Bushnell, Colin J.; Henniart, Guy Tame multiplicity and conductor for local Galois representations. (English) Zbl 1470.11302 Tunis. J. Math. 2, No. 2, 337-357 (2020). MSC: 11S15 11S37 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Tunis. J. Math. 2, No. 2, 337--357 (2020; Zbl 1470.11302) Full Text: DOI arXiv
Bushnell, Colin J.; Henniart, Guy Explicit local Jacquet-Langlands correspondence: the non-dyadic wild case. (English) Zbl 1471.22014 Aizenbud, Avraham (ed.) et al., Representations of reductive groups. Conference in honor of Joseph Bernstein. Representation theory and algebraic geometry, June 11–16, 2017. Weizmann Institute of Science and The Hebrew University of Jerusalem, Israel. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 101, 45-72 (2019). MSC: 22E50 11S37 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Proc. Symp. Pure Math. 101, 45--72 (2019; Zbl 1471.22014) Full Text: arXiv
Bushnell, Colin J. Arithmetic of cuspidal representations. (English) Zbl 1437.22007 Aubert, Anne-Marie (ed.) et al., Representations of reductive \(p\)-adic groups. Based on the international conference, IISER, Pune, India, July 10–19, 2017. Singapore: Birkhäuser. Prog. Math. 328, 39-126 (2019). Reviewer: Yuval Z. Flicker (Ariel) MSC: 22E50 11F70 PDFBibTeX XMLCite \textit{C. J. Bushnell}, Prog. Math. 328, 39--126 (2019; Zbl 1437.22007) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Local Langlands correspondence and ramification for Carayol representations. (English) Zbl 1431.22017 Compos. Math. 155, No. 10, 1959-2038 (2019). Reviewer: J. G. M. Mars (Utrecht) MSC: 22E50 11S37 11S15 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Compos. Math. 155, No. 10, 1959--2038 (2019; Zbl 1431.22017) Full Text: DOI arXiv
Bushnell, Colin J.; Henniart, Guy Strong exponent bounds for the local Rankin-Selberg convolution. (English) Zbl 1406.22019 Bull. Iran. Math. Soc. 43, No. 4, 143-167 (2017). Reviewer: L. N. Vaserstein (University Park) MSC: 22E50 11S37 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Bull. Iran. Math. Soc. 43, No. 4, 143--167 (2017; Zbl 1406.22019) Full Text: arXiv Link
Bushnell, Colin J.; Henniart, Guy Higher ramification and the local Langlands correspondence. (English) Zbl 1372.22015 Ann. Math. (2) 185, No. 3, 919-955 (2017). Reviewer: Anton Deitmar (Tübingen) MSC: 22E50 11F66 11F70 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Ann. Math. (2) 185, No. 3, 919--955 (2017; Zbl 1372.22015) Full Text: DOI arXiv
Bushnell, Colin J. Effective local Langlands correspondence. (English) Zbl 1387.11090 Diamond, Fred (ed.) et al., Automorphic forms and Galois representations. Proceedings of the 94th London Mathematical Society (LMS) – EPSRC Durham symposium, Durham, UK, July 18–28, 2011. Volume 1. Cambridge: Cambridge University Press (ISBN 978-1-107-69192-6/pbk; 978-1-107-44633-5/ebook). London Mathematical Society Lecture Note Series 414, 102-134 (2014). MSC: 11S37 11F70 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell}, Lond. Math. Soc. Lect. Note Ser. 414, 102--134 (2014; Zbl 1387.11090)
Bushnell, Colin J.; Henniart, Guy Modular local Langlands correspondence for GL\(_n\). (English) Zbl 1302.22011 Int. Math. Res. Not. 2014, No. 15, 4124-4145 (2014). Reviewer: L. N. Vaserstein (University Park) MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Int. Math. Res. Not. 2014, No. 15, 4124--4145 (2014; Zbl 1302.22011) Full Text: DOI arXiv
