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Irish Mathematical Society Bulletin
Article
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Irish Mathematical Society Bulletin
Article . 2006 . Peer-reviewed
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https://dx.doi.org/10.33232/bi...
Other literature type
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Quaternion Algebras and the Algebraic Legacy of Hamilton's Quaternions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2006 English Publisher:Maynooth UniversityJournal:Irish Mathematical Society Bulletin, volume 57, pages 41-64 (issn: 0791-5578, Copyright policy )Publicly funded
Authors: David W. Lewis;

doi: 10.33232/bims.0057.41.64

Quaternion Algebras and the Algebraic Legacy of Hamilton's Quaternions

Abstract

We describe the basic definitions and fundamen- tal properties of quaternion algebras over fields and proceed to give an account of how Hamilton's 1843 discovery of the quaternions was a major turning point in the subject of al- gebra. Noncommutative algebra started here! We will em- phasize especially the theory of division algebras and other kinds of algebras which emanated from this discovery.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
18
Top 10%
Top 10%
Average
gold