Geodesic
Cohomology of the Iwasawa subgroup of the group $U(p,p)$ in nonunitary representations
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXV, Tome 436 (2015), pp. 112-121 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct a special injective nonunitary bounded irreducible representation for the Iwasawa subgroup of the semisimple Lie group $U(p,p)$ with $p>1$. 
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     author = {A. M. Vershik and M. I. Graev},
     title = {Cohomology of the {Iwasawa} subgroup of the group $U(p,p)$ in nonunitary representations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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A. M. Vershik; M. I. Graev. Cohomology of the Iwasawa subgroup of the group $U(p,p)$ in nonunitary representations. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXV, Tome 436 (2015), pp. 112-121. http://geodesic.mathdoc.fr/item/ZNSL_2015_436_a5/

[1] A. M. Vershik, M. I. Graev, “Kogomologii v neunitarnykh predstavleniyakh poluprostykh grupp Li (gruppa $U(2,2)$)”, Funkts. anal. i pril., 48:3 (2014), 1–13 | DOI | Zbl