Local smooth conjugations of Frobenius endomorphisms

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Local smooth conjugations of Frobenius endomorphisms. / Кальницкий, Вячеслав Степанович ; Петров, Андрей Николаевич.

In: Journal of Mathematical Sciences, Vol. 251, No. 4, 12.2020, p. 503-511.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{d2bd21535fd943acb72c466bae506a1b,

title = "Local smooth conjugations of Frobenius endomorphisms",

abstract = "A generalization of the B{\"o}ttcher equation is considered. It turned out that the parametrized Poisson integral, as a function of its parameters, satisfies an equation of the type described. The structure theorem for splitting maps of Frobenius endomorphisms in a ring and in an algebra over it is proved. The real field case is considered. The generalized B{\"o}ttcher equation is solved for classical two-dimensional algebras and for the Poisson algebra.",

author = "Кальницкий, {Вячеслав Степанович} and Петров, {Андрей Николаевич}",

year = "2020",

month = dec,

doi = "10.1007/s10958-020-05109-0",

language = "English",

volume = "251",

pages = "503--511",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "4",

}

RIS

TY - JOUR

T1 - Local smooth conjugations of Frobenius endomorphisms

AU - Кальницкий, Вячеслав Степанович

AU - Петров, Андрей Николаевич

PY - 2020/12

Y1 - 2020/12

N2 - A generalization of the Böttcher equation is considered. It turned out that the parametrized Poisson integral, as a function of its parameters, satisfies an equation of the type described. The structure theorem for splitting maps of Frobenius endomorphisms in a ring and in an algebra over it is proved. The real field case is considered. The generalized Böttcher equation is solved for classical two-dimensional algebras and for the Poisson algebra.

AB - A generalization of the Böttcher equation is considered. It turned out that the parametrized Poisson integral, as a function of its parameters, satisfies an equation of the type described. The structure theorem for splitting maps of Frobenius endomorphisms in a ring and in an algebra over it is proved. The real field case is considered. The generalized Böttcher equation is solved for classical two-dimensional algebras and for the Poisson algebra.

UR - http://www.scopus.com/inward/record.url?scp=85095694014&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/a4ee3f8d-8394-30b3-a717-292f0bfae553/

U2 - 10.1007/s10958-020-05109-0

DO - 10.1007/s10958-020-05109-0

M3 - Article

VL - 251

SP - 503

EP - 511

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 70587425