On the graded quotients of the \(\operatorname{SL}_m\)-representation algebras of groups
From MaRDI portal
Publication:1979494
DOI10.2140/PJM.2021.312.477OpenAlexW3197608133MaRDI QIDQ1979494
Publication date: 3 September 2021
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.05411
automorphism groups of free groupsJohnson homomorphisms\(\operatorname{SL}(m,\mathbb{Q})\)-representation varieties
Representation theory for linear algebraic groups (20G05) Automorphism groups of groups (20F28) Ideals and multiplicative ideal theory in commutative rings (13A15)
Cites Work
- Unnamed Item
- Unnamed Item
- On the lower central series of the IA-automorphism group of a free group.
- On the derivation algebra of the free Lie algebra and trace maps
- The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
- On the rings of Fricke characters of free abelian groups
- The structure of the Torelli group. II: A characterization of the group generated by twists on bounding curves
- The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
- Rings of Fricke characters and automorphism groups of free groups
- Linear algebraic groups
- The extension of Johnson's homomorphism from the Torelli group to the mapping class group
- An abelian quotient of the mapping class group \(\mathfrak S\)
- Abelian quotients of subgroups of the mapping class group of surfaces
- First cohomologies and the Johnson homomorphisms of the automorphism group of a free group.
- On the graded quotients of the rings of Fricke characters of free groups.
- The Johnson-Morita theory for the ring of Fricke characters of free groups.
- Twisted first homology groups of the automorphism group of a free group.
- Über \(n\)-dimensionale Gittertransformationen
- Character varieties
- NEW OBSTRUCTIONS FOR THE SURJECTIVITY OF THE JOHNSON HOMOMORPHISM OF THE AUTOMORPHISM GROUP OF A FREE GROUP
- The cokernel of the Johnson homomorphisms of the automorphism group of a free metabelian group
- Induced Automorphisms on Fricke Characters of Free Groups
- Infinitesimal presentations of the Torelli groups
- On the Universal SL2-Representation Rings of Free Groups
- EXTENSIONS OF JOHNSON'S AND MORITA'S HOMOMORPHISMS THAT MAP TO FINITELY GENERATED ABELIAN GROUPS
- Characters of free groups represented in the two‐dimensional special linear group
- On the SL(2, C)-representation rings of free abelian groups
- On the Automorphisms of Free Groups and Free Nilpotent Groups
- A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics
This page was built for publication: On the graded quotients of the \(\operatorname{SL}_m\)-representation algebras of groups