The Representation Type of Self-Injective Algebras

DOI10.1112/BLMS/22.6.540zbMath0742.16007OpenAlexW1967405577WikidataQ114077879 ScholiaQ114077879MaRDI QIDQ3978862

Jeremy Rickard

Publication date: 25 June 1992

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/22.6.540

zbMATH Keywords

finite dimensional algebrasindecomposabilitywild representation typerestricted enveloping algebrasrestricted Lie algebrasminimal projective resolutionself-injective algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Representations of orders, lattices, algebras over commutative rings (16G30) Injective modules, self-injective associative rings (16D50) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Universal enveloping (super)algebras (17B35)

Related Items (14)

Eventually polynomial Betti sequences over truncated path algebras ⋮ Support varieties for selfinjective algebras. ⋮ Basic Hopf algebras of tame type. ⋮ Representation type of Hecke algebras of type 𝐴 ⋮ On support varieties of Auslander-Reiten components ⋮ Block representation type of reduced enveloping algebras ⋮ The tame infinitesimal groups of odd characteristic ⋮ Frobenius-Perron theory of endofunctors ⋮ Polyhedral groups, McKay quivers, and the finite algebraic groups with tame principal blocks. ⋮ Tameness and complexity of finite group schemes ⋮ On cocommutative Hopf algebras of finite representation type ⋮ Auslander-Reiten components for Lie algebras of reductive groups ⋮ Generalized reduced enveloping algebras for restricted Lie algebras ⋮ Complexity of representations of quantised function algebras and representation type

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