The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties
J. Weyman (1998)
Colloquium Mathematicae
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J. Weyman (1998)
Colloquium Mathematicae
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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...
Teresa Fernandes (1996)
Banach Center Publications
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Stroppel, Catharina (2003)
Journal of Lie Theory
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Sreekar M. Shastry (2007)
Annales de l’institut Fourier
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We study the integral model of the Drinfeld modular curve for a prime . A function field analogue of the theory of Igusa curves is introduced to describe its reduction mod . A result describing the universal deformation ring of a pair consisting of a supersingular Drinfeld module and a point of order in terms of the Hasse invariant of that Drinfeld module is proved. We then apply Jung-Hirzebruch resolution for arithmetic surfaces to produce a regular model of which, after contractions...
Feigin, Evgeny (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Frank, Michael, Manuilov, Vladimir, Troitsky, Evgenij (2010)
The New York Journal of Mathematics [electronic only]
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Grzegorz Zwara (1997)
Colloquium Mathematicae
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