43 citations · 97 across the 17 of their papers we have counts for
9 papers · 1 filter
Exceptional sequences and spherical modules for the Auslander algebra of
Lutz Hille, David Ploog
We classify spherical modules and full exceptional sequences of modules over the Auslander algebra of . We categorify the left and right symmetric group actions on thes…
Algebras and varieties
Edward L. Green, Lutz Hille, Sibylle Schroll
In this paper we introduce new affine algebraic varieties whose points correspond to associative algebras. We show that the algebras within a variety share many important homologic…
Tilting Modules over the Path Algebra of Type A, Polytopes, and Catalan Numbers
Lutz Hille
It is well known that the number of tilting modules over a path algebra of type A_n coincides with the Catalan number C(n). Moreover, the number of support tilting modules of type…
Moduli of Representations, Quiver Grassmannians, and Hilbert Schemes
Lutz Hille
It is a well established fact, that any projective algebraic variety is a moduli space of representations over some finite dimensional algebra. This algebra can be chosen in severa…
On tensor products of path algebras of type A
Lutz Hille, Jürgen Müller
We derive a formula for the Coxeter polynomial of the s-fold tensor product F[A_{n_1-1}] x ... x F[A_{n_s-1}] of path algebras of linearly oriented quivers of Dynkin type A_{n_i-1}…
On the complement of the dense orbit for a quiver of type $\Aa$
Karin Baur, Lutz Hille
Let $\Aa_t$ be the directed quiver of type $\Aa$ with vertices. For each dimension vector there is a dense orbit in the corresponding representation space. The principal ai…