Matthew D. Kistler, Hasan Yüksel, Shin’ichiro Ando, John F. Beacom, and Yoichiro Suzuki Department of Physics, Ohio State University, Columbus, Ohio 43210, USA Center for Cosmology and Astro-Particle Physics, Ohio State University, Columbus, Ohio 43210, USA California Institute of Technology, Mail Code 350-17, Pasadena, California 91125, USA Department of Astronomy, Ohio State University, Colum...

We present a classification of the so-called “additive symmetric 2-cocycles” of arbitrary degree and dimension over Fp, along with a partial result and some conjectures for m-cocycles over Fp, m> 2. This expands greatly on a result originally due to Lazard and more recently investigated by Ando, Hopkins and Strickland, and together with their work this culminates in a complete classification of...

Using a previous classification result on symmetric additive 2-cocycles, we collect a variety of facts about the Lubin–Tate cohomology of certain formal groups to produce a presentation of the 2-primary component of the scheme of symmetric multiplicative 2-cocycles. This scheme classifies certain kinds of highly symmetric multiextensions, generalizing those studied by Mumford or Breen. A low-or...

High-Energy Spin Excitations in the Electron-Doped Superconductor Pr0:88LaCe0:12CuO4 with Tc 21 K Stephen D. Wilson, Shiliang Li, Hyungje Woo, Pengcheng Dai,* H. A. Mook, C. D. Frost, Seiki Komiya, and Yoichi Ando Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996-1200, USA Center for Neutron Scattering, Oak Ridge National Laboratory, Oak Ridge, Tenness...

Abstract. A model Hamiltonian representing the Cu spins in La2CuO4 in its lowtemperature body-centred orthorhombic phase, that includes both spin-orbit generated Dzyaloshinskii-Moriya interactions and interplanar exchange, is examined within the RPA utilizing a Tyablikov decoupling of various high-order Green’s functions. The magnetic susceptibility is evaluated as a function of temperature and...

In one of his recent papers, Molnár showed that if $\mathcal{A}$ is a von Neumann algebra without $I_1, I_2$-type direct summands, then any function from the positive definite cone to real numbers preserving Kubo-Ando power mean, for some $0 \neq p \in (-1,1),$ necessarily constant. It was shown in paper $I_1$-type algebras admit nontrivial $p$-power mean functionals, and it conjectured $I_2$-t...