Invariant operators on a symplectic supermanifold
Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 521-533
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This paper studies unary operators in tensor fields on a symplectic supermanifold that are invariant with respect to canonical changes of coordinates. The formal analogue of this problem is considered – operators in formal tensor fields. A complete classification is given for such operators in the case when the image of an operator lies in a tensor field whose fiber is the direct sum of spaces generated by the highest vector. Figures: 5. Bibliography: 5 titles.
@article{SM_1984_48_2_a14,
author = {G. S. Shmelev},
title = {Invariant operators on a symplectic supermanifold},
journal = {Sbornik. Mathematics},
pages = {521--533},
year = {1984},
volume = {48},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1984_48_2_a14/}
}
G. S. Shmelev. Invariant operators on a symplectic supermanifold. Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 521-533. http://geodesic.mathdoc.fr/item/SM_1984_48_2_a14/