Hilbert pairing on Lorentz formal groups

Research output

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)117-121
Number of pages5
JournalVestnik St. Petersburg University: Mathematics
Volume50
Issue number2
DOIs
Publication statusPublished - 1 Apr 2017

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Formal Group
Lorentz Group
Pairing
Hilbert
Local Field
Ring
Integer
Invariance
Unit
Series

Scopus subject areas

  • Mathematics(all)

Cite this

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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.",
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