Osipov, Denis V.; Parshin, Alekseĭ N. Harmonic analysis on the rank-2 value group of a two-dimensional local field. (English. Russian original) Zbl 1452.43005 Sb. Math. 211, No. 1, 115-160 (2020); translation from Mat. Sb. 211, No. 1, 125-174 (2020). MSC: 43A70 11S80 PDFBibTeX XMLCite \textit{D. V. Osipov} and \textit{A. N. Parshin}, Sb. Math. 211, No. 1, 115--160 (2020; Zbl 1452.43005); translation from Mat. Sb. 211, No. 1, 125--174 (2020) Full Text: DOI arXiv
Narayanan, E. K.; Singla, Pooja On monomial representations of finitely generated nilpotent groups. (English) Zbl 1454.43007 Commun. Algebra 46, No. 6, 2319-2331 (2018). MSC: 43A65 20C15 20F18 PDFBibTeX XMLCite \textit{E. K. Narayanan} and \textit{P. Singla}, Commun. Algebra 46, No. 6, 2319--2331 (2018; Zbl 1454.43007) Full Text: DOI arXiv
Liu, Dongwen; Zhu, Yongchang LCA(2), Weil index, and product formula. (English) Zbl 1393.43002 Adv. Math. 329, 1088-1136 (2018). Reviewer: Evgueni Doubtsov (St. Petersburg) MSC: 43A25 11R56 42B35 43A95 PDFBibTeX XMLCite \textit{D. Liu} and \textit{Y. Zhu}, Adv. Math. 329, 1088--1136 (2018; Zbl 1393.43002) Full Text: DOI arXiv
Beloshapka, I. V. On irreducible representations with finite weight of a certain discrete nilpotent group. (English. Russian original) Zbl 1344.43003 Russ. Math. Surv. 70, No. 4, 777-778 (2015); translation from Usp. Mat. Nauk 70, No. 4, 207-208 (2015). MSC: 43A65 20C15 20F18 PDFBibTeX XMLCite \textit{I. V. Beloshapka}, Russ. Math. Surv. 70, No. 4, 777--778 (2015; Zbl 1344.43003); translation from Usp. Mat. Nauk 70, No. 4, 207--208 (2015) Full Text: DOI
Arnal’, S. A.; Parshin, A. N. On irreducible representations of discrete Heisenberg groups. (English. Russian original) Zbl 1264.43007 Math. Notes 92, No. 3, 295-301 (2012); translation from Mat. Zametki 92, No. 3, 323-330 (2012). Reviewer: E. K. Narayanan (Bangalore) MSC: 43A65 43A40 22A25 PDFBibTeX XMLCite \textit{S. A. Arnal'} and \textit{A. N. Parshin}, Math. Notes 92, No. 3, 295--301 (2012; Zbl 1264.43007); translation from Mat. Zametki 92, No. 3, 323--330 (2012) Full Text: DOI
Osipov, D. V.; Parshin, A. N. Harmonic analysis and the Riemann-Roch theorem. (English. Russian original) Zbl 1350.14015 Dokl. Math. 84, No. 3, 826-829 (2011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 4, 444-448 (2011). Reviewer: Dmitri A. Timashev (Moskva) (MR2951489) MSC: 14C40 11R56 14G15 43A60 PDFBibTeX XMLCite \textit{D. V. Osipov} and \textit{A. N. Parshin}, Dokl. Math. 84, No. 3, 826--829 (2011; Zbl 1350.14015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 4, 444--448 (2011) Full Text: DOI arXiv
Kapranov, M. Double affine Hecke algebras and \(2\)-dimensional local fields. (English) Zbl 0958.20005 J. Am. Math. Soc. 14, No. 1, 239-262 (2001). Reviewer: A.Khammash (Makkah) MSC: 20C08 43A80 20G25 22E50 PDFBibTeX XMLCite \textit{M. Kapranov}, J. Am. Math. Soc. 14, No. 1, 239--262 (2001; Zbl 0958.20005) Full Text: DOI arXiv