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2006, Volume 149, Number 1  


Sylvester–'t Hooft generators and relations between them for $\mathfrak{sl}(n)$ and $\mathfrak{gl}(n|n)$
Ch. Sachse
3
Gibbs measures for the SOS model with four states on a Cayley tree
U. A. Rozikov, Sh. A. Shoyusupov
18
Dressing chain for the acoustic spectral problem
V. E. Adler, A. B. Shabat
32
Mixed-symmetry massless gauge fields in $AdS_5$
K. B. Alkalaev
47
Quantum entropy of Dirac fields in black holes
Li Gu Qiang
60
Polarization effects due to the mutual influence of trajectory parameters and polarization
N. R. Sadykov
65
Quaternionic vector coherent states and the supersymmetric harmonic oscillator
K. Thirulogasanthar, A. Krzyzak, Q. D. Katatbeh
80
Peculiarities of pair interaction in the four-band Hubbard model
D. F. Digor, P. Entel, V. A. Moskalenko, N. M. Plakida
99
Two-band superconductivity theory beyond the Migdal theorem
M. E. Palistrant, V. A. Ursu
111
Studying the properties of carbon nanotubes with the functional integration method
R. F. Akhmet'yanov, V. O. Ponomarev, O. A. Ponomarev, E. S. Shikhovtseva
127
Теоретическая и математическая физика Theoretical and Mathematical Physics
 
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