Generating varieties for the triple loop space of classical Lie groups

Yasuhiko Kamiyama

Fundamenta Mathematicae, Tome 177 (2003), p. 269-283 / Harvested from The Polish Digital Mathematics Library

Résumé

For G = SU(n), Sp(n) or Spin(n), let $C_{G} (S U (2))$ be the centralizer of a certain SU(2) in G. We have a natural map $J : G / C_{G} (S U (2)) \to Ω ₀ ³ G$ . For a generator α of $H ⁎ (G / C_{G} (S U (2)); ℤ / 2)$ , we describe J⁎(α). In particular, it is proved that $J ⁎ : H ⁎ (G / C_{G} (S U (2)); ℤ / 2) \to H ⁎ (Ω ₀ ³ G; ℤ / 2)$ is injective.

Publié le : 2003-01-01

Zbl 1028.58013

EUDML-ID : urn:eudml:doc:282803

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     volume = {177},
     year = {2003},
     pages = {269-283},
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Yasuhiko Kamiyama. Generating varieties for the triple loop space of classical Lie groups. Fundamenta Mathematicae, Tome 177 (2003) pp. 269-283. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm177-3-6/