Электронная библиотека (репозиторий) Томского государственного университета

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Add   Differential operators on the superline, Berezinians, and Darboux transformations
Authors: Li, Simon | Shemyakova, Ekaterina S. | Voronov, Theodore Th.
Source: Letters in mathematical physics. 2017. Vol. 107, № 9. P. 1689-1714
Type: статьи в журналах
Date: 2017
Description: 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 (whic ... More
Add   Darboux transformations for differential operators on the superline
Authors: Hill, S. | Shemyakova, E. S. | Voronov, Th. Th.
Source: Russian mathematical surveys. 2015. Vol. 70, № 6. P. 1173-1175
Type: статьи в журналах
Date: 2015
Description: We give a full description of Darboux transformations of any order for arbitrary (nondegenerate) differential operators on the superline. We show that every Darboux transformation of such operators fa ... More
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