THE K-THEORY OF VERSAL FLAGS AND COHOMOLOGICAL INVARIANTS OF DEGREE 3

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Let G be a split semisimple linear algebraic group over a field and let X be a generic twisted flag variety of G. Extending the Hilbert basis techniques to Laurent polynomials over integers we give an explicit presentation of the Grothendieck ring K-0(X) in terms of generators and relations in the case G = G(sc) / mu(2) is of Dynkin type A or C (here Gsc is the simply-connected cover of G); we compute various groups of (indecomposable, semi-decomposable) cohomological invariants of degree 3, hence, generalizing and extending previous results in this direction.
Publisher
UNIV BIELEFELD
Issue Date
2017
Language
English
Article Type
Article
Keywords

VARIETIES

Citation

DOCUMENTA MATHEMATICA, v.22, pp.1117 - 1148

ISSN
1431-0643
URI
http://hdl.handle.net/10203/226935
Appears in Collection
MA-Journal Papers(저널논문)
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