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Jordan Algebras and bounded symmetric domains
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eric_chopin@hotmail.com
science forum beginner


Joined: 14 Feb 2006
Posts: 2

PostPosted: Mon Jun 26, 2006 8:28 pm    Post subject: Jordan Algebras and bounded symmetric domains Reply with quote

Dear All,

I may apologize if the question is too basic for this newsgroup, but I
would like to clarify a point seen in a paper dealing with Jordan
Algebras
and bounded symmetric domains.

The paper is:

http://www.arxiv.org/abs/math.RT/0206275
On the bottom of page 3, it is mentionned that if D=G\K is a bounded
symmetric domain
in a complex Jordan algebra V, K beeing a maximal compact subgroup of
G, then
the Lie algebra g of G can be identified with polynomials of degree at
most 2 in z (z in D).
I would like to know why the maximum degree is 2....

There is a reference mentionned in the paper but I have no access to a
university library with my working
hours. So any explanation or reference that can be accessed through the
web is welcome.

Thanks very much by advance,

Best regards,

Eric Chopin
http://perso.wanadoo.fr/eric.chopin
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