For a symmetrizable GCM $C$ and its symmetrizer $D$, Geiss-Leclerc-Schr\"oer [Invent. Math. 209 (2017)] has introduced a generalized preprojective algebra $\Pi$ associated to $C$ and $D$, that contains a class of modules, called locally free modules. We show that any basic support $\tau$-tilting $\Pi$-module is locally free and gives a classification theorem of torsion-free classes in $\operatorname{\mathbf{rep}}{\Pi}$ as the generalization of the work of Mizuno [Math. Z. 277 (2014)].Comment: 21 page
Let Q be a Dynkin quiver of type A and K be an algebraically closedfield. We start with the preproje...
Let Q be a Dynkin quiver of type A and K be an algebraically closedfield. We start with the preproje...
We prove in full generality that the generalized quantum affine Schur-Weyl duality functor, introduc...
For a symmetrizable GCM C and its symmetrizer D, Geiss-Leclerc-Schr¨oer [Invent. Math. 209 (2017)] h...
In studying the structure of derived categories of module categories of group algebras or their bloc...
This survey article is an expanded version of a series of lectures given at the conference on Advanc...
Using a representation theoretic parameterization for the orbits in the enhanced cyclic nilpotent co...
AbstractWe give a complete classification of the isomorphism classes of the deformed preprojective a...
This is the third in a series of papers which give an explicit description of the reconstruction alg...
This is the third in a series of papers which give an explicit description of the reconstruction alg...
This is the third in a series of papers which give an explicit description of the reconstruction alg...
This is the third in a series of papers which give an explicit description of the reconstruction alg...
This is the third in a series of papers which give an explicit description of the reconstruction alg...
In this article, we prove that induced modules of support $\tau$-tilting modules over blocks of fini...
Fix a simply-laced semisimple Lie algebra. We study the crystal $ B(n\lambda)$, were $\lambda$ is a ...
Let Q be a Dynkin quiver of type A and K be an algebraically closedfield. We start with the preproje...
Let Q be a Dynkin quiver of type A and K be an algebraically closedfield. We start with the preproje...
We prove in full generality that the generalized quantum affine Schur-Weyl duality functor, introduc...
For a symmetrizable GCM C and its symmetrizer D, Geiss-Leclerc-Schr¨oer [Invent. Math. 209 (2017)] h...
In studying the structure of derived categories of module categories of group algebras or their bloc...
This survey article is an expanded version of a series of lectures given at the conference on Advanc...
Using a representation theoretic parameterization for the orbits in the enhanced cyclic nilpotent co...
AbstractWe give a complete classification of the isomorphism classes of the deformed preprojective a...
This is the third in a series of papers which give an explicit description of the reconstruction alg...
This is the third in a series of papers which give an explicit description of the reconstruction alg...
This is the third in a series of papers which give an explicit description of the reconstruction alg...
This is the third in a series of papers which give an explicit description of the reconstruction alg...
This is the third in a series of papers which give an explicit description of the reconstruction alg...
In this article, we prove that induced modules of support $\tau$-tilting modules over blocks of fini...
Fix a simply-laced semisimple Lie algebra. We study the crystal $ B(n\lambda)$, were $\lambda$ is a ...
Let Q be a Dynkin quiver of type A and K be an algebraically closedfield. We start with the preproje...
Let Q be a Dynkin quiver of type A and K be an algebraically closedfield. We start with the preproje...
We prove in full generality that the generalized quantum affine Schur-Weyl duality functor, introduc...