5 papers
Motives, cohomological invariants and the Freudenthal magic square
Nikita Geldhauser, Alexander Henke, Maksim Zhykhovich
We investigate cohomological invariants and motivic invariants of semisimple algebraic groups arising in the Freudenthal magic square. Besides, we show that if the Rost invariant o…
-invariant of linear algebraic groups of outer type
Nikita Geldhauser, Maksim Zhykhovich
We extend the notion of the -invariant to arbitrary semisimple linear algebraic groups and provide complete decompositions for the normed Chow motives of all generically quasi-s…
Chow rings of quasi-split geometrically almost simple algebraic groups
Alexey Ananyevskiy, Nikita Geldhauser
We compute the Chow ring of a quasi-split geometrically almost simple algebraic group assuming the coefficients to be a field. This extends the classical computation for split grou…
Morava -invariant
Nikita Geldhauser, Andrei Lavrenov, Victor Petrov +1
We compute the co-multiplication of the algebraic Morava K-theory for split orthogonal groups. This allows us to compute the decomposition of the Morava motives of generic maximal…
Tits construction and Rost invariant
Nikita Geldhauser, Victor Petrov
We show a Springer type theorem for the variety of parabolic subgroups of type for all groups of type . As far as we know this gives the first example for the validity…