We show that among the derived equivalent classes of homologically smooth and proper
graded gentle algebras there is only one class whose perfect derived category does not …

We formulate a simple model for the bounded derived category of gentle algebras in terms
of marked ribbon graphs and their walks, in order to analyze indecomposable objects …

We investigate maximal tori in the Hochschild cohomology Lie algebra of a finite
dimensional algebra, and their connection with the fundamental groups associated to …

For an arbitrary finite-dimensional algebra $ A $, we introduce a general approach to
determining when its first Hochschild cohomology $\mathrm {HH}^ 1 (A) $, considered as a …

The Tate–Shafarevich set of a group G defined by Takashi Ono coincides, in the case where
G is finite, with the group of outer class-preserving automorphisms of G introduced by …

Nontriviality of the first Hochschild cohomology of some block algebras of finite groups -
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In this work, we introduce a new class of algebras called skew-Brauer graph algebras, which
generalize the well-known Brauer graph algebras. We establish that skew-Brauer graph …

Let 𝐺 be one of the sporadic simple Mathieu groups M 11, M 12, M 22, M 23 or M 24, and
suppose 𝑘 is an algebraically closed field of prime characteristic 𝑝, dividing the order of 𝐺 …

In this paper we study sufficient conditions for the solvability of the first Hochschild
cohomology of a finite dimensional algebra as a Lie algebra in terms of its Ext-quiver in …

The Nonvanishing First Hochschild Cohomology of Twisted Finite Simple Group Algebras
Page 1 Algebras and Representation Theory https://doi.org/10.1007/s10468-022-10195-6 The …