Results 41 to 50 of about 13,441 (193)
Parity results for broken 11-diamond partitions
Open Mathematics, 2019 Recently, Dai proved new infinite families of congruences modulo 2 for broken 11-diamond partition functions by using Hecke operators. In this note, we establish new parity results for broken 11-diamond partition functions.
Wu Yunjian
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Nonstandard representations of type C affine Hecke algebra from K-operators
, 2015 We construct nonstandard finite-dimensional representations of type C affine Hecke algebra from the viewpoint of quantum integrable models. There exists two classes of nonstandard solutions to the Yang-Baxter equation called the Cremmer-Gervais and ...
Motegi, Kohei
core +1 more source
Hecke Operators and Hilbert Modular Forms [PDF]
, 2008 Let F be a real quadratic field with ring of integers O and with class number 1. Let Gamma be a congruence subgroup of GL_2 (O). We describe a technique to compute the action of the Hecke operators on the cohomology H^3 (Gamma; C). For F real quadratic this cohomology group contains the cuspidal cohomology corresponding to cuspidal Hilbert modular ...
Gunnells, PE, Yasaki, D
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Magnetic Resonance in Medicine, Volume 95, Issue 1, Page 204-219, January 2026.Abstract Purpose Rotational invariants (RIs) are at the root of many dMRI applications. Among others, they are presented as a sensible way of reducing the dimensionality of biophysical models. While thermal noise impact on diffusion metrics has been well studied, little is known on its effect on spherical harmonics‐based RI (RISH) features and derived ...
Guillem París +5 more
wiley +1 more source
A note on the algebraic engineering of 4D N=2 super Yang–Mills theories
Physics Letters B, 2019 Some BPS quantities of N=1 5D quiver gauge theories, like instanton partition functions or qq-characters, can be constructed as algebraic objects of the Ding–Iohara–Miki (DIM) algebra. This construction is applied here to N=2 super Yang–Mills theories in
J.-E. Bourgine, Kilar Zhang
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Analytic continuation on Shimura varieties with $\mu$-ordinary locus
, 2016 We study the geometry of unitary Shimura varieties without assuming the existence of an ordinary locus. We prove, by a simple argument, the existence of canonical subgroups on a strict neighborhood of the $\mu$-ordinary locus (with an explicit bound). We
Bijakowski, Stéphane
core +3 more sources
Graphs of Hecke operators [PDF]
Algebra & Number Theory, 2013 Let $X$ be a curve over $\F_q$ with function field $F$. In this paper, we define a graph for each Hecke operator with fixed ramification. A priori, these graphs can be seen as a convenient language to organize formulas for the action of Hecke operators on automorphic forms.
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FTheoryTools: Advancing Computational Capabilities for F‐Theory Research
Fortschritte der Physik, Volume 74, Issue 1, January 2026.Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies +2 more
wiley +1 more source
Hecke operators on Hilbert-Siegel modular forms
, 2007 We define Hilbert-Siegel modular forms and Hecke "operators" acting on them. As with Hilbert modular forms, these linear transformations are not linear operators until we consider a direct product of spaces of modular forms (with varying groups), modulo ...
Caulk, Suzanne, Walling, Lynne H.
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Hecke modules for arithmetic groups via bivariant K -theory [PDF]
, 2018 Let Γ be a lattice in a locally compact group G. In earlier work, we used KK-theory to equip the K-groups of any Γ-C∗-algebra on which the commensurator of Γ acts with Hecke operators.
Adams +8 more
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