Unipotent Elements, Standard Involutions, and the Divisor Matrix

摘要

We give an explicit description of a matrix T(n) in GL _n () with the property that T(n) = T(n)−1 and , where D _n  = (d _ij ) is the divisor matrix whose (i,j)-entry is For all n  , the matrices D _n and T(n) are obtained as the truncations of semi-infinite matrices D and T also satisfying the relations T = T −1 and T D T −1 = D −1. By encoding the entries of the ith row of the semi-infinite matrix T in a Dirichlet series we give a description of the coefficients of T.View full textDownload full textRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927870802107546