Subregular characters of the group $\mathrm{UT}(n,\mathbb R)$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 25, Tome 414 (2013), pp. 138-155
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The formulas for subregular characters of the unitriangular Lie group are obtained. The supports of regular and subregular characters are described in terms of the orbit method.
[1] A. A. Kirillov, “Unitarnye predstavleniya nilpotentnykh grupp Li”, UMN, 17:4 (1962), 57–110 | MR | Zbl
[2] A. A. Kirillov, Lektsii po metodu orbit, Nauchnaya kniga, Novosibirsk, 2002
[3] M. V. Ignatev, “Subregulyarnye kharaktery unitreugolnoi gruppy nad konechnym polem”, Fund. i prikl. matem., 13:5 (2007), 103–125 ; arXiv: 0801.3079 | MR | Zbl
[4] M. V. Ignatev, A. N. Panov, “Koprisoedinennye orbity gruppy $UT(7,K)$”, Fund. i prikl. mat., 13:5 (2007), 127–159 ; arXiv: math/0603649 | MR