@inproceedings{eb0ee8d56ca143f59aacbf20af758687,
title = "Pbw-filtration over z and compatible bases for vℤ(λ) in type an and cn",
abstract = "We study the PBW-filtration on the highest weight representations V (λ) of the Lie algebras of type An and Cn. 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.",
author = "Evgeny Feigin and Ghislain Fourier and Peter Littelmann",
note = "Funding Information: The work of Evgeny Feigin was partially supported by the Russian President Grant MK-3312.2012.1, by the Dynasty Foundation, by the AG Laboratory HSE, RF government grant, ag. 11.G34.31.0023, by the RFBR grants 12-01-00070, 12-01-00944, 12-01-33101 and by the Russian Ministry of Education and Science under the grant 2012-1.1-12-000-1011-016. Funding Information: The work of Ghislain Fourier and Peter Littelmann was partially supported by the priority program {\textquoteleft}Representation Theory{\textquoteright} SPP 1388 of the German Science Foundation.",
year = "2013",
doi = "https://doi.org/10.1007/978-1-4471-4863-0_3",
language = "الإنجليزيّة",
isbn = "9781447148623",
series = "Springer Proceedings in Mathematics and Statistics",
pages = "35--63",
booktitle = "Symmetries, Integrable Systems and Representations",
}