The topic of the first part of this semester's seminar will be the structure and representation theory of coalgebras. Juan Cuadra has made up a program consisting of the following six talks:
Name |
Title |
Date |
|
1. | Humberto Alvarez | Algebras and Coalgebras | 04.11.2003 |
2. | Philipp Fahr | Modules and Comodules | 04.11.2003 |
3. | Dong Liu | Structure Theory of Coalgebras and Comodules | 11.11.2003 |
4. | Rolf Farnsteiner | Equivalences between categories of comodules | 18.11.2003 |
5. | Juan Cuadra | Special Classes of Coalgebras, I | 25.11.2003 |
6. | Juan Cuadra | Special Classes of Coalgebras, II | 02.12.2003 |
[A] | Abe: Hopf algebras. Cambridge Tracts in Mathematics (1977) |
[CH] | Chin: A brief introduction to coalgebra representation theory |
[CH2] | Chin: Hereditary coalgebras and path coalgebras. Comm. Algebra 30 (2002), 1829-1831 |
[CM] | Chin, Montgomery: Basic coalgebras AMS/IP studies in Advanced Math. 4 (1997), 41-47 |
[C1] | Cuadra: Notes on algebras and coalgebras |
[CG] | Cuadra, Gomez-Torrecillas: Idempotents and Morita-Takeuchi Theory. Comm. Algebra 30 (2002), 2405-2426 |
[CG2] | Cuadra, Gomez-Torrecillas: Serial coalgebras. To appear in J. Pure Appl. Algebra |
[D] | Doi: Homological coalgebra. J. Math. Soc. Japan 33 (1981), 31-50 |
[GN] | Gomez-Torrecillas, Nastasescu: Quasi-co-Frobenius coalgebras. J. Algebra 174 (1995), 909-923 |
[G] | Green, J.A.: Locally finite representations. J.Algebra 41 (1976), 137-171 |
[KR] | Kleiner, Reiten: Abelian categories, almost split sequences, and comodules. Preprint 2003 |
[T2] | Larson, Taft: The algebraic structure of linearly recursive sequences under Hadamard product. Israel J. Math. 72 (1980), 118-132 |
[L] | Lin: Semiperfect coalgebras. J. Algebra 49 (1977), 357-373 |
[M1] | Montgomery: Hopf algebras and their actions on rings. CBMS 82 (1993) |
[M2] | Montgomery: Indecomposable coalgebras, simple comodules and pointed Hopf algebras. Proc.Amer.Math.Soc. 123 (1995), 2343-2351 |
[NTZ] | Nastasescu, Torrecillas, Zhang: Hereditary coalgebras. Comm. Algebra 24 (1996), 1521-1528 |
[NS] | Novak, Simson: Locally Dynkin quivers and hereditary coalgebras whose left comodules are direct sums of finite dimensional comodules. Comm Algebra 30 (2002), 455-476 |
[T1] | Peterson, Taft: The Hopf algebra of linearly recursive sequences. Aequationes Math. 20. No 1 (1980), 1-17 |
[Si] | Simson: On coalgebras ot tame comodule type. In: Representations of Algebras II. Beijing Normal University (2002). |
[S] | Sweedler: Hopf algebras. Benjamin (1969) |
[T] | Takeuchi: Morita Theorems for categories of comodules. J. Fac. Sci. Univ. Tokyo 24 (1977), 629-644 |
[W] | Woodcock: Some categorial remarks on the representation theory of coalgebras. Comm. Algebra 25 (1997), 2775-2794 |