Theb-functions and holonomy diagrams of irreducible regular prehomogeneous vector spaces
From MaRDI portal
Publication:3897741
DOI10.1017/S0027763000019656zbMath0451.58035MaRDI QIDQ3897741
Publication date: 1982
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
prehomogeneous vector spacesmicrolocal analysisb-functionholonomy diagramsmicro-differential equations
Infinite-dimensional holomorphy (46G20) Hyperfunctions (32A45) Relations of PDEs on manifolds with hyperfunctions (58J15)
Related Items
On functional equations of complex powers, Highest weight modules and \(b\)-functions of semi-invariants, On a certain class of prehomogeneous vector spaces, Quotients of some prehomogeneous vector spaces, Singular invariant tempered distributions on regular prehomogeneous vector spaces, A classification of 2-simple prehomogeneous vector spaces of type I, Archimedean zeta functions and oscillatory integrals, Eisenstein series on weakly spherical homogeneous spaces of \(GL(n)\), Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and Pfaffians, Decompositions of Bernstein-Sato polynomials and slices, Local cohomology on a subexceptional series of representations, Holonomic functions and prehomogeneous spaces, On the microlocal structure of a regular prehomogeneous vector space associated with GL(8), Some prehomogeneous vector spaces with relative invariants of degree four and the formula of the Fourier transforms, On some series of regular irreducible prehomogeneous vector spaces, The concomitants of a prehomogeneous vector space., Secant varieties of adjoint varieties: Orbit decomposition, Bernstein-Sato polynomials for maximal minors and sub-maximal Pfaffians, Symmetry in the functional equation of a local zeta distribution, The \(b\)-functions of semi-invariants of quivers, Zeta functions in several variables associated with prehomogeneous vector spaces. I: Functional equations, On categories of equivariant \(\mathcal{D}\)-modules, Projective geometry of Freudenthal's varieties of certain type, Quantum \(b\)-functions of prehomogeneous vector spaces of commutative parabolic type, On the microlocal structure of the regular prehomogeneous vector space associated with SL(5)\(\times GL(4)\), Poisson cohomology of two Fano threefolds, Conformally invariant systems of differential equations and prehomogeneous vector spaces of Heisenberg parabolic type, MULTIPLICITY ONE PROPERTY AND THE DECOMPOSITION OF b-FUNCTIONS, Invariant hyperfunctions on regular prehomogeneous vector spaces of commutative parabolic type, Motivic zeta functions for prehomogeneous vector spaces and castling transformations, Structure and orbits of certain prehomogeneous vector spaces related with orthogonal roots, Microlocal analysis and calculations on some relatively invariant hyperfunctions related to zeta functions associated with the vector spaces of quadratic forms, Desingularization of Schubert varieties and orbit closures of prehomogeneous vector spaces of commutative parabolic type, The \(b\)-function and the holonomy diagram of a regular simple prehomogeneous vector space (\(\text{GL}(1)^2 \times\text{Spin} (10)\), half-spin rep. + vector rep.), A classification of prehomogeneous vector spaces of simple algebraic groups with scalar multiplications, Geometry of the Lagrangian Grassmannian LG(3,6) with applications to Brill-Noether loci, EQUIVARIANT -MODULES ON ALTERNATING SENARY 3-TENSORS, On the microlocal structure of a regular prehomogeneous vector space associated with \(Spin(10)\times GL(3)\), Gauss sums of prehomogeneous vector spaces, Structure of prehomogeneous spaces associated with certain graded Lie algebras
Cites Work
