Analytic representations of polycyclic groups

DOI10.1016/0021-8693(82)90011-4zbMath0505.20007OpenAlexW2071160447MaRDI QIDQ1835978

Andy R. Magid

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90011-4

zbMATH Keywords

polycyclic-by-finite groupsubgroup of finite indexsimply connected solvable analytic groupalgebra of representative analytic complex functions

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Other algebraic groups (geometric aspects) (14L40) Complex spaces with a group of automorphisms (32M99)

Related Items

Superrigidity of lattices in solvable Lie groups, On the structure of certain injective modules over group algebras of soluble groups of finite rank, Representative functions on discrete solvable groups

Cites Work

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• Lie algebras with the same modules
• Extensions of pro-affine algebraic groups
• On a problem of Philip Hall
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• Tannaka Duality for Discrete Groups
• Shorter Notes: Representations of Polycyclic Groups
• Representative Functions of Discrete Groups and Solvable Arithmetic Subgroups
• Pro-Affine Algebraic Groups
• On the Algebra of Representative Functions of an Analytic Group