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Hilbert pairing on Lorentz formal groups. / Vostokov, S. V.; Pital’, P. N.

In: Vestnik St. Petersburg University: Mathematics, Vol. 50, No. 2, 01.04.2017, p. 117-121.

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

Harvard

Vostokov, SV & Pital’, PN 2017, 'Hilbert pairing on Lorentz formal groups', Vestnik St. Petersburg University: Mathematics, vol. 50, no. 2, pp. 117-121. https://doi.org/10.3103/S1063454117020145

APA

Vostokov, S. V., & Pital’, P. N. (2017). Hilbert pairing on Lorentz formal groups. Vestnik St. Petersburg University: Mathematics, 50(2), 117-121. https://doi.org/10.3103/S1063454117020145

Vancouver

Vostokov SV, Pital’ PN. Hilbert pairing on Lorentz formal groups. Vestnik St. Petersburg University: Mathematics. 2017 Apr 1;50(2):117-121. https://doi.org/10.3103/S1063454117020145

Author

Vostokov, S. V. ; Pital’, P. N. / Hilbert pairing on Lorentz formal groups. In: Vestnik St. Petersburg University: Mathematics. 2017 ; Vol. 50, No. 2. pp. 117-121.

BibTeX

@article{7d1bdff9a2f1459591adf2dc366eaffa,
title = "Hilbert pairing on Lorentz formal groups",
abstract = "In this paper, we construct an explicit pairing in Cartier series for formal Lorentz groups of the form (X + Y + XY)/(1 + c2XY), where c is a unit of the ring of integers of the local field. We prove the basic properties of this pairing, namely, bilinearity and invariance, which make it possible to explicitly construct the generalized Hilbert symbol for formal Lorentz groups over rings of integers of local fields with the use of the obtained pairing.",
keywords = "formal group law, pairing on formal module",
author = "Vostokov, {S. V.} and Pital{\textquoteright}, {P. N.}",
year = "2017",
month = apr,
day = "1",
doi = "10.3103/S1063454117020145",
language = "English",
volume = "50",
pages = "117--121",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - Hilbert pairing on Lorentz formal groups

AU - Vostokov, S. V.

AU - Pital’, P. N.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - In this paper, we construct an explicit pairing in Cartier series for formal Lorentz groups of the form (X + Y + XY)/(1 + c2XY), where c is a unit of the ring of integers of the local field. We prove the basic properties of this pairing, namely, bilinearity and invariance, which make it possible to explicitly construct the generalized Hilbert symbol for formal Lorentz groups over rings of integers of local fields with the use of the obtained pairing.

AB - In this paper, we construct an explicit pairing in Cartier series for formal Lorentz groups of the form (X + Y + XY)/(1 + c2XY), where c is a unit of the ring of integers of the local field. We prove the basic properties of this pairing, namely, bilinearity and invariance, which make it possible to explicitly construct the generalized Hilbert symbol for formal Lorentz groups over rings of integers of local fields with the use of the obtained pairing.

KW - formal group law

KW - pairing on formal module

UR - http://www.scopus.com/inward/record.url?scp=85021925962&partnerID=8YFLogxK

U2 - 10.3103/S1063454117020145

DO - 10.3103/S1063454117020145

M3 - Article

AN - SCOPUS:85021925962

VL - 50

SP - 117

EP - 121

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 2

ER -

ID: 38481008