Treffer: Hypergeometric functions on the \(k\)th exterior power of the space \(\mathbb{C}^ n\) and the Grassmannian \(G_{k,n}\), and the connection between them
Title:
Hypergeometric functions on the \(k\)th exterior power of the space \(\mathbb{C}^ n\) and the Grassmannian \(G_{k,n}\), and the connection between them
Authors:
Publisher Information:
American Mathematical Society (AMS), Providence, RI
Subject Terms:
Other hypergeometric functions and integrals in several variables, Stratifications, constructible sheaves, intersection cohomology (complex-analytic aspects), Homogeneous complex manifolds, Connections of hypergeometric functions with groups and algebras, and related topics, Representations of Lie and linear algebraic groups over real fields: analytic methods, Modifications, resolution of singularities (complex-analytic aspects)
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Access URL:
Accession Number:
edsair.c2b0b933574d..9c22691e6e7d6d2dbada10a2c6dc0e6b
Database:
OpenAIRE
Weitere Informationen
A new approach to the description of hypergeometric functions on the Grassmannian \(G_{k,n}\) of \(k\)-dimensional subspaces of \(\mathbb{C}^ n\) and on the strata of \(G_{k,n}\) is offered by reducing to the description of hypergeometric functions on the variety of exterior powers \(X= \wedge^ k \mathbb{C}^ n\) and on the strata of the Plücker subvariety of \(X\). A new representations of hypergeometric functions in form of \((n-1)\)-fold integrals are given.