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CoverBanach center publications. Vol.93: Algebra, geometry and mathematical physics / ed. by V.Abramov [et al.].; Polish academy of sciences, Institute of mathematics. - Warszawa: Instytut Matematyczny PAN, 2011. - 288 p. - Incl. bibl. ref. - ISBN 978-83-86806-11-9; ISSN 0137-6934
 

Место хранения: 013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents
 
Algebraic structures in physics
V. Abramov and S. Shitov, Ternary algebras and calculus of
   cubic matrices ............................................ 9-18
G. Fløystad and J.E. Vatne, Artin-Schelter regular
   algebras of dimension five ............................... 19-39
T.S. Gustavsen and R. Ile, The deformation relation on
   the set of Cohen-Macaulay modules on a quotient
   surface singularity ...................................... 41-50
R. Kerner, Ternary symmetries and the Lorentz group ......... 51-58
N. Kamiya, D. Mondoc and S. Оkubо, A review on
   δ-structurable algebras .................................. 59-67
E. Eriksen and A. Siqveland, Geometry of noncommutative
   algebras ................................................. 69-82
N.I. Stoilova and J. Van der Jeugt, Explicit
   representations of classical Lie superalgebras in
   a Gelfand-Zetlin basis ................................... 83-93

Applications of Lie theory
R. Cherniha and S. Kovalenko, Lie symmetry of a class of
   nonlinear boundary value problems with free
   boundaries .............................................. 95-104
R. Cherniha and O. Pliukhin, Nonlinear evolution
   equations with exponential non-linearities:
   conditional symmetries and exact solutions ............. 105-115
A.I. Nizhnikov and I.A. Shilin, Some special functions
   related to unimodular pseudo-orthogonal groups ......... 117-127
M. Schlichenmaier, Almost-graded central extensions of
   Lax operator algebras .................................. 129-144

Various aspects of quantization
D. Gurevich and P. Saponov, Quantization of pencils
   with a gl-type Poisson center and braided geometry ..... 145-162
Тн. E. Kouloukas and V.G. Papageorgiou, Entwining Yang-
   Baxter maps and integrable lattices .................... 163-175
U. Krähmer and E. Wagner, Twisted spectral triples and
   covenant differential calculi .......................... 177-188
S. Lievens and J. Van der Jeugt, Spectrum generating
   functions for oscillators in Wigner's quantization ..... 189-197
E. Paal and J. Virkepu, Jacobi operators of quantum
   counterparts of three-dimensional real Lie algebras
   over the harmonic oscillator ........................... 199-209
C. Stigner, Factorization constraints and boundary
   conditions in rational CFT ............................. 211-223
E. Wagner, