The microlocal structure of weighted homogeneous polynomials associated with Coxeter systems. I

DOI10.3836/tjm/1270216319zbMath0449.58025OpenAlexW4242557048MaRDI QIDQ1147414

Tamaki Yano, Jiro Sekiguchi

Publication date: 1979

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

Full work available at URL: https://doi.org/10.3836/tjm/1270216319

zbMATH Keywords

generalized functionmicrolocal structureinvariant polynomialsCoxeter systemsheaf of differential operatorsgeneralized discriminant

Mathematics Subject Classification ID

Other groups related to topology or analysis (20F38) Partial differential equations on manifolds; differential operators (58J99) Relations of PDEs on manifolds with hyperfunctions (58J15) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (14)

Algorithms for the \(b\)-function and \(D\)-modules associated with a polynomial ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Generating formulas for finite reflection groups of the infinite series \(S_n\), \(A_n\), \(B_n\) and \(D_n\) ⋮ Stratification of the discriminant in reflection groups ⋮ Some applications of hypergeometric shift operators ⋮ On a certain generator system of the ring of invariants of a finite reflection group ⋮ On the microlocal structure of the regular prehomogeneous vector space associated with SL(5)\(\times GL(4)\) ⋮ Milnor numbers of nonisolated Saito singularities ⋮ Deformations of inhomogeneous simple singularities and quiver representations ⋮ A classification of weighted homogeneous Saito free divisors ⋮ Flat bases of invariant polynomials and P̂-matrices of E7 and E8 ⋮ On a linear structure of the quotient variety by a finite reflexion group ⋮ Some questions in the geometric theory of invariants of groups generated by orthogonal and oblique reflections

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