Geodesic
On 3-graded Lie algebras, Jordan pairs and the canonical kernel function
de Oliveira, M.1
1 Department of Mathematics, University of Toronto, Canada
Electronic research announcements of the American Mathematical Society, Tome 09 (2003), pp. 142-151 Cet article a éte moissonné depuis la source American Mathematical Society

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We present several embedding results for $3$-graded Lie algebras and KKT algebras that are generated by two homogeneous elements of degrees $1$ and $-1$. We also propose the canonical kernel function for a “universal Bergman kernel” which extends the usual Bergman kernel on a bounded symmetric domain to a group-valued function or, in terms of formal series, to an element in the formal completion of the universal enveloping algebra of the free $3$-graded Lie algebra in a pair of generators.
DOI : 10.1090/S1079-6762-03-00122-7

de Oliveira, M. 1

1 Department of Mathematics, University of Toronto, Canada 
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de Oliveira, M. On 3-graded Lie algebras, Jordan pairs and the canonical kernel function. Electronic research announcements of the American Mathematical Society, Tome 09 (2003), pp. 142-151. doi: 10.1090/S1079-6762-03-00122-7

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