-2-1