Results 21 to 30 of about 663 (54)
Quasitriangular coideal subalgebras of Uq(g) in terms of generalized Satake diagrams
Bulletin of the London Mathematical Society, Volume 52, Issue 4, Page 693-715, August 2020., 2020 Abstract Let g be a finite‐dimensional semisimple complex Lie algebra and θ an involutive automorphism of g. According to Letzter, Kolb and Balagović the fixed‐point subalgebra k=gθ has a quantum counterpart B, a coideal subalgebra of the Drinfeld–Jimbo quantum group Uq(g) possessing a universal K‐matrix K.
Vidas Regelskis, Bart Vlaar
wiley +1 more source
2‐adic slopes of Hilbert modular forms over Q(5)
Bulletin of the London Mathematical Society, Volume 52, Issue 4, Page 716-729, August 2020., 2020 Abstract We show that for arithmetic weights with a fixed finite‐order character, the slopes of Up for p=2 (which is inert) acting on overconvergent Hilbert modular forms of level U0(4) are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight 3.
Christopher Birkbeck
wiley +1 more source
p‐adic L‐functions on metaplectic groups
Journal of the London Mathematical Society, Volume 102, Issue 1, Page 229-256, August 2020., 2020 Abstract With respect to the analytic‐algebraic dichotomy, the theory of Siegel modular forms of half‐integral weight is lopsided; the analytic theory is strong, whereas the algebraic lags behind. In this paper, we capitalise on this to establish the fundamental object needed for the analytic side of the Iwasawa main conjecture — the p‐adic L‐function ...
Salvatore Mercuri
wiley +1 more source
On the Jacquet Conjecture on the Local Converse Problem for p-adic GL_n [PDF]
, 2016 Based on previous results of Jiang, Nien and the third author, we prove that any two minimax unitarizable supercuspidals of GL_N that have the same depth and central character admit a special pair of Whittaker functions. This result gives a new reduction
Adrian, Moshe +3 more
core +1 more source
Linear correlations of multiplicative functions
Proceedings of the London Mathematical Society, Volume 121, Issue 2, Page 372-425, August 2020., 2020 Abstract We prove a Green–Tao type theorem for multiplicative functions.
Lilian Matthiesen
wiley +1 more source
A generalization of a theorem of Rodgers and Saxl for simple groups of bounded rank
Bulletin of the London Mathematical Society, Volume 52, Issue 3, Page 464-471, June 2020., 2020 Abstract We prove that if G is a finite simple group of Lie type and S1,⋯,Sk are subsets of G satisfying ∏i=1k|Si|⩾|G|c for some c depending only on the rank of G, then there exist elements g1,⋯,gk such that G=(S1)g1⋯(Sk)gk. This theorem generalizes an earlier theorem of the authors and Short.
N. Gill, L. Pyber, E. Szabó
wiley +1 more source
Central L‐values of elliptic curves and local polynomials
Proceedings of the London Mathematical Society, Volume 120, Issue 5, Page 742-769, May 2020., 2020 Abstract Here we study the recently introduced notion of a locally harmonic Maass form and its applications to the theory of L‐functions. In particular, we find a criterion for vanishing of certain twisted central L‐values of a family of elliptic curves, whereby vanishing occurs precisely when the values of two finite sums over canonical binary ...
Stephan Ehlen +3 more
wiley +1 more source
Une remarque sur le degré formel d’une série discrète d’un groupe linéaire général $p$-adique [PDF]
, 2006 International ...
Heiermann, Volker
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Contragredient representations and characterizing the local Langlands correspondence
, 2015 We consider the question: what is the contragredient in terms of L-homomorphisms? We conjecture that it corresponds to the Chevalley automorphism of the L-group, and prove this in the case of real groups.
Adams, Jeffrey, Vogan Jr, David A.
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Distinguished non-Archimedean representations
, 2004 For a symmetric space (G,H), one is interested in understanding the vector space of H-invariant linear forms on a representation \pi of G. In particular an important question is whether or not the dimension of this space is bounded by one.
AC Kable +21 more
core +2 more sources