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Higher υ_n torsion in Lie groups

机译:Lie组的υ_n扭转较高

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In this paper we consider K(n)~*(G), the Morava K-theory of certain Lie groups. Specifically, we compute K(n)~*(G) for G = G_2, F_4, E_6, E_7, E_8, PE_7 and PSp(m) at the prime 2, and PE_6 and PU(m) for odd primes. In particular, together with [Ho], [Y2] (see also [Hu]) and certain elementary observations, this completes the computations of the Morava K-theory of all the connected, simple, simply connected compact Lie groups with the sole exception the groups Spin(m) at the prime 2.
机译:在本文中,我们考虑K(n)〜*(G),即某些李群的Morava K-理论。具体来说,我们针对素数2的G = G_2,F_4,E_6,E_7,E_8,PE_7和PSp(m)计算K(n)〜*(G),对于奇质数计算PE_6和PU(m)。尤其是,与[Ho],[Y2](另请参阅[Hu])和某些基本观察结果一起,完成了所有连通,简单,简单连通的紧凑Lie群的Morava K-理论的计算,唯一的例外是素数为2的组Spin(m)。

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