By David J. Benson, Henning Krause, Andrzej Skowronski

ISBN-10: 3037191252

ISBN-13: 9783037191255

This quantity offers a set of articles dedicated to representations of algebras and comparable issues. Dististinguished specialists during this box awarded their paintings on the overseas convention on Representations of Algebras which came about 2012 in Bielefeld. some of the expository surveys are incorporated right here. Researchers of illustration concept will locate during this quantity fascinating and stimulating contributions to the advance of the topic.

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**Extra info for Advances in Representation Theory of Algebras**

**Example text**

0 , and decomposable if after a change of basis the matrices have the form 0 • Suppose that k has characteristic 0 or characteristic not dividing jGj. Then every invariant subspace has an invariant complement. Thus every reducible representation is decomposable; • In particular, it follows that every representation is a direct sum of irreducible representations (Maschke’s theorem). • On the other hand, if k has characteristic p dividing jGj then there exist reducible representations that are indecomposable.

Math. Soc. 354 (2002), 4345–4358. [15] M. Auslander and I. Reiten, Applications of contravariantly finite subcategories. Adv. Math. 86 (1991), 111–152. [16] S. Bazzoni, Cotilting modules are pure-injective. Proc. Amer. Math. Soc. 131 (2003), 3665– 3672. [17] S. Bazzoni, Cotilting and tilting modules over Pruefer domains. Forum Math. 19 (2007), 1005–1027. [18] S. Bazzoni, A characterization of n-cotilting and n-tilting modules. J. Algebra 273 (2004), 359–372. 34 L. Angeleri Hügel [19] S. Bazzoni, When are definable classes tilting and cotilting classes?

Matlis, 1-dimensional Cohen-Macaulay rings. Lecture Notes Math. 327, Springer, Berlin 1973. [73] F. Marks, Universal localisations and tilting modules for finite dimensional algebras. In preparation. [74] Y. Miyashita, Tilting modules of finite projective dimension. Math. Z. 193 (1986), 113–146. [75] P. Nicolás and M. Saorín, Generalized tilting theory. RT]. [76] F. Okoh, Cotorsion modules over tame finite-dimensional hereditary algebras. In Representations of algebras. Lecture Notes in Math. 903, Springer, Berlin 1980, 263–269.

### Advances in Representation Theory of Algebras by David J. Benson, Henning Krause, Andrzej Skowronski

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