Mathematics – Representation Theory
Scientific paper
2010-10-12
Mathematics
Representation Theory
21 pages
Scientific paper
We study the PBW filtration on the highest weight representations $V(\la)$ of $\msp_{2n}$. This filtration is induced by the standard degree filtration on $U(\n^-)$. We give a description of the associated graded $S(\n^-)$-module $gr V(\la)$ in terms of generators and relations. We also construct a basis of $gr V(\la)$. As an application we derive a graded combinatorial formula for the character of $V(\la)$ and obtain a new class of bases of the modules $V(\la)$.
Feigin Evgeny
Fourier Ghislain
Littelmann Peter
No associations
LandOfFree
PBW filtration and bases for symplectic Lie algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with PBW filtration and bases for symplectic Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and PBW filtration and bases for symplectic Lie algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-608228