Equivariant K-theory of compactifications of algebraic groups
| dc.creator | Uma, V. | |
| dc.date | 2005-12-09 | |
| dc.date | 2007-06-12 | |
| dc.date.accessioned | 2026-07-07T08:05:07Z | |
| dc.date.available | 2026-07-07T08:05:07Z | |
| dc.description | In this article we describe the $G\times G$-equivariant $K$-ring of $X$, where $X$ is a regular compactification of a connected complex reductive algebraic group $G$. Furthermore, in the case when $G$ is a semisimple group of adjoint type, and $X$ its wonderful compactification, we describe its ordinary $K$-ring $K(X)$. More precisely, we prove that $K(X)$ is a free module over $K(G/B)$ of rank the cardinality of the Weyl group. We further give an explicit basis of $K(X)$ over $K(G/B)$, and also determine the structure constants with respect to this basis. | |
| dc.description | 41 pages, To appear in Transformation Groups | |
| dc.identifier | https://arxiv.org/abs/math/0512187 | |
| dc.identifier | http://arxiv.org/abs/math/0512187 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130175 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 19L47;14M17;14L30 | |
| dc.title | Equivariant K-theory of compactifications of algebraic groups | |
| dc.type | text |