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Displaying 1 – 5 of 5

Elementary modules.

Otto Kerner, Frank Lukas (1996)

Mathematische Zeitschrift

Endomorphism algebras of exceptional sequences over path algebras of type ${\tilde{A}}_{n}$

Ibrahim Assem, Yingbo Zhang (1998)

Colloquium Mathematicae

Endomorphism rings of regular modules over wild hereditary algebras

Otto Kerner (2003)

Colloquium Mathematicae

Let H be a connected wild hereditary path algebra. We prove that if Z is a quasi-simple regular brick, and [r]Z indecomposable regular of quasi-length r and with quasi-top Z, then $r a d^{r} E n d_{H} ([r] Z) = 0$ .

Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup

Jon F. Carlson, Nadia Mazza, Jacques Thévenaz (2013)

Journal of the European Mathematical Society

Let $G$ be a finite group with a Sylow 2-subgroup $P$ which is either quaternion or semi-dihedral. Let $k$ be an algebraically closed field of characteristic 2. We prove the existence of exotic endotrivial $k G$ -modules, whose restrictions to $P$ are isomorphic to the direct sum of the known exotic endotrivial $k P$ -modules and some projective modules. This provides a description of the group $T (G)$ of endotrivial $k G$ -modules.

Euclidean components for a class of self-injective algebras

Sarah Scherotzke (2009)

Colloquium Mathematicae

We determine the length of composition series of projective modules of G-transitive algebras with an Auslander-Reiten component of Euclidean tree class. We thereby correct and generalize a result of Farnsteiner [Math. Nachr. 202 (1999)]. Furthermore we show that modules with certain length of composition series are periodic. We apply these results to G-transitive blocks of the universal enveloping algebras of restricted p-Lie algebras and prove that G-transitive principal blocks only allow components...

Currently displaying 1 – 5 of 5

Page 1

Displaying 1 – 5 of 5

Elementary modules.

Endomorphism algebras of exceptional sequences over path algebras of type A ˜ n

Endomorphism rings of regular modules over wild hereditary algebras

Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup

Euclidean components for a class of self-injective algebras

Currently displaying 1 – 5 of 5

Endomorphism algebras of exceptional sequences over path algebras of type ${\tilde{A}}_{n}$