On Weil like functors on flag vector bundles with given length

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F23%3APU147987" target="_blank" >RIV/00216305:26210/23:PU147987 - isvavai.cz</a>
Result on the web
<a href="https://www.pmf.ni.ac.rs/filomat-content/2023/37-9/37-9-9-18390.pdf" target="_blank" >https://www.pmf.ni.ac.rs/filomat-content/2023/37-9/37-9-9-18390.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2298/FIL2309755D" target="_blank" >10.2298/FIL2309755D</a>

Result language
angličtina
Original language name
On Weil like functors on flag vector bundles with given length
Original language description
Let kappa >= 2 be a fixed natural number. The complete description is given of the product preserving gauge bundle functors F on the category F kappa VB of flag vector bundles K = (K; K1, ... , K kappa) of length kappa in terms of the systems I = (I1, ... , I kappa-1) of A-module homomorphisms Ii : Vi+1 -> Vi for Weil algebras A and finite dimensional (over R) A-modules V1, ... , V kappa. The so called iteration problem is investigated. The natural affinors on FK are classified. The gauge-natural operators C lifting kappa-flag-linear (i.e. with the flow in F kappa VB) vector fields X on K to vector fields C(X) on FK are completely described. The concept of the complete lift F phi of a kappa-flag-linear semi-basic tangent valued p-form phi on K is introduced. That the complete lift F phi preserves the Fro center dot licher-Nijenhuis bracket is deduced. The obtained results are applied to study prolongation and torsion of kappa-flag-linear connections.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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