q-Deformations of 3-Lie algebras and representations of q-3-Lie algebras are discussed. A q-3-Lie algebra (A, [, ,]q, [, ,]'q, Ja), where q ∈ F and q ≠ 0, is a vector space A over a field F with 3-cry linear mult...
Supported by National Natural Science Foundation of China (Grant No. 10825101)
The q-deformation of W(2, 2) Lie algebra is well defined based on a realization of this Lie algebra by using the famous bosonic and fermionic oscillators in physics. Furthermore, the quantum group structures on the ...
Supported by the Natural Science Foundation of the Education Department of Anhui Province (KJ2009B056Z);the Special Foundation of Talent Introduction in Anhui Science and Technology University (ZRC2008184)
The q-deformed Fermi-Dirac distribution is used to study the high-temperature(T TF) ∨behavior of a relativistic q-deformed ideal Fermi gas. The effects of the q-deformation and relativity on the properties of the s...
Project Nos.10571065 and 10401011 supported by NSFC
The classical Levy-Meixner polynomials are distinguished through the special forms of their generating functions. In fact, they are completely determined by 4 parameters: c1, c2,γ and β. In this paper, for-1 〈q〈 ...
From RTT relations the integrable Hamiltonian of the trigonometric Goryachev\|Chaplygin gyrostat is established, which can be reduced to the Hamiltonian of t\|j model by using multi\|fermion realization of \%SU\-q(2)\...