On 3-graded Lie Algebras, Jordan Pairs and the Canonical Kernel Function
نویسنده
چکیده
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.
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