Concept information
Preferred term
Hall algebra
Definition(s)
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In mathematics, the Hall algebra is an associative algebra with a basis corresponding to isomorphism classes of finite abelian p-groups. It was first discussed by Steinitz (1901) but forgotten until it was rediscovered by Philip Hall (1959), both of whom published no more than brief summaries of their work. The Hall polynomials are the structure constants of the Hall algebra. The Hall algebra plays an important role in the theory of Masaki Kashiwara and George Lusztig regarding canonical bases in quantum groups. Ringel (1990) generalized Hall algebras to more general categories, such as the category of representations of a quiver.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hall_algebra)
Broader concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-FZZ865TN-H
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