Prehomogeneous tensor spaces

DOI10.1080/03081087.2018.1424112zbMath1409.14081arXiv1606.07257OpenAlexW2962918024MaRDI QIDQ4622866

Federico Venturelli

Publication date: 18 February 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07257

zbMATH Keywords

prehomogeneous vector spacestensorscastling transform

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Multilinear algebra, tensor calculus (15A69) Canonical forms, reductions, classification (15A21)

Related Items (1)

Maximum likelihood estimation for tensor normal models via castling transforms

Cites Work

• Infinite root systems, representations of graphs and invariant theory
• Orbits and their closures in the spaces $ \mathbb C^{k_1}\otimes\dots\otimes\mathbb C^{k_r}$
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Tensor products with finitely many orbits
• COXETER FUNCTORS AND GABRIEL'S THEOREM
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