Bushnell, Colin J.; Henniart, Guy To an effective local Langlands correspondence. (English) Zbl 1301.22011 Mem. Am. Math. Soc. 1087, v, 88 p. (2014). Reviewer: L. N. Vaserstein (University Park) MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, To an effective local Langlands correspondence. Providence, RI: American Mathematical Society (AMS) (2014; Zbl 1301.22011) Full Text: DOI arXiv
Bushnell, Colin J.; Henniart, Guy Langlands parameters for epipelagic representations of \(\mathrm{GL}_n\). (English) Zbl 1304.22021 Math. Ann. 358, No. 1-2, 433-463 (2014). Reviewer: Laurent Berger (Lyon) MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Math. Ann. 358, No. 1--2, 433--463 (2014; Zbl 1304.22021) Full Text: DOI arXiv
Bushnell, Colin J.; Henniart, Guy Intertwining of simple characters in GL(\(n\)). (English) Zbl 1316.22013 Int. Math. Res. Not. 2013, No. 17, 3977-3987 (2013). Reviewer: L. N. Vaserstein (University Park) MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Int. Math. Res. Not. 2013, No. 17, 3977--3987 (2013; Zbl 1316.22013) Full Text: DOI arXiv
Bushnell, Colin J.; Henniart, Guy Self-dual representations of some dyadic groups. (English) Zbl 1222.22010 Math. Ann. 351, No. 1, 67-80 (2011). MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Math. Ann. 351, No. 1, 67--80 (2011; Zbl 1222.22010) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy The essentially tame Jacquet-Langlands correspondence for inner forms of \(\text{GL}(n)\). (English) Zbl 1244.11053 Pure Appl. Math. Q. 7, No. 3, 469-538 (2011). Reviewer: Gerald Gotsbacher (Mumbai) MSC: 11F70 11S37 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Pure Appl. Math. Q. 7, No. 3, 469--538 (2011; Zbl 1244.11053) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy; Kutzko, Philip C. Types and explicit Plancherel formulae for reductive \(p\)-adic groups. (English) Zbl 1222.22011 Arthur, James (ed.) et al., On certain \(L\)-functions. Conference on certain \(L\)-functions in honor of Freydoon Shahidi on the occasion of his 60th birthday, West Lafayette, IN, USA July 23–27, 2007. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5204-0/pbk). Clay Mathematics Proceedings 13, 55-80 (2011). Reviewer: L. N. Vaserstein (University Park) MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} et al., Clay Math. Proc. 13, 55--80 (2011; Zbl 1222.22011)
Bushnell, Colin J.; Henniart, Guy Explicit functorial correspondences for level zero representations of \(p\)-adic linear groups. (English) Zbl 1205.22012 J. Number Theory 131, No. 2, 309-331 (2011). Reviewer: L. N. Vaserstein (University Park) MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, J. Number Theory 131, No. 2, 309--331 (2011; Zbl 1205.22012) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy The essentially tame local Langlands correspondence. III: The general case. (English) Zbl 1198.22009 Proc. Lond. Math. Soc. (3) 101, No. 2, 497-553 (2010). Reviewer: Bala Sury (Bangalore) MSC: 22E50 11S37 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Proc. Lond. Math. Soc. (3) 101, No. 2, 497--553 (2010; Zbl 1198.22009) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy; Lemaire, Bertrand Character and formal degree for the interior forms of \(\mathrm{GL}(n)\) on a local field of nonzero characteristic. (Caractère et degré formel pour les formes intérieures de \(\mathrm{GL}(n)\) sur un corps local de caractéristique non nulle.) (French. English summary) Zbl 1181.22015 Manuscr. Math. 131, No. 1-2, 11-24 (2010). MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} et al., Manuscr. Math. 131, No. 