We introduce some new algebraic structures arising naturally in the geometry of Calabi-Yau
manifolds and mirror symmetry. We give a universal construction of Calabi-Yau algebras in …

It is possible to associate a topological space to the category of modules over any ring. This
space, the Ziegler spectrum, is based on the indecomposable pure-injective modules …

0. Introduction. Let K be an algebraically closed field of characteristic zero and let F be a
nontrivial finite subgroup of SL2 (K). Deformations of the Kleinian singularity K2/F have been …

Let G be a simple, simply connected algebraic group over C, g= Lie G, N (g) the nilpotent
cone of g, and (E, H, F) an sl 2-triple in g. Let S= E+ Ker ad F, the special transverse slice to …

A bstract It was recently shown that multi-point conformal blocks in higher dimensional
conformal field theory can be considered as joint eigenfunctions for a system of commuting …

The algebra generated by the down and up operators on a differential or uniform partially
ordered set (poset) encodes essential enumerative and structural properties of the poset …

We present solutions to isomorphism problems for various generalized Weyl algebras,
including deformations of type-A Kleinian singularities and the algebras similar to $ U …

HARISH-CHANDRA BIMODULES FOR QUANTIZED SLODOWY SLICES 1. Geometry of
Slodowy slices 1.1. Introduction. Let 𝔤 be a semisimple Page 1 REPRESENTATION THEORY An …

We consider a Dedekind domainDand aZ-graded ringR=;⊕ i∈ ZR iwithR0= Dand eachRi=
Dvibeing a freeD-module of rank 1. The structure ofRis described by an automorphism …

If $ G $ is a reductive algebraic group acting rationally on a smooth affine variety $ X $, then
it is generally believed that $ D (X) $ has properties very similar to those of enveloping …