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arXiv:1601.02145 [math.AG]AbstractReferencesReviewsResources

Algebraic K-theory of varieties $SL_{2n}/Sp_{2n}$, $E_6/F_4$ and their twisted forms

Maria Yakerson

Published 2016-01-09Version 1

Let $SL_{2n}$, $Sp_{2n}$, $E_6 = G^{sc}(E_6)$, $F_4 = G(F_4)$ be simply connected split algebraic groups over an arbitrary field $F$. Algebraic K-theory of affine homogeneous varieties $SL_{2n}/Sp_{2n}$ and $E_6/F_4$ is computed. Moreover, explicit elements that generate $K_*(SL_{2n}/Sp_{2n})$ and $K_*(E_6/F_4)$ as $K_*(F)$-algebras are provided. For some twisted forms of these varieties K-theory is also computed.

Comments: 14 pages
Categories: math.AG, math.KT
Subjects: 19E08, 14M17
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