1--2, 11--24 (2010; Zbl 1181.22015) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Counting the discrete series for \(\text{GL}(n)\). (English) Zbl 1138.22012 Bull. Lond. Math. Soc. 39, No. 1, 133-137 (2007). MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Bull. Lond. Math. Soc. 39, No. 1, 133--137 (2007; Zbl 1138.22012) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy The local Langlands conjecture for \(\text{GL}(2)\). (English) Zbl 1100.11041 Grundlehren der Mathematischen Wissenschaften 335. Berlin: Springer (ISBN 3-540-31486-5/hbk). xii, 347 p. (2006). Reviewer: J. G. M. Mars (Utrecht) MSC: 11S37 22E50 11F70 11-02 22-02 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, The local Langlands conjecture for \(\text{GL}(2)\). Berlin: Springer (2006; Zbl 1100.11041)
Bushnell, Colin J.; Henniart, Guy The essentially tame local Langlands correspondence. II: Totally ramified representations. (English) Zbl 1137.11074 Compos. Math. 141, No. 4, 979-1011 (2005). MSC: 11S37 22E50 11F70 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Compos. Math. 141, No. 4, 979--1011 (2005; Zbl 1137.11074) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy The essentially tame local Langlands correspondence. I. (English) Zbl 1073.11070 J. Am. Math. Soc. 18, No. 3, 685-710 (2005). Reviewer: Joachim Mahnkopf (Wien) MSC: 11S37 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, J. Am. Math. Soc. 18, No. 3, 685--710 (2005; Zbl 1073.11070) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Local tame lifting for GL\((n)\). III: Explicit base change and Jacquet-Langlands correspondence. (English) Zbl 1074.11063 J. Reine Angew. Math. 580, 39-100 (2005). Reviewer: Anton Deitmar (Tübingen) MSC: 11S37 11F70 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, J. Reine Angew. Math. 580, 39--100 (2005; Zbl 1074.11063) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Local Jacquet-Langlands correspondence and parametric degrees. (English) Zbl 1048.22008 Manuscr. Math. 114, No. 1, 1-7 (2004). Reviewer: Osman Bizim (Bursa) MSC: 22E50 11F70 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Manuscr. Math. 114, No. 1, 1--7 (2004; Zbl 1048.22008) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Local tame lifting for \(\text{GL}(n)\). IV: Simple characters and base change. (English) Zbl 1037.22032 Proc. Lond. Math. Soc., III. Ser. 87, No. 2, 337-362 (2003). Reviewer: Jeffrey Adler (Akron) MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Proc. Lond. Math. Soc. (3) 87, No. 2, 337--362 (2003; Zbl 1037.22032) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Generalized Whittaker models and the Bernstein center. (English) Zbl 1031.11028 Am. J. Math. 125, No. 3, 513-547 (2003). Reviewer: Martin Grabitz (Berlin) MSC: 11F70 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Am. J. Math. 125, No. 3, 513--547 (2003; Zbl 1031.11028) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Explicit unramified base change: \(\text{GL}(p)\) of a \(p\)-adic field. (English) Zbl 1012.22032 J. Number Theory 99, No. 1, 74-89 (2003). Reviewer: Jeffrey Adler (Akron) MSC: 22E50 11S37 11F70 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, J. Number Theory 99, No. 1, 74--89 (2003; Zbl 1012.22032) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy On the derived subgroups of certain unipotent subgroups of reductive groups over infinite fields. (English) Zbl 1022.20020 Transform. Groups 7, No. 3, 211-230 (2002). Reviewer: Li Fu-an (Beijing) MSC: 20G15 20F14 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Transform. Groups 7, No. 3, 211--230 (2002; Zbl 1022.20020) Full Text: DOI
