✦ LIBER ✦

Jordan Pairs and Hopf Algebras

✍ Scribed by John R Faulkner

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 273 KB
Volume: 232
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8394

No coin nor oath required. For personal study only.

✦ Synopsis

A quadratic Jordan pair is constructed from a ‫-ޚ‬graded Hopf algebra having divided power sequences over all primitive elements and with three terms in the ‫-ޚ‬grading of the primitive elements. The notion of a divided power representation of a Jordan pair is introduced and the universal object is shown to be a suitable Hopf algebra. This serves a replacement for the Tits᎐Kantor᎐Koecher construction.

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