Root Sublattices and Torus-Restriction of Prehomogeneous Vector Spaces Associated with Dynkin Quivers

DOI10.1080/00927872.2012.691190zbMath1282.14081OpenAlexW2021090832MaRDI QIDQ2848519

Makoto Nagura, Shin-ichi Otani, Tomohiro Kamiyoshi

Publication date: 26 September 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.691190

zbMATH Keywords

representations of quiversprehomogeneous vector spacetilting moduleDynkin quiverroot sublattice

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Representations of quivers and partially ordered sets (16G20) Prehomogeneous vector spaces (11S90)

Cites Work

• Unnamed Item
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• A characterization of finite prehomogeneous vector spaces of \(D_4\)-type under various scalar restrictions.
• Relative invariants and subgeneric orbits of quivers of finite and tame type
• Infinite root systems, representations of graphs and invariant theory. II
• On a simplicial complex associated with tilting modules
• Conditions on a finite number of orbits for \(A_r\)-type quivers.
• A characterization of finite prehomogeneous vector spaces associated with products of special linear groups and Dynkin quivers

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