Bushnell, Colin J. Representations of reductive \(p\)-adic groups: Localization of Hecke algebras and applications. (English) Zbl 1017.22011 J. Lond. Math. Soc., II. Ser. 63, No. 2, 364-386 (2001). Reviewer: Samuel James Patterson (Göttingen) MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell}, J. Lond. Math. Soc., II. Ser. 63, No. 2, 364--386 (2001; Zbl 1017.22011) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Torsion behaviour of epsilon-factors of pairs. (Sur le comportement, par torsion, des facteurs epsilon de paires.) (French) Zbl 0995.22004 Can. J. Math. 53, No. 6, 1141-1173 (2001). Reviewer: J.G.M.Mars (Utrecht) MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Can. J. Math. 53, No. 6, 1141--1173 (2001; Zbl 0995.22004) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy The local Rankin-Selberg convolution for \(GL(n)\): Divisibility of the conductor. (English) Zbl 1029.22024 Math. Ann. 321, No. 2, 455-461 (2001). Reviewer: Martin Grabitz (Berlin) MSC: 22E50 11F70 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Math. Ann. 321, No. 2, 455--461 (2001; Zbl 1029.22024) Full Text: DOI
Bushnell, Colin J.; Kutzko, Philip C. Types in reductive \(p\)-adic groups: The Hecke algebra of a cover. (English) Zbl 0969.22007 Proc. Am. Math. Soc. 129, No. 2, 601-607 (2001). Reviewer: Yuval Flicker (Columbus/Ohio) MSC: 22E50 22D99 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{P. C. Kutzko}, Proc. Am. Math. Soc. 129, No. 2, 601--607 (2001; Zbl 0969.22007) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Davenport-Hasse relations and an explicit Langlands correspondence. II: Twisting conjectures. (English) Zbl 1161.11409 J. Théor. Nombres Bordx. 12, No. 2, 309-347 (2000). MSC: 11S37 11F70 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, J. Théor. Nombres Bordx. 12, No. 2, 309--347 (2000; Zbl 1161.11409) Full Text: DOI Numdam EuDML
Bushnell, Colin J.; Henniart, Guy Computing the epsilon factors of pairs for \(GL(n)\) over a local field. (Calculus de facteurs epsilon de paires sur un corps local. II.) (French) Zbl 0969.22006 Compos. Math. 123, No. 1, 89-115 (2000). Reviewer: Yuval Flicker (Columbus/Ohio) MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Compos. Math. 123, No. 1, 89--115 (2000; Zbl 0969.22006) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Explicit Jacquet-Langlands correspondence. II: The case of equal degree and residual characteristic. (Correspondance de Jacquet-Langlands explicite. II: Le cas de degré égal à la caractéristique résiduelle.) (French) Zbl 1037.22031 Manuscr. Math. 102, No. 2, 211-225 (2000). Reviewer: Yuval Flicker (Columbus) MSC: 22E50 11S37 11F70 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Manuscr. Math. 102, No. 2, 211--225 (2000; Zbl 1037.22031) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Davenport-Hasse relations and an explicit Langlands correspondence. (English) Zbl 1029.11063 J. Reine Angew. Math. 519, 171-199 (2000). MSC: 11S37 11F70 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, J. Reine Angew. Math. 519, 171--199 (2000; Zbl 1029.11063) Full Text: DOI
