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ON THE p-COMPACT GROUPS CORRESPONDING TO THE p-ADIC REFLECTION GROUPS G(q, r, n)

By Natàlia Castellana

Abstract

Abstract. There exists an infinite family of p-compact groups whose Weyl groups correspond to the finite p-adic pseudoreflection groups G(q, r, n) offamily 2a in the Clark-Ewing list. In this paper we study these p-compact groups. In particular, we construct an analog of the classical Whitney sum map, a family of monomorphisms and a spherical fibration which produces an analog of the classical J-homomorphism. Finally, we also describe a faithful complexification homomorphism from these p-compact groups to the p-completion of unitary compact Lie groups

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.352.6296
Provided by: CiteSeerX
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