1,267 research outputs found
The spectra of finite 3-transposition groups
We calculate the spectrum of the diagram for each finite -transposition
group. Such graphs with a given minimal eigenvalue have occurred in the context
of compact Griess subalgebras of vertex operator algebras
On primitive axial algebras of Jordan type
In this note we give an overview of our knowledge regarding primitive axial
algebras of Jordan type half and connections between -transposition groups
and Matsuo algebras. We also show that primitive axial algebras of Jordan type
admit a Frobenius form, for any .Comment: 10 page
General Eulerian Numbers and Eulerian Polynomials
In this paper, we will define general Eulerian numbers and Eulerian
polynomials based on general arithmetic progressions. Under the new
definitions, we have been successful in extending several well-known properties
of traditional Eulerian numbers and polynomials to the general Eulerian
polynomials and numbers.Comment: 14 page
Experimental consequences of family unification
Theories of family unification predict four left-handed and four right-handed families of quarks and leptons, all with masses below 265 GeV. The lightest mirror quark has a mass of less than 140 GeV. All charged leptons are lighter than 55 GeV, and the lightest is below 40 GeV. All five new neutrinos have masses less than 40 GeV and contribute to the width of the Z0. We study the decays of these new families, and discuss rare processes such as μ→eγ. We also examine proton decay, and show that it can proceed into e+π0 at the observable but acceptable rate of 1032±1 yr
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