3 citations · 5 across the 3 of their papers we have counts for
6 papers
Quiver varieties and Lusztig's algebra
Anton Malkin, Victor Ostrik, Maxim Vybornov
We study preprojective algebras of graphs and their relationship to module categories over representations of quantum SL(2). As an application, ADE quiver varieties of Nakajima are…
The minimal degeneration singularities in the affine Grassmannians
Anton Malkin, Viktor Ostrik, Maxim Vybornov
The minimal degeneration singularities in the affine Grassmannians of simple simply-laced algebraic groups are determined to be either Kleinian singularities of type A, or closures…
Quiver varieties, affine Lie algebras, algebras of BPS states, and semicanonical basis
Igor Frenkel, Anton Malkin, Maxim Vybornov
We suggest a (conjectural) construction of a basis in the plus part of the affine Lie algebra of type ADE indexed by irreducible components of certain quiver varieties. This constr…
A generalization of Hall polynomials to ADE case
Anton Malkin
Certain computable polynomials are described whose leading coefficients are equal to multiplicities in the tensor product decomposition for representations of a Lie algebra of ADE…
Tensor product varieties and crystals. ADE case
Anton Malkin
Let g be a simple simply laced Lie algebra. In this paper two families of varieties associated to the Dynkin graph of g are described: ``tensor product'' and ``multiplicity'' varie…
Affine Lie Algebras and Tame Quivers
Igor Frenkel, Anton Malkin, Maxim Vybornov
C.M. Ringel defined Hall algebra associated with the category of representations of a quiver of Dynkin type and gave an explicit description of the structure constants of the corre…