The 3-state Potts model and Rogers-Ramanujan series

Alex Feingold; Antun Milas

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A note on tilting sequences

Clezio Braga, Flávio Coelho (2008)

Open Mathematics

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We discuss the existence of tilting modules which are direct limits of finitely generated tilting modules over tilted algebras.

Tensor product of endo-permutation modules.

Alghamdi, Ahmad M., Makki, Makkiah S. (2010)

Acta Universitatis Apulensis. Mathematics - Informatics

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The supports of simple modules over toroidal algebras.

Mazorchuk, Volodymyr (1999)

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The Ziegler spectrum of a tame hereditary algebra

Claus Ringel (1998)

Colloquium Mathematicae

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A construction of some ideals in affine vertex algebras.

Adamović, Dražen (2003)

International Journal of Mathematics and Mathematical Sciences

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Classification of irreducible weight modules

Olivier Mathieu (2000)

Annales de l'institut Fourier

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Let $𝔤$ be a reductive Lie algebra and let $𝔥$ be a Cartan subalgebra. A $𝔤$ -module $M$ is called a if and only if $M = \oplus_{λ} M_{λ}$ , where each weight space $M_{λ}$ is finite dimensional. The main result of the paper is the classification of all simple weight $𝔤$ -modules. Further, we show that their characters can be deduced from characters of simple modules in category $𝒪$ .

Characters of the irreducible highest weight modules over the virasoro and super-virasoro algebras

Dobrev, V. K.

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Modular representations of Loewy length two.

Charkani, M.E., Bouhamidi, S. (2003)

International Journal of Mathematics and Mathematical Sciences

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Band combinatorics of domestic string algebras

Gena Puninski (2007)

Colloquium Mathematicae

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We prove that the multiplicity of a simple module as a composition factor in a composition series for a primitive band module over a domestic string algebra is at most two.