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1. CMB 1999 (vol 42 pp. 248)
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The Classification of $\Pin_4$-Bundles over a $4$-Complex In this paper we show that the Lie-group $\Pin_4$ is isomorphic to
the semidirect product $(\SU_2\times \SU_2)\timesv \Z/2$ where
$\Z/2$ operates by flipping the factors. Using this structure
theorem we prove a classification theorem for $\Pin_4$-bundles over
a finite $4$-complex $X$.
Categories:55N25, 55R10, 57S15 |