N-determined 2-compact groups. II

N-determined 2-compact groups

This is the first part of a paper that classifies 2-compact groups. In this first part we formulate a general classification scheme for 2-compact groups in terms of their maximal torus normalizer pairs. We apply this general classification procedure to the simple 2-compact groups of the A-family and show that any simple 2-compact group that is locally isomorphic to PGL(n+ 1,C) is uniquely N -de...

Symplectic Groups Are N - Determined 2 - Compact Groups

We show that for n ≥ 3 the symplectic group Sp(n) is as a 2-compact group determined up to isomorphism by the isomorphism type of its maximal torus normalizer. This allows us to determine the integral homotopy type of Sp(n) among connected finite loop spaces with maximal torus.

F U N D a M E N T a Mathematicae N -determined 2-compact Groups. Ii

This is the second part of a paper about the classification of 2-compact groups. In the first part we set up a general classification procedure and applied it to the simple 2-compact groups of the A-family. In this second part we deal with the other simple Lie groups and with the exotic simple 2-compact group DI(4). We show that all simple 2-compact groups are uniquely N -determined and conclud...

Probability of Mutually Commuting N-Tuples in Some Classes of Compact Groups

Spontaneous N = 2 → N = 1 Local Supersymmetry Breaking with Surviving Compact Gauge Groups *

Generic partial supersymmetry breaking of N = 2 supergravity with zero vacuum energy and with surviving unbroken arbitrary gauge groups is exhibited. Specific examples are given. ∗ Supported in part by EEC Science Program SC1*CT92-0789.