On the Universal SL2-Representation Rings of Free Groups

DOI10.1017/S0013091516000456zbMath1483.20007MaRDI QIDQ4588356

Takao Satoh

Publication date: 26 October 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Johnson homomorphismcharacter varietyFricke charactersuniversal \(\mathrm{SL}_2\)-representation

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Geometric group theory (20F65) Actions of groups on commutative rings; invariant theory (13A50) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Related Items (3)

Topology of arrangements and representation stability. Abstracts from the workshop held January 14--20, 2018 ⋮ On the graded quotients of the \(\operatorname{SL}_m\)-representation algebras of groups ⋮ On the SL(2, C)-representation rings of free abelian groups

Cites Work

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• A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics

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