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Anglický jazyk
The Representation Type of the I-Blocks of Category O_S
Autor: Kenyon Platt
Let g be a simple Lie algebra over the field C of complex numbers, with root system F relative to a fixed maximal toral subalgebra h. Let S be a subset of the simple roots ¿ of F, which determines a standard parabolic subalgebra of g. Fix an integral weight... Viac o knihe
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O knihe
Let g be a simple Lie algebra over the field C of complex numbers, with root system F relative to a fixed maximal toral subalgebra h. Let S be a subset of the simple roots ¿ of F, which determines a standard parabolic subalgebra of g. Fix an integral weight µ in h*, with singular set J of simple roots. We determine when an infinitesimal block O(g, S, J) of parabolic category O_S is nonzero using the theory of nilpotent orbits. We extend work of Futorny-Nakano-Pollack, Brüstle-König-Mazorchuk, and Boe-Nakano toward classifying the representation type of the nonzero infinitesimal blocks of category O_S by considering arbitrary sets S and J, and observe a strong connection between the theory of nilpotent orbits and the representation type of the infinitesimal blocks. We classify certain infinitesimal blocks of category O_S including all the semisimple infinitesimal blocks in type An, and all of the infinitesimal blocks for F4 and G2.
- Vydavateľstvo: LAP LAMBERT Academic Publishing
- Rok vydania: 2011
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9783845419831
