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The bar spectral sequence converging toh *(SO(2n+1))
Authors:Vidhyānāth K Rao
Institution:(1) Department of Mathematics, The Ohio State University at Newark, 43055 Newark, OH, USA
Abstract:We study the bar spectral sequence converging toh *(SO(2n+1)), whereh is an algebra theory overBP. The differentials are determined completely ifh=P(l) andn<2 l . These results will be used in a future paper on the MoravaK-theories ofSO(2n+1), with no restriction onn. As another application, we determineBP *(Spin(7)) including much of its algebra structure.AMS Subject Classification: 57T10, 57T30, 55N22
Keywords:Bar special sequence  Orthogonal groups  BP-theory
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