Lorentz groups of cyclotomic extensions
Vadim Schechtman
TL;DR
This paper explores the connection between Lorentz groups, cyclotomic extensions, and classical algebraic sequences, revealing a unified perspective rooted in relativistic velocity addition.
Contribution
It introduces a novel interpretation of Kummer-Artin-Schreier sequences through the relativistic velocity addition law, linking algebraic and physical concepts.
Findings
Unified Kummer-Artin-Schreier sequence derived from relativistic velocity law
Historical perspective on Lorentz groups and cyclotomic extensions
New algebraic interpretation of relativistic velocity addition
Abstract
In this (mostly historical) note we show how a unified Kummer-Artin-Schreier sequence from [W], [SOS] may be recovered from the relativistic velocity addition law.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory