Differential operators on the superline, Berezinians, and Darboux transformations

We consider differential operators on a supermanifold of dimension 1|1. We define non-degenerate operators as those with an invertible top coefficient in the expansion in the 'superderivative' D (which is the square root of the shift generator, the partial derivative in an even variable, w...

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Bibliographic Details
Published in:Letters in mathematical physics Vol. 107, № 9. P. 1689-1714
Main Author: Li, Simon
Other Authors: Shemyakova, Ekaterina S., Voronov, Theodore Th
Format: Article
Language:English
Subjects:
Online Access:http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000629900
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