@article{50ec1f542cde4dc9bbae6ad0ec690f14,
title = "PBW filtration and bases for symplectic lie algebras",
abstract = "We study the PBW filtration on the highest weight representations V (λ) of sp2n. This filtration is induced by the standard degree filtration on U(n-). We give a description of the associated graded S(n-)-module grV(λ) in terms of generators and relations. We also construct a basis of grV(λ). As an application we derive a graded combinatorial formula for the character of V(λ) and obtain a new class of bases of the modules V(λ).",
author = "Evgeny Feigin and Ghislain Fourier and Peter Littelmann",
note = "Funding Information: This work was partially supported by the Russian President Grant MK-281.2009.1, the RFBR Grants 09-01-00058 and NSh-3472.2008.2, by Pierre Deligne fund based on his 2004 Balzan prize in mathematics (to E.F.) and was partially supported by the DFG project “Kombinatorische Beschrei-bung von Macdonald und Kostka-Foulkes Polynomen” (to G.F.). This work was also partially supported by the priority program SPP 1388 of the German Science Foundation (to P.L.).",
year = "2011",
month = jan,
day = "1",
doi = "10.1093/imrn/rnr014",
language = "אנגלית",
volume = "2011",
pages = "5760--5784",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "24",
}