A character approach to Looijenga's invariant theory for generalized root systems
A construction of some ideals in affine vertex algebras.
A Hyperbolic Kac-Moody Algebra and the Theory of Siegel Modular Forms of Genus 2.
A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras.
Algebraic loop groups and moduli spaces of bundles
We study algebraic loop groups and affine Grassmannians in positive characteristic. The main results are normality of Schubert-varieties, the construction of line-bundles on the affine Grassmannian, and the proof that they induce line-bundles on the moduli-stack of torsors.
Almost-graded central extensions of Lax operator algebras
Lax operator algebras constitute a new class of infinite dimensional Lie algebras of geometric origin. More precisely, they are algebras of matrices whose entries are meromorphic functions on a compact Riemann surface. They generalize classical current algebras and current algebras of Krichever-Novikov type. Lax operators for 𝔤𝔩(n), with the spectral parameter on a Riemann surface, were introduced by Krichever. In joint works of Krichever and Sheinman their algebraic structure was revealed and...
An equivalence between categories of modules for generalized Kac-Moody Lie algebras.
An Equivalence of Fusion Categories.
Arrangements of hyperplanes and Lie algebra homology.
Automorphic forms on Os + 2,2(R) and infinte products.