Feigin, E., Fourier, G. and Littelmann, P. (2013) PBW-filtration over ℤ and compatible bases for Vℤ(λ) in type An and Cn. In: Symmetries, Integrable Systems and Representations, Université Claude Bernard Lyon 1, Lyon, France, 13-16 Dec 2011, pp. 35-63. (doi: 10.1007/978-1-4471-4863-0_3)
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Publisher's URL: http://dx.doi.org/10.1007/978-1-4471-4863-0_3
Abstract
We study the PBW-filtration on the highest weight representations V(λ) of the Lie algebras of type A n and C n. This filtration is induced by the standard degree filtration on U(n−). In previous papers, the authors studied the filtration and the associated graded algebras and modules over the complex numbers. The aim of this paper is to present a proof of the results which holds over the integers and hence makes the whole construction available over any field.
| Item Type: | Conference Proceedings |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Fourier, Dr Ghislain |
| Authors: | Feigin, E., Fourier, G., and Littelmann, P. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Publisher: | Springer, Heidelberg |
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