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.
|Title of host publication||Symmetries, Integrable Systems and Representations|
|Publisher||Springer New York LLC|
|Number of pages||29|
|Publication status||Published - 2013|
|Name||Springer Proceedings in Mathematics and Statistics|