Bushnell, Colin J.; Kutzko, Philip C. Semisimple types in \(GL_n\). (English) Zbl 0933.22027 Compos. Math. 119, No. 1, 53-97 (1999). Reviewer: Martin Grabitz (Berlin) MSC: 22E50 20G05 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{P. C. Kutzko}, Compos. Math. 119, No. 1, 53--97 (1999; Zbl 0933.22027) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Computation of the epsilon factors of pairs of \(GL_n\) over a local field. I. (Calculs de facteurs epsilon de paires pour \(GL_n\) sur un corps local. I.) (French) Zbl 0928.22016 Bull. Lond. Math. Soc. 31, No. 5, 534-542 (1999). Reviewer: Yuval Flicker (Columbus/Ohio) MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Bull. Lond. Math. Soc. 31, No. 5, 534--542 (1999; Zbl 0928.22016) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Local tame lifting for \(\text{GL}(n)\). II: Wildly ramified supercuspidals. (English) Zbl 0920.11079 Astérisque. 254. Paris: Société Mathématique de France, iv, 105 pp. (1999). Reviewer: Anton Deitmar (Heidelberg) MSC: 11S37 22E50 11F70 11-02 22-02 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Local tame lifting for \(\text{GL}(n)\). II: Wildly ramified supercuspidals. Paris: Société Mathématique de France (1999; Zbl 0920.11079)
Bushnell, Colin J.; Kutzko, Philip C. Smooth representations of reductive \(p\)-adic groups: structure theory via types. (English) Zbl 0911.22014 Proc. Lond. Math. Soc., III. Ser. 77, No. 3, 582-634 (1998). Reviewer: Yuval Z. Flicker (Columbus/Ohio) MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{P. C. Kutzko}, Proc. Lond. Math. Soc. (3) 77, No. 3, 582--634 (1998; Zbl 0911.22014) Full Text: DOI
Bushnell, Colin; Henniart, Guy Supercuspidal representations of GL\(_n\): Explicit Whittaker functions. (English) Zbl 0913.22013 J. Algebra 209, No. 1, 270-287 (1998). Reviewer: Eugene Kryachko (Kiev) MSC: 22E50 PDFBibTeX XMLCite \textit{C. Bushnell} and \textit{G. Henniart}, J. Algebra 209, No. 1, 270--287 (1998; Zbl 0913.22013) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy; Kutzko, Philip C. The local Langlands correspondence for \(\text{GL}_n\) and conductors of pairs. (Correspondance de Langlands locale pour \(\text{GL}_n\) et conducteurs de paires.) (French) Zbl 0915.11055 Ann. Sci. Éc. Norm. Supér. (4) 31, No. 4, 537-560 (1998). Reviewer: Y.Flicker (Columbus/Ohio) MSC: 11S37 22E50 11F70 PDFBibTeX XMLCite \textit{C. J. Bushnell} et al., Ann. Sci. Éc. Norm. Supér. (4) 31, No. 4, 537--560 (1998; Zbl 0915.11055) Full Text: DOI Numdam EuDML
Bushnell, Colin J.; Henniart, Guy M.; Kutzko, Philip C. Local Rankin-Selberg convolutions for \(\text{GL}_{n}\): explicit conductor formula. (English) Zbl 0899.22017 J. Am. Math. Soc. 11, No. 3, 703-730 (1998). Reviewer: J.G.M.Mars (Utrecht) MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} et al., J. Am. Math. Soc. 11, No. 3, 703--730 (1998; Zbl 0899.22017) Full Text: DOI
Bushnell, C. J.; Henniart, G. An upper bound on conductors for pairs. (English) Zbl 0884.11049 J. Number Theory 65, No. 2, 183-196 (1997). Reviewer: Yuval Z.Flicker (Columbus/Ohio) MSC: 11S37 20G25 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, J. Number Theory 65, No. 2, 183--196 (1997; Zbl 0884.11049) Full Text: DOI
Bushnell, Colin J.; Henniart, Guy Local tame lifting for \(GL(N)\). I: Simple characters. (English) Zbl 0878.11042 Publ. Math., Inst. Hautes Étud. Sci. 83, 105-233 (1996). Reviewer: A.Deitmar (Heidelberg) MSC: 11S37 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{G. Henniart}, Publ. Math., Inst. Hautes Étud. Sci. 83, 105--233 (1996; Zbl 0878.11042) Full Text: DOI Numdam EuDML
