Foliation: Difference between revisions

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In [[mathematics]], an '''anyonic [[Lie algebra]]''' is a ''U''(1) [[graded vector space]] <math>L</math> over <math>\mathbb{C}</math> equipped with a [[bilinear operator]] <math>[-,-]</math> and [[linear]] [[map (mathematics)|map]]s <math>\varepsilon\colon L\to\mathbb{C}</math> and <math>\Delta\colon L \to L\otimes L</math> satisfying
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:<math>\varepsilon([X,Y]) = \varepsilon(X)\varepsilon(Y)</math>
 
for pure graded [[pure element|element]]s ''X'', ''Y'', and ''Z''.
 
==See also==
*[[Lie algebra]]
*[[Anyon]]
 
==References==
{{unreferenced|date=June 2008}}
 
[[Category:Vector spaces]]
[[Category:Lie algebras]]
 
 
{{algebra-stub}}

Revision as of 08:57, 25 February 2014

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