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Rank n swapping algebra for Grassmannian
Sun, Zhe
2019
 

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Keywords :
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
Language :
English
Title :
Rank n swapping algebra for Grassmannian
Publication date :
April 2019
Number of pages :
13
FnR Project :
FNR13242285 - COmbinatorial and ALgebraic Aspects of Surface group representations, 2017 (01/09/2018-31/08/2020) - Zhe Sun
Available on ORBilu :
since 15 May 2019

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