On Hall Algebras of Hereditary Orders

DOI10.1081/AGB-120028799zbMath1068.16017MaRDI QIDQ3154530

Osamu Iyama

Publication date: 14 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

universal enveloping algebrasirreducible modulescomposition algebrashighest weightshereditary ordersgeneric Hall algebras

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (2)

Generalized Kac–Moody Lie Algebras and Product Quivers ⋮ Domestic canonical algebras and simple Lie algebras.

Cites Work

• Unnamed Item
• Hall algebras and quantum groups
• Triangulated categories and Kac-Moody algebras
• A proof of Solomon's second conjecture on local zeta functions of orders
• Hall algebras, hereditary algebras and quantum groups
• On degenerations and extensions of finite dimensional modules
• The Composition Algebra of a Cyclic Quiver
• The hall polynomials of a cyclic serial algebra

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