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Central element in the algebra \(U(K_ m)\). (English. Russian original) Zbl 0749.17010
Sov. Math. 35, No. 5, 15-20 (1991); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1991, No. 5(348), 16-22 (1991).
A series of central elements in the universal enveloping algebra of a simple contact \(p\)-algebra \(K_ m\), \(m\geq 1\), \(m+2\not\equiv 0\pmod p\) is computed, and generating elements for the quotient field of the center of \(U(K_ 1)\) are constructed. In the last case the results of A. A. Mil’ner [Funkts. Anal. Prilozh. 14, No. 2, 67-68 (1980; Zbl 0433.17006)] and Ya. S. Krylyuk [Izv. Akad. Nauk SSSR, Ser. Mat. 50, No. 2, 393-412 (1986; Zbl 0607.17006)] are used.
MSC:
17B35 Universal enveloping (super)algebras
17B50 Modular Lie (super)algebras
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