92-77 Pestov , V.G.

On enlargability of infinite-dimensional Lie superalgebras (56K, AmS TeX 2.1) Jun 19, 92

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Abstract. We show that in infinite dimensions a Lie superalgebra coming from a Rogers supergroup may not come from a DeWitt one. Thus, we produce an evidence that a whole class of Lie superalgebras can be enlarged only by means of the ``naive'' approach to supermanifolds, which therefore cannot be merely thrown away.

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