67 citations · 211 across the 30 of their papers we have counts for
15 papers · 1 filter
Bases of tensor products and geometric Satake correspondence
Pierre Baumann, Stéphane Gaussent, Peter Littelmann
The geometric Satake correspondence can be regarded as a geometric construction of the rational representations of a complex connected reductive group G. In their study of this cor…
Degenerate flag varieties and Schubert varieties: a characteristic free approach
Giovanni Cerulli Irelli, Martina Lanini, Peter Littelmann
We consider the PBW filtrations over the integers of the irreducible highest weight modules in type A and C. We show that the associated graded modules can be realized as Demazure…
Fusion products and toroidal algebras
Deniz Kus, Peter Littelmann
We study the category of finite--dimensional bi--graded representations of toroidal current algebras associated to finite--dimensional complex simple Lie algebras. Using the theory…
Knuth relations, tableaux and MV-cycles
Stéphane Gaussent, Peter Littelmann, An Hoa Nguyen
We give a geometric interpretation of the Knuth equivalence relations in terms of the affine Graß mann variety. The Young tableaux are seen as sequences of coweights, called galler…
PBW--filtration over $\bz$ and compatible bases for $V_\bz(\la)$ in type and
Evgeny Feigin, Ghislain Fourier, Peter Littelmann
We study the PBW-filtration on the highest weight representations $V(\la)$ of the Lie algebras of type and . This filtration is induced by the standard d…
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…