Geodesic
Representation varieties of one Baumslag–Solitar group
Trudy Instituta matematiki, Tome 31 (2023) no. 1, pp. 14-23 Cet article a éte moissonné depuis la source Math-Net.Ru

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Representation varieties of one Baumslag–Solitar group are investigated. All irreducible components of the representation variety of this group are found, their dimensions are calculated and their rationality is proved. 
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V. V. Beniash-Kryvets; A. N. Admiralova. Representation varieties of one Baumslag–Solitar group. Trudy Instituta matematiki, Tome 31 (2023) no. 1, pp. 14-23. http://geodesic.mathdoc.fr/item/TIMB_2023_31_1_a2/

[1] A. Lubotzky, A. Magid, “Varieties of representations of finitely generated groups”, Memoirs AMS, 58:336 (1985), 1–116 | DOI | MR

[2] V. V. Benyash-Krivetz, A. S. Rapinchuk, V. I. Chernousov, “Representation varieties of the fundamental groups of compact orientable surfaces”, Israel J. Math, 93 (1996), 29–71 | DOI | MR | Zbl

[3] V. V. Benyash-Krivets, V. I. Chernousov, “Mnogoobraziya predstavlenii fundamentalnykh grupp kompaktnykh neorientiruemykh poverkhnostei”, Matem. sbornik, 188:7 (1997), 47–92 | DOI | MR | Zbl

[4] V. V. Benyash-Krivets, I. O. Govorushko, “Mnogoobraziya predstavlenii i kharakterov grupp Baumslaga-Solitera”, Algebra, geometriya i teoriya chisel, sb. st. k 75-letiyu so dnya rozhdeniya akademika Vladimira Petrovicha Platonova, Trudy MIAN, 292, 2016, 26–42 | DOI | Zbl

[5] V. V. Benyash-Krivets, I. O. Govorushko, “Mnogoobraziya predstavlenii grupp Baumslaga-Solitera v sluchae ne vzaimno prostykh pokazatelei”, Vestsi Nats. akad. navuk Belarusi. Ser. fiz. mat. navuk, 2016, no. 1, 52–56

[6] A. N. Admiralova, V. V. Benyash-Krivets, “O mnogoobraziyakh predstavlenii i kharakterov odnogo klassa grupp s odnim sootnosheniem”, Vestnik BGU, ser. 1, 2016, no. 3, 166–172

[7] A. N. Admiralova, V. V. Benyash-Krivets, “O mnogoobraziyakh predstavlenii nekotorykh svobodnykh proizvedenii tsiklicheskikh grupp s odnim sootnosheniem”, Chebyshevckii sbornik, 21:1 (2020), 62–81 | DOI | MR | Zbl

[8] K. Masuda, “On a problem of Chevalley”, Nagoya Math. J., 8 (1955), 59–63 | DOI | MR | Zbl