Circle; Poisson algebra; Grassmannian; rank n swapping algebra
Abstract :
[en] The rank n swapping algebra is the Poisson algebra defined on the ordered pairs of points on a circle using the linking numbers, where a subspace of (K^n×K^{n∗})^r/GL(n,K) is its geometric mode. In this paper, we find an injective Poisson homomorphism from the Poisson algebra on Grassmannian G(n,r) arising from boundary measurement map to the rank n swapping fraction algebra.
Disciplines :
Mathematics
Author, co-author :
SUN, Zhe ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
