In this paper we establish a one-to-one correspondence between Brauer trees with an
additional structure that we call “pointing” and equivalence classes of tilting complexes of …

In this paper we show that the derived Picard group TrPic (A) of the Brauer star algebra of
type (n, t) is generated by shift, Pic (A) and equivalences {H i} i= 1 n in the case t> 1, where H …

In this paper, we study two-sided tilting complexes of preprojective algebras of Dynkin type.
We construct the most fundamental class of two-sided tilting complexes, which has a group …

We construct an action of a braid group associated to a complete graph on the derived
category of a certain symmetric Nakayama algebra which is also a Brauer star algebra with …

In our preceding paper a generating set of the derived Picard group of a selfinjective
Nakayama algebra was constructed combining some previous results for Brauer tree …

In this paper all two-term tilting complexes over a Brauer tree algebra with multiplicity one
are described using a classification of indecomposable two-term partial tilting complexes …

We introduce a method that produces a bijection between the posets silt− A \bfsilt-A and silt−
B \bfsilt-B formed by the isomorphism classes of basic silting complexes over finite …

Let k be a field and A be a Brauer tree algebra associated with a Brauer tree with possibly
non trivial exceptional vertex. In an earlier joint paper with Raphaël Rouquier we studied …

In this paper, all two-term tilting complexes over a Brauer tree algebra with multiplicity one
are described, using a classification of indecomposable two-term partial tilting complexes …

In this paper we show that the derived Picard group $ TrPic (A) $ of the Brauer star algebra
of type $(n, t) $ is generated by shift, $ Pic (A) $ and equivalences $\{H_i\} _ {i= 1}^ n $ in the …