MULTIPLICITY ONE PROPERTY AND THE DECOMPOSITION OF b-FUNCTIONS

DOI10.1142/S0129167X0600345XzbMath1200.11090MaRDI QIDQ3379529

Kazunari Sugiyama, Fumihiro Sato

Publication date: 6 April 2006

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

prehomogeneous vector spaces\(b\)-functions

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Prehomogeneous vector spaces (11S90)

Related Items (5)

Relative invariants of 2-simple prehomogeneous vector spaces of type I ⋮ Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and Pfaffians ⋮ Decompositions of Bernstein-Sato polynomials and slices ⋮ \(b\)-functions associated with quivers of type \textsf{A} ⋮ Algorithms for computing multiplier ideals

Cites Work

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• The Capelli identity, the double commutant theorem, and multiplicity-free actions
• Opérateurs différentiels de Shimura et espaces préhomogènes. (Shimura differential operators and prehomogeneous spaces)
• A classification of 2-simple prehomogeneous vector spaces of type I
• Micro-local analysis of prehomogeneous vector spaces
• On some series of regular irreducible prehomogeneous vector spaces
• Theory of prehomogeneous vector spaces without regularity condition
• B-functions and holonomic systems. Rationality of roots of B-functions
• Nonregular 2-simple prehomogeneous vector spaces of type I and their relative invariants
• Theb-functions and holonomy diagrams of irreducible regular prehomogeneous vector spaces
• A classification of irreducible prehomogeneous vector spaces and their relative invariants

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