Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bautista, R.; Larrion, F.; Salmeron, L., On simply connected algebras, J. London Math. Soc. 27 (1983), 212–220.
Bretscher, O.; Gabriel, P., The standard form of a representation-finite algebra, Bull. Soc. Math. France 111 (1983), 21–40.
Cibils, C., Cohomologie de Hochschild d'algèbres de dimension finie, preprint.
Cibils, C., 2-nilpotent and rigid finite-dimensional algebras, J. London Math. Soc. 36 (1987), 211–218.
Cibils, C., Cohomology of incidence algebras and simplicial complexes, preprint.
Cibils, C., Hochschild homology of an algebra whose quiver has no oriented cycles, Springer Lecture Notes, Heidelberg 1177 (1986), 55–59.
Cartan, H.; Eilenberg, S., Homological Algebra, Princeton University Press (1956).
Cline, E.; Parshall, B.; Scott, L.; Derived categories and Morita theory, J. Algebra 104 (1986), 397–409.
Gabriel, P., Finite representation type is open, Springer Lecture Notes, Heidelberg 488 (1975), 132–155.
Gabriel, P., Auslander-Reiten sequences and representation-finite algebras, Springer Lecture Notes, Heidelberg 831 (1980), 1–71.
Gerstenhaber, M., On the deformations of rings and algebras, Ann. of Math. 79 (1964), 59–103.
Gerstenhaber, M.; Schack, S.P., Simplicial homology is Hochschild cohomology, J. Pure and Appl. algebra 30 (1983), 143–156.
Happel, D., On the derived category of a finite-dimensional algebra, Comment. Math. Helv. 62 (1987), 339–389.
Happel, D., LMS, Cambridge University Press 119 (1988), “Triangulated categories in the representation theory of finite-dimensional algebras,”.
Happel, D.; Schaps, M., Deformations of tilting modules, preprint.
Hochschild, G., On the cohomology groups of an associative algebra, Ann. of Math. 46 (1946), 58–67.
Ringel, C.M., Tame algebras and integral quadratic forms, Springer Lecture Notes, Heidelberg 1099 (1984).
Verdier, J.L., Catégories dérivées, état 0, Springer Lecture Notes, Heidelberg 569 (1977), 262–311.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Happel, D. (1989). Hochschild cohomology of finite—dimensional algebras. In: Malliavin, MP. (eds) Séminaire d’Algèbre Paul Dubreil et Marie-Paul Malliavin. Lecture Notes in Mathematics, vol 1404. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084073
Download citation
DOI: https://doi.org/10.1007/BFb0084073
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51812-9
Online ISBN: 978-3-540-46814-1
eBook Packages: Springer Book Archive