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Relevant bibliographies by topics / Simple supercuspidal representation

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Academic literature on the topic 'Simple supercuspidal representation'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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Journal articles on the topic "Simple supercuspidal representation"

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Blondel, Corinne, and Geo Kam-Fai Tam. "Base change for ramified unitary groups: The strongly ramified case." Journal für die reine und angewandte Mathematik (Crelles Journal) 2021, no. 774 (2021): 127–61. http://dx.doi.org/10.1515/crelle-2020-0049.

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Abstract We compute a special case of base change of certain supercuspidal representations from a ramified unitary group to a general linear group, both defined over a p-adic field of odd residual characteristic. In this special case, we require the given supercuspidal representation to contain a skew maximal simple stratum, and the field datum of this stratum to be of maximal degree, tamely ramified over the base field, and quadratic ramified over its subfield fixed by the Galois involution that defines the unitary group. The base change of this supercuspidal representation is described by a

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2

Adrian, Moshe, and Eyal Kaplan. "The Langlands parameter of a simple supercuspidal representation: symplectic groups." Ramanujan Journal 50, no. 3 (2018): 589–619. http://dx.doi.org/10.1007/s11139-018-0060-5.

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3

Kariyama, Kazutoshi. "On Types for Unramified p-Adic Unitary Groups." Canadian Journal of Mathematics 60, no. 5 (2008): 1067–107. http://dx.doi.org/10.4153/cjm-2008-048-7.

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AbstractLet F be a non-archimedean local field of residue characteristic neither 2 nor 3 equipped with a galois involution with fixed field F0, and let G be a symplectic group over F or an unramified unitary group over F0. Following the methods of Bushnell–Kutzko for GL(N, F), we define an analogue of a simple type attached to a certain skew simple stratum, and realize a type in G. In particular, we obtain an irreducible supercuspidal representation of G like GL(N, F).

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4

Luo, Caihua. "Rodier type theorem for generalized principal series." Mathematische Zeitschrift 299, no. 1-2 (2021): 897–918. http://dx.doi.org/10.1007/s00209-021-02723-9.

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AbstractGiven a regular supercuspidal representation $$\rho $$ ρ of the Levi subgroup M of a standard parabolic subgroup $$P=MN$$ P = M N in a connected reductive group G defined over a non-archimedean local field F, we serve you a Rodier type structure theorem which provides us a geometrical parametrization of the set $$JH(Ind^G_P(\rho ))$$ J H ( I n d P G ( ρ ) ) of Jordan–Hölder constituents of the Harish-Chandra parabolic induction representation $$Ind^G_P(\rho )$$ I n d P G ( ρ ) , vastly generalizing Rodier structure theorem for $$P=B=TU$$ P = B = T U Borel subgroup of a connected split

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Knightly, Andrew, and Charles Li. "SIMPLE SUPERCUSPIDAL REPRESENTATIONS OF $\operatorname{GL}(n)$." Taiwanese Journal of Mathematics 19, no. 4 (2015): 995–1029. http://dx.doi.org/10.11650/tjm.19.2015.3853.

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6

Imai, Naoki, and Takahiro Tsushima. "Local Jacquet–Langlands correspondences for simple supercuspidal representations." Kyoto Journal of Mathematics 58, no. 3 (2018): 623–38. http://dx.doi.org/10.1215/21562261-2017-0032.

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7

Adrian, Moshe, and Baiying Liu. "Some results on simple supercuspidal representations of GL (F)." Journal of Number Theory 160 (March 2016): 117–47. http://dx.doi.org/10.1016/j.jnt.2015.08.002.

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8

Shahidi, Freydoon, and Steven Spallone. "Residues of intertwining operators for SO*6 as character identities." Compositio Mathematica 146, no. 3 (2010): 772–94. http://dx.doi.org/10.1112/s0010437x09004515.

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AbstractWe show that the residue at s=0 of the standard intertwining operator attached to a supercuspidal representation π⊗χ of the Levi subgroup GL2(F)×E1 of the quasisplit group SO*6(F) defined by a quadratic extension E/F of p-adic fields is proportional to the pairing of the characters of these representations considered on the graph of the norm map of Kottwitz–Shelstad. Here π is self-dual, and the norm is simply that of Hilbert’s theorem 90. The pairing can be carried over to a pairing between the character on E1 and the character on E× defining the representation of GL2(F) when the cent

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9

Kaletha, Tasho. "Simple wild -packets." Journal of the Institute of Mathematics of Jussieu 12, no. 1 (2012): 43–75. http://dx.doi.org/10.1017/s1474748012000631.

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AbstractIn a recent paper, Gross and Reeder study the arithmetic properties of discrete Langlands parameters for semi-simple$p$-adic groups, and they conjecture that a special class of these – the simple wild parameters – should correspond to$L$-packets consisting of simple supercuspidal representations. We provide a construction of this correspondence, and show that the simple wild$L$-packets satisfy many expected properties. In particular, they admit a description in terms of the Langlands dual group, and contain a unique generic element for a fixed Whittaker datum. Moreover, we prove their

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10

Oi, Masao. "Endoscopic lifting of simple supercuspidal representations of SO2n+1 TO GL2n." American Journal of Mathematics 141, no. 1 (2019): 169–217. http://dx.doi.org/10.1353/ajm.2019.0004.

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Dissertations / Theses on the topic "Simple supercuspidal representation"

1

Ye, Rongqing. "Explicit formulas for local factors of supercuspidal representations of $GL_n$ and their applications." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1558359289350258.

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Book chapters on the topic "Simple supercuspidal representation"

1

Adrian, Moshe. "The Character of a Simple Supercuspidal Representation of SL(2, F)." In Progress in Mathematics. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-6628-4_4.

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