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Maximal Subalgebras for Modular Graded Lie Superalgebras of Odd Cartan Type
The purpose of this paper is to determine all maximal graded subalgebras of
the four infinite series of finite-dimensional graded Lie superalgebras of odd
Cartan type over an algebraically closed field of characteristic . All
maximal graded subalgebras consist of three types (\MyRoman{1}), (\MyRoman{2})
and (\MyRoman{3}). Maximal graded subalgebras of type (\MyRoman{3}) fall into
reducible maximal graded subalgebras and irreducible maximal graded
subalgebras. In this paper we classify maximal graded subalgebras of types
(\MyRoman{1}), (\MyRoman{2}) and reducible maximal g raded subalgebras.The
classification of irreducible maximal graded subalgebras is reduced to that of
the irreducible maximal subalgebras of the classical Lie superalgebra
.Comment: For the final version, see Transformation Groups
20(4)(2015)1075--110
Excitation function of initial temperature of heavy flavor quarkonium emission source in high energy collisions
The transverse momentum spectra of , , and produced in proton-proton (+), proton-antiproton
(+), proton-lead (+Pb), gold-gold (Au+Au), and lead-lead (Pb+Pb)
collisions over a wide energy range are analyzed by the (two-component) Erlang
distribution, the Hagedorn function (the inverse power-law), and the
Tsallis-Levy function. The initial temperature is obtained from the color
string percolation model due to the fit by the (two-component) Erlang
distribution in the framework of multisource thermal model. The excitation
functions of some parameters such as the mean transverse momentum and initial
temperature increase from dozens of GeV to above 10 TeV. The mean transverse
momentum and initial temperature decrease (increase slightly or do not change
obviously) with the increase of rapidity (centrality). Meanwhile, the mean
transverse momentum of is larger than that of
and , and the initial temperature for
emission is higher than that for and emission, which shows
a mass-dependent behavior.Comment: 26 pages, 12 figures. Advances in High Energy Physics, accepte
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