We give dual one-sided tilting complexes producing inverse equivalences of the derived
category of a Brauer star algebra and a Brauer tree algebra of the same type, folded …

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 modular representation theory, the Brauer star algebras play a very special role, being the
“local” blocks corresponding under the Brauer correspondence to the “global” blocks of a …

ABSTRACT The Donald–Flanigan conjecture asserts that any group algebra of a finite
group has a separable deformation. We apply an inductive method to deform group …

The modular version of Maschke’s theorem for normal abelian p-Sylows Page 1 JOURNAL OF
PURE AND ELSEVIER Journal of Pure and Applied Algebra 108 (1996) 257-264 APPLIED …

The Donald-Flanigan conjecture asserts that any group algebra of a finite group has a
separable deformation. We apply an inductive method to deform group algebras from …

It was shown in earlier work that every Brauer tree algebra of type (e, m) can be reached
from the Brauer star algebra of type (e, m) by a two-restricted tilting complex, ie, a complex …

The Donald–Flanigan conjecture asserts that the integral group ring $\mathbb {Z} G $ of a
finite group $ G $ can be deformed to an algebra $ A $ over the power series ring $\mathbb …

We consider the effect of performing an elementary equivalence as defined by Okuyama on
a group block of form $ F (C_p\times C_p)\rtimes C_r $, for a field $ F $ of characteristic $ p …

The group algebras k⁢ Q 2 n of the generalized quaternion groups Q 2 n over fields k which
contain 𝔽 2 n-2 are deformed to separable k⁢((t))-algebras [k⁢ Q 2 n] t. The dimensions of …