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Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials
Invariant polynomials Extension of symmetric spaces Spherical Fourier transform
2011/1/17
Polynomial invariants are fundamental objects in analysis on Lie groups and symmetric spaces. Invariant differential operators on symmetric spaces are described by Weyl group invariant poly-nomial.
On duality and negative dimensions in the theory of Lie groups and symmetric spaces
duality negative dimensions theory Lie groups symmetric spaces
2010/11/8
We give one more interpretation of the symbolic formulae $U(-N)=U(N)$ and $Sp(-2N)=SO(2N)$ by comparing the values of certain Casimir operators in the corresponding tensor representations. We show al...
Homotopes of Symmetric Spaces I. Construction by Algebras with Two Involutions
Homotopes of Symmetric Spaces I Algebras Involutions
2010/11/19
We investigate a special kind of contraction of symmetric spaces (respectively, of Lie triple systems), called homotopy. In this first part of a series of two papers we construct such contractions fo...
Schrödinger Flows to Symmetric Spaces and the Second
Matrix-AKNS Hierarchies
AKNS hierarchy nonlinear Schrö dinger equation Schrö dinger flow
2007/8/15
2006Vol.45No.4pp.653-656DOI:
Schrödinger Flows to Symmetric Spaces and the Second
Matrix-AKNS Hierarchies
CHEN Bing-Biao
Institute of Mathematics, Fudan University,...