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math-ph2017★ 2 cited
Multipartite Generating Functions and Infinite Products for Quantum Invariants
A. A. Bytsenko, M. Chaichian
We show that multipartite generation functions can be written in terms of the Bell polynomials (known as Faà di Bruno's formula) and the Ruelle spectral functions, whose spectrum i…
math-ph2010★ 6 cited
Covariant star product on symplectic and Poisson spacetime manifolds
M. Chaichian, M. Oksanen, A. Tureanu +1
A covariant Poisson bracket and an associated covariant star product in the sense of deformation quantization are defined on the algebra of tensor-valued differential forms on a sy…
math-ph2008★ 6 cited
From Quantum Affine Symmetry to Boundary Askey-Wilson Algebra and Reflection Equation
B. Aneva, M. Chaichian, P. P. Kulish
Within the quantum affine algebra representation theory we construct linear covariant operators that generate the Askey-Wilson algebra. It has the property of a coideal subalgebra,…