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Nonabelian Dold-Kan Decompositions for Simplicial and Symmetric-Simplicial Groups
Nonabelian Dold-Kan Decompositions Simplicial Symmetric-Simplicial Groups
2011/1/19
We extend the nonabelian Dold-Kan decomposition for simplicial groups of Carrasco and Cegarra [CC91] in two ways. First, we show that the total order of the subgroups in their decomposition belongs to...
On positive definite preserving linear transformations of rank $r$ on real symmetric matrices
positive definite linear transformations
2010/11/22
We study on what conditions on $B_k,$ \ a linear transformation of rank $r$ \label{form} T(A)=\sum_{k=1}^r\tr(AB_k)U_k where $U_k,\ k=1,2,..., r$ are linear independent and all positive definite; is p...
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,...
Self-Adjoint Boundary Value Problems on Time Scales and Symmetric Green's Functions
Time scales self-adjoint differential expressions self-adjoint boundary conditions
2010/2/26
In this note, higher order self-adjoint differential expressions on time scales, and associated with them self-adjoint boundary conditions, are discussed. The symmetry peoperty of the corresponding Gr...