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Equivariant K-theory of flag varieties revisited and related results

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Uma V.

Colloquium Mathematicum

2013

tom 132

nr 2

151-175

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.

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1 Colloquium Mathematicum

1 Uma V.

1 2013

Wyniki wyszukiwania

Equivariant K-theory of flag varieties revisited and related results