The PBW filtration, Demazure modules and toroidal current algebras.
Feigin, Evgeny (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Feigin, Evgeny (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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J. Weyman (1998)
Colloquium Mathematicae
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Grzegorz Zwara (1997)
Colloquium Mathematicae
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Frank, Michael, Manuilov, Vladimir, Troitsky, Evgenij (2010)
The New York Journal of Mathematics [electronic only]
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Stroppel, Catharina (2003)
Journal of Lie Theory
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Andrzej Skowroński, Grzegorz Zwara (1997)
Colloquium Mathematicae
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Andrzej Skowroński (2003)
Open Mathematics
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Let A be an artin algebra over a commutative artin ring R and ind A the category of indecomposable finitely generated right A-modules. Denote to be the full subcategory of ind A formed by the modules X whose all predecessors in ind A have projective dimension at most one, and by the full subcategory of ind A formed by the modules X whose all successors in ind A have injective dimension at most one. Recently, two classes of artin algebras A with co-finite in ind A, quasi-tilted...
Ivan Penkov, Vera Serganova (2012)
Annales de l’institut Fourier
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Let be a complex reductive Lie algebra and be any reductive in subalgebra. We call a -module bounded if the -multiplicities of are uniformly bounded. In this paper we initiate a general study of simple bounded -modules. We prove a strong necessary condition for a subalgebra to be bounded (Corollary 4.6), to admit an infinite-dimensional simple bounded -module, and then establish a sufficient condition for a subalgebra to be bounded (Theorem 5.1). As a result we are...
Grzegorz Zwara (1998)
Colloquium Mathematicae
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Klaus Roggenkamp (1999)
Colloquium Mathematicae
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For a split graph order ℒ over a complete local regular domain of dimension 2 the indecomposable Cohen-Macaulay modules decompose - up to irreducible projectives - into a union of the indecomposable Cohen-Macaulay modules over graph orders of type •—• . There, the Cohen-Macaulay modules filtered by irreducible Cohen-Macaulay modules are in bijection to the homomorphisms under the bi-action of the groups , where for a prime π. This problem strongly depends on the nature of . If...