Bushnell, Colin J. Smooth representations of \(p\)-adic groups: The role of compact open subgroups. (English) Zbl 0856.22021 Chatterji, S. D. (ed.), Proceedings of the international congress of mathematicians, ICM ’94, August 3-11, 1994, Zürich, Switzerland. Vol. II. Basel: Birkhäuser. 770-779 (1995). Reviewer: Ye Jiachen (Trieste) MSC: 22E50 22E35 PDFBibTeX XMLCite \textit{C. J. Bushnell}, in: Proceedings of the international congress of mathematicians, ICM '94, August 3-11, 1994, Zürich, Switzerland. Vol. II. Basel: Birkhäuser. 770--779 (1995; Zbl 0856.22021)
Bushnell, Colin J.; Kutzko, Philip C. Simple types in \(GL(N)\): Computing conjugacy classes. (English) Zbl 0835.22009 Gindikin, Simon (ed.) et al., Representation theory and analysis on homogeneous spaces. A conference in memory of Larry Corwin, February 5-7, 1993, Rutgers Univ., New Brunswick, NJ, USA. Providence, RI: American Mathematical Society. Contemp. Math. 177, 107-135 (1994). Reviewer: H.Koch (Berlin) MSC: 22E35 22E50 20G25 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{P. C. Kutzko}, Contemp. Math. 177, 107--135 (1994; Zbl 0835.22009)
Bushnell, Colin J.; Kutzko, Philip C. The admissible dual of \(\text{SL}(N)\). II. (English) Zbl 0801.22011 Proc. Lond. Math. Soc., III. Ser. 68, No. 2, 317-379 (1994). Reviewer: A.Deitmar (Heidelberg) MSC: 22E50 11F85 11R39 22E35 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{P. C. Kutzko}, Proc. Lond. Math. Soc. (3) 68, No. 2, 317--379 (1994; Zbl 0801.22011) Full Text: DOI
Bushnell, Colin J.; Kutzko, Philip C. The admissible dual of \(\text{GL}(N)\) via compact open subgroups. (English) Zbl 0787.22016 Annals of Mathematics Studies. 129. Princeton, NJ: Princeton University Press,. ix, 313 pp. (1993). Reviewer: S. Gelbart (Rehovot) MSC: 22E50 22-02 11F70 11S37 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{P. C. Kutzko}, The admissible dual of \(\text{GL}(N)\) via compact open subgroups. Princeton, NJ: Princeton University Press (1993; Zbl 0787.22016) Full Text: DOI
Bushnell, Colin J.; Kutzko, Philip C. The admissible dual of \(SL(N)\). I. (English) Zbl 0787.22017 Ann. Sci. Éc. Norm. Supér. (4) 26, No. 2, 261-280 (1993). Reviewer: A.Deitmar (Heidelberg) MSC: 22E50 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{P. C. Kutzko}, Ann. Sci. Éc. Norm. Supér. (4) 26, No. 2, 261--280 (1993; Zbl 0787.22017) Full Text: DOI Numdam EuDML
Bushnell, C. J. Gauss sums and supercuspidal representations of \(\mathrm{GL}_ n\). (English) Zbl 0718.11062 Representation theory and number theory in connection with the local Langlands conjecture, Proc. Conf., Augsburg/FRG 1985, Contemp. Math. 86, 215-224 (1989). Reviewer: Richard A. Mollin (Calgary) MSC: 11S45 22E50 PDFBibTeX XML
Bushnell, Colin J. Hereditary orders, Gauss sums and supercuspidal representations of \(GL_ N\). (English) Zbl 0601.12025 J. Reine Angew. Math. 375/376, 184-210 (1987). MSC: 11S45 16H05 22E50 11S37 11L10 PDFBibTeX XMLCite \textit{C. J. Bushnell}, J. Reine Angew. Math. 375/376, 184--210 (1987; Zbl 0601.12025) Full Text: DOI Crelle EuDML
Bushnell, C. J.; Fröhlich, A. Non-Abelian congruence Gauss sums and p-adic simple algebras. (English) Zbl 0558.12007 Proc. Lond. Math. Soc., III. Ser. 50, 207-264 (1985). Reviewer: G.Henniart MSC: 11S45 22E50 16H05 11L10 PDFBibTeX XMLCite \textit{C. J. Bushnell} and \textit{A. Fröhlich}, Proc. Lond. Math. Soc. (3) 50, 207--264 (1985; Zbl 0558.12007) Full Text: DOI
Bushnell, Colin J.; Froehlich, Albrecht Gauss sums and p-adic division algebras. (English) Zbl 0507.12008 Lecture Notes in Mathematics. 987. Berlin-Heidelberg-New York-Tokyo: Springer-Verlag. XI, 187 p. DM 24.00; $ 10.40 (1983). MSC: 11S37 11S45 22E50 PDFBibTeX XML