This volume contains the proceedings of the Tsukuba International Conference on Representations of Algebras and Related Topics (fifth ICRA), held at the University of Tsukuba, August 13-18, 1990. The conference focused on the rapid development of research on representations of finite-dimensional algebras and group representations. A subset of the fifty-seven lectures are collected here, together with a number of other papers not originally presented at the conference. With contributions by some of the world's leading experts in this area, this book provides a valuable overview of the frontier of research in representations of algebras.
Table of contents:
I Agoston and A P Dean, P-bases for torsion-free regular modules; H Asahiba, The selfinjectivity of a local algebra A and the condition Ext1A(DA,A) = 0; I Assem, J Nehring and W Schewe, Fundamental domains and duplicated algebras; M Auslander and I Reiten, On a theorem of E Green on the dual of the transpose; V M Bondarenko and A G Zavadskij, Posets with an equivalence relation of tame type and finite growth; W L Burt and M C R Butler, Almost split sequences for bocses; T Dana-Picard, 7-dimensional algebras with mixed basis-graph; J A de la Pena, The Weyl group of a wild graph; G D'Este, Algebras with a large dual; D Happel and L Unger, A family of infinite-dimensional non-selfextending bricks for wild hereditary algebras; O Kerner and F Lukas, Regular modules over wild hereditary algebras; S Koshitani, On p-radical groups in representation theory of finite groups; N Marmaridis, Extensions of finite dimensional algebras and tilting modules; H A Merklen, On Auslander-Reiten sequences of triangular matrix algebras; V A Ponomarev, Lattices L(An); K W Roggenkamp, The structure of the principal p-block with cyclic normal defunct group; D Simson, Two peak posets of finite prinjective type; A G Zavadskij, An algorithm for posets with an equivalence relation.
Table of contents:
I Agoston and A P Dean, P-bases for torsion-free regular modules; H Asahiba, The selfinjectivity of a local algebra A and the condition Ext1A(DA,A) = 0; I Assem, J Nehring and W Schewe, Fundamental domains and duplicated algebras; M Auslander and I Reiten, On a theorem of E Green on the dual of the transpose; V M Bondarenko and A G Zavadskij, Posets with an equivalence relation of tame type and finite growth; W L Burt and M C R Butler, Almost split sequences for bocses; T Dana-Picard, 7-dimensional algebras with mixed basis-graph; J A de la Pena, The Weyl group of a wild graph; G D'Este, Algebras with a large dual; D Happel and L Unger, A family of infinite-dimensional non-selfextending bricks for wild hereditary algebras; O Kerner and F Lukas, Regular modules over wild hereditary algebras; S Koshitani, On p-radical groups in representation theory of finite groups; N Marmaridis, Extensions of finite dimensional algebras and tilting modules; H A Merklen, On Auslander-Reiten sequences of triangular matrix algebras; V A Ponomarev, Lattices L(An); K W Roggenkamp, The structure of the principal p-block with cyclic normal defunct group; D Simson, Two peak posets of finite prinjective type; A G Zavadskij, An algorithm for posets with an equivalence relation.