We obtain several several results on the multiplicative structure constants of the T-equivariant Grothendieck ring of the flag variety G/B. We do this by lifting the classes of the structure sheaves of Schubert varieties in 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 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm132-2-1,
author = {V. Uma},
title = {Equivariant K-theory of flag varieties revisited and related results},
journal = {Colloquium Mathematicae},
volume = {131},
year = {2013},
pages = {151-175},
zbl = {1296.19003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm132-2-1}
}
V. Uma. Equivariant K-theory of flag varieties revisited and related results. Colloquium Mathematicae, Tome 131 (2013) pp. 151-175. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm132-2-1/