Remarkable complexes of representations of
"super enlarged SU(3)xSU(2)xU(1)"


Alexei Rudakov

(Norwegian University of Science and Technology)

Brandeis University

Thursday, November 9, 2000


Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 300 Goldsmith Hall


Abstract:   Among simple infinite-dimensional Lie super-algebras, one could well be described as "super enlarged SU(3)xSU(2)xU(1)", two odd generators are added to the standard Serre-Chevalley set for SU(3)xSU(2)xU(1). This algebra, christened E(3,6) by V. Kac, belongs to the class of simple vector field Lie superalgebras he recently classified. Among similar simple Lie algebras there are Lie algebras of vector fields and those have remarkable complexes of representation -- the De Rham complexes of differential forms. It appears that E(3,6) has a remarkable family of complexes of representations too that could be of fundamental importance.

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