On the Bernstein-Gelfand-Gelfand resolution for Kac-Moody algebras and quantized enveloping algebras

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A Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras and arbitrary subsets of the set of simple roots is proven. Moreover, quantum group analogs of the Bernstein-Gelfand-Gelfand resolution for symmetrizable Kac-Moody algebras are established. For quantized enveloping algebras with fixed complex nonzero deformation parameter q exactness is proven for all q which are not a root of unity.
12 pages

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Quantum Algebra, 17B67; 17B37

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http://salesiana.dossiersoluciones.com/handle/123456789/112830

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605460
 http://arxiv.org/abs/math/0605460

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arXiv