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math.RT2010
PBW filtration and bases for symplectic Lie algebras
Evgeny Feigin, Ghislain Fourier, Peter Littelmann
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 desc…
math.RT2010
Systems of correlation functions, coinvariants and the Verlinde algebra
Evgeny Feigin
We study the Gaberdiel-Goddard spaces of systems of correlation functions attached to an affine Kac-Moody Lie algebra $\gh$. We prove that these spaces are isomorphic to the spaces…
math.RT2010★ 8 cited
PBW filtration and bases for irreducible modules in type
Evgeny Feigin, Ghislain Fourier, Peter Littelmann
We study the PBW filtration on the highest weight representations $V(\la)$ of $\msl_{n+1}$. This filtration is induced by the standard degree filtration on $U(\n^-)$. We give a des…