%0 Journal Article %A N. M. Belousov %A S. E. Derkachev %T Regular representation of the group $\mathrm{GL}(N,\mathbb{R})$: factorization, Casimir operators and Toda chain %J Zapiski Nauchnykh Seminarov POMI %D 2020 %P 23-47 %V 494 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2020_494_a1/ %G ru %F ZNSL_2020_494_a1