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Extremal projectors and generalized Mickelsson algebras over reductive Lie algebras

D. P. Zhelobenko


Abstract: A description is given of “extremal projectors” in the associative envelopes of reductive (finite-dimensional) Lie algebras. In terms of extremal projectors, a description is then obtained of (generalized) Mickelsson algebras. Finally, a characterization is given for these algebras in terms of generators and relations.
Bibliography: 14 titles.

UDC: 519.46

MSC: Primary 17B20, 17B35; Secondary 81C40

Received: 11.12.1986

 English version: Mathematics of the USSR-Izvestiya, 1989, 33:1, 85–100

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