Infinite dimensional Lie algebras: representations and applications
Goddard, P.
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Displaying similar documents to “Kac-Moody algebras: An introduction for physicists”
Infinite dimensional Lie algebras: representations and applications
The intertwining of affine Kac-Moody and current algebras
Lochlainn O'Raifeartaigh (1998)
Publications Mathématiques de l'IHÉS
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Affine Lie algebras and modular forms
I. G. MacDonald (1980-1981)
Séminaire Bourbaki
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On the combinatorics of Kac's asymmetry function
R. M. Green (2010)
Commentationes Mathematicae Universitatis Carolinae
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We use categories to recast the combinatorial theory of full heaps, which are certain labelled partially ordered sets that we introduced in previous work. This gives rise to a far simpler set of definitions, which we use to outline a combinatorial construction of the so-called loop algebras associated to affine untwisted Kac--Moody algebras. The finite convex subsets of full heaps are equipped with a statistic called parity, and this naturally gives rise to Kac's asymmetry function....