On some modular representations of affine Kac-Moody algebras at the critical level

Olivier Mathieu

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Affine Lie algebras and modular forms

I. G. MacDonald (1980-1981)

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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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The supports of simple modules over toroidal algebras.

Mazorchuk, Volodymyr (1999)

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On certain class of unitarizable representations of the Lie algebra $u (p, q)$

Molev, A. I.

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On representations of restricted Lie superalgebras

Yu-Feng Yao (2014)

Czechoslovak Mathematical Journal

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Simple modules for restricted Lie superalgebras are studied. The indecomposability of baby Kac modules and baby Verma modules is proved in some situation. In particular, for the classical Lie superalgebra of type $A (n | 0)$ , the baby Verma modules $Z_{χ} (λ)$ are proved to be simple for any regular nilpotent $p$ -character $χ$ and typical weight $λ$ . Moreover, we obtain the dimension formulas for projective covers of simple modules with $p$ -characters of standard Levi form.

A new Family of Irreducible, Integrable Modules for Affine Lie Algebras.

Vyjayanthi Chari, Andrew Pressley (1987)

Mathematische Annalen

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Displaying similar documents to “On some modular representations of affine Kac-Moody algebras at the critical level”

Affine Lie algebras and modular forms

A construction of some ideals in affine vertex algebras.

The supports of simple modules over toroidal algebras.

On certain class of unitarizable representations of the Lie algebra u ( p , q )

On representations of restricted Lie superalgebras

A new Family of Irreducible, Integrable Modules for Affine Lie Algebras.

On certain class of unitarizable representations of the Lie algebra $u (p, q)$