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The Geometry of Recursion Operators

✍ Scribed by G. Bande; D. Kotschick

Publisher
Springer
Year
2008
Tongue
English
Weight
205 KB
Volume
280
Category
Article
ISSN
0010-3616

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## Abstract It is well known that any finitary operation is recursive in a suitable total numeration. A. Orlicki showed that there is an ω‐operation not recursive in any total numeration. We will show that any ω‐operation is recursive in a partial numeration. Mathematics Subject Classification: 03

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We prove that only even graded Poisson brackets can be characterized by the vanishing of the graded Schouten bracket of the associated graded tensor of type (0.2) with itself. On the other hand. we prove that the supertraces of different powers of an invariant graded tensor of type (I, I ) are const