Remarks on central extensions of the Galilei group in 2+1 dimensions
Y.Brihaye, S.Giller, C.Gonera, P.Kosinski
TL;DR
This paper explores the properties and isomorphisms of central extensions of the 2+1 dimensional Galilei group, offering interpretations of new cocycles and discussing their mathematical significance.
Contribution
It identifies isomorphic families of central extensions and provides an interpretation of a new nontrivial cocycle in the context of the Galilei group.
Findings
Certain families of extensions are isomorphic
A new nontrivial cocycle is interpreted
The paper discusses properties of central extensions in 2+1 dimensions
Abstract
Some properties of central extensions of 2+1 dimensional Galilei group are discussed. It is shown that certain families of extensions are isomorphic. An interpretation of new nontrivial cocycle is offered. A few bibliographical remarks are included.
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Taxonomy
TopicsRelativity and Gravitational Theory · Mathematics and Applications · History and Theory of Mathematics