Geodesic
Dennis--Vaserstein type decompositions
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 19, Tome 375 (2010), pp. 48-60

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We prove a generalisation of Dennis–Vaserstein decomposition for an arbitrary pair of maximal parabolic subgroups $P_r$ and $P_s$ in the general linear group $\mathrm{GL}(n,R)$, provided that $r-s\geq\mathrm{sr}(R)$. The usual Dennis–Vaserstein decomposition is the special case where $r=n-1$, $s=1$. Bibl. – 23 titles. 
@article{ZNSL_2010_375_a3,
     author = {N. A. Vavilov and S. S. Sinchuk},
     title = {Dennis--Vaserstein type decompositions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {48--60},
     publisher = {mathdoc},
     volume = {375},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_375_a3/}
}
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N. A. Vavilov; S. S. Sinchuk. Dennis--Vaserstein type decompositions. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 19, Tome 375 (2010), pp. 48-60. http://geodesic.mathdoc.fr/item/ZNSL_2010_375_a3/