单代数群的一个不变量
An invariant of simple algebraic groups
摘要:
利用单连通代数群G的Rost不变量定义了G的强内型不变量。这个不变量取商H^3(k,Q/Z(2))中的值。它被用来证明Gille分裂准则对E_6和E_7型群的推广。
英文摘要:
The Rost invariant associated with a simple simply connected algebraic group G is used to define an invariant of strongly inner forms of G. This invariant takes values in a quotient of H^3(k, Q/Z(2)). It is used to prove a generalization of Gille's splitting criterion for groups of type E_6 and E_7.
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