Parimala, R. ; Sridharan, R. ; Thakur, Maneesh L. (1999) Tits' constructions of Jordan Algebras and F4 bundles on the plane Compositio Mathematica, 119 (1). pp. 13-41. ISSN 0010-437X
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Official URL: http://www.springerlink.com/content/l0j3400512197t...
Related URL: http://dx.doi.org/10.1023/A:1001507928187
Abstract
In this paper, constructions of Jordan algebras over commutative rings are given which place, within a general set-up, the classical Tits constructions of exceptional central simple Jordan algebras over fields. These are used to exhibit nontrivial Jordan algebra bundles over the affine plane with a given exceptional Jordan division algebra over k as the fibre. The associated principal F4 bundles are shown to admit no reduction of the structure group to any proper connected reductive subgroup.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Exceptional Jodan Algebras; F4 Bundles |
| ID Code: | 34520 |
| Deposited On: | 22 Apr 2011 14:34 |
| Last Modified: | 13 May 2011 19:26 |
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