CHOW GROUPS OF PRODUCTS OF SEVERI-BRAUER VARIETIES AND INVARIANTS OF DEGREE 3

We study the semi-decomposable invariants of a split semisimple group and their extension to a split reductive group by using the torsion in the codimension 2 Chow groups of a product of Severi-Brauer varieties. In particular, for any n >= 2 we completely determine the degree 3 invariants of a split semisimple group, the quotient of (SL2)(n) by its maximal central sub-group, as well as of the corresponding split reductive group. We also provide an example illustrating that a modification of our method can be applied to find the semi-decomposable invariants of a split semisimple group of type A.
Publisher
AMER MATHEMATICAL SOC
Issue Date
2017-03
Language
English
Keywords

COHOMOLOGICAL INVARIANTS

Citation

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.369, no.3, pp.1757 - 1771

ISSN
0002-9947
DOI
10.1090/tran/6772
URI
http://hdl.handle.net/10203/220445
Appears in Collection
MA-Journal Papers(저널논문)
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