Bibliography: p. 54-58.
|Series||Monografías del Instituto de Matemáticas ;, 14|
|LC Classifications||QA251.5 .W37 1983|
|The Physical Object|
|Pagination||58 p. :|
|Number of Pages||58|
|LC Control Number||84231722|
H. Kupisch, Quasi-Frobenius-Algebras of finite representation type, Lecture Notes in Mathematics No. , –, Springer-Verlag, New York/Berlin, zbMATH Google Scholar (13). I. Reiten, Stable equivalence of self-injective algebras, a 40 (), 63–Cited by: SELFINJECTIVE ALGEBRAS: FINITE AND TAME TYPE Andrzej Skowro´nski (Quer´etaro, August ) SELFINJECTIVE ALGEBRAS OF POLYNOMIAL GROWTH nonstandard algebras Representation theory of tame standard selﬁnjective algebras can be reduced to the. Introdution Preliminaries MainTHEOREM Theorem ProofofthemainTHEOREM Selﬁnjectivealgebraswithdeformingideals ProofoftheMainTHEOREM Onselﬁnjectivealgebras. GABRIEL, P.: Christine Riedtmann and the selfinjective algebras of finite representation type, in Ring Theory, Proceedings of the Antwerp Conference, –, Marcel Dekker, New York Google ScholarCited by:
In this paper, we initiate the study of higher-dimensional Auslander–Reiten theory of self-injective algebras. We give a systematic construction of (weakly) d-representation-finite self-injective algebras as orbit algebras of the repetitive categories of algebras of finite global dimension satisfying a certain finiteness condition for the Serre functor. We give a complete description of finite dimensional selfinjective algebras over an algebraically closed field whose Auslander–Reiten quiver admits a generalized standard family of quasi-tubes maximally saturated by simple and projective modules. In particular, we show that these algebras are selfinjective algebras of strictly canonical type. The universal cover of a representation-finite algebra. P. Gabriel. Pages Group-graded algebras and the zero relation problem Universal coverings of selfinjective algebras. Josef Waschbüsch Wolfgang Willems. Pages On algebras whose trivial extensions are of finite representation type. Kunio Yamagata. Pages Abstract. We say that an algebra A is periodic if it has a periodic projective resolution as an (A, A) -bimodule. We show that any self-injective algebra of finite representation type is periodic. To prove this, we first apply the theory of smash products to show that for a finite Galois covering B → A, B is periodic if and only if A is.
Part of the Lecture Notes in Mathematics book series (LNM, volume Auslander-Reiten quivers for certain algebras of finite representation type, Pub. Prelim. del. Inst de Mat. Representation-finite selfinjective algebras of class An, in Representation Theory II, . These derived equivalences follow also from Asashiba's derived equivalence classification of selfinjective algebras of finite representation type. Example Let (Q, W) be the QP given as follows where the potential is the sum of each small squares. Then (Q, W) is a selfinjective QP with the Nakayama permutation (19) (28) (37) (46) (5). On Algebras of Finite Representation Type Spencer E. Dickson, University of Nebraska–Lincoln Abstract: Since D. G. Higman proved that bounded representation type and finite representation type are equivalent for group algebras at prime characteristic, there has been a renewed interest. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. 1 The block theory of finite group algebras.