On some modular representations of affine Kac-Moody algebras at the critical level
Olivier Mathieu (1996)
Compositio Mathematica
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Olivier Mathieu (1996)
Compositio Mathematica
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Alex Feingold, Antun Milas (2013)
Open Mathematics
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We explain the appearance of Rogers-Ramanujan series inside the tensor product of two basic A 2(2) -modules, previously discovered by the first author in [Feingold A.J., Some applications of vertex operators to Kac-Moody algebras, In: Vertex Operators in Mathematics and Physics, Berkeley, November 10–17, 1983, Math. Sci. Res. Inst. Publ., 3, Springer, New York, 1985, 185–206]. The key new ingredients are (5,6)Virasoro minimal models and twisted modules for the Zamolodchikov W 3-algebra. ...
F. Malikow (1990)
Mathematica Scandinavica
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Vyjayanthi Chari, Andrew Pressley (1987)
Mathematische Annalen
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Mazorchuk, Volodymyr (1999)
Journal of Lie Theory
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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....
I. G. MacDonald (1980-1981)
Séminaire Bourbaki
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