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Appendix to elliptic genera, involutions, and homogeneous spin-manifolds by Friedrich Hirzebruch and Peter Slodowy

✍ Scribed by John G. Bliss; Robert V. Moody; Arturo Pianzola


Publisher
Springer
Year
1990
Tongue
English
Weight
204 KB
Volume
35
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

✦ Synopsis


Dedicated to Professor Jacques Tits on the occasion of his sixtieth birthday

Let X = G/H be a simply connected homogeneous space under the compact Lie group G where H is a subgroup of G and rank(G)= rank(H). Let 2 := Z(T, G) be the root system of G relative to some maximal torus T of H (hence also of G), E':= Z(T,H) c Z, Z '+ := E'n2 + where E + is a fixed positive set of roots of 2. Then, according to Hirzebruch and Slodowy (Theorem 2.5 of the parent paper [1]), '~ The authors acknowledge the continuous support of the Natural Sciences and Engineering Research Council of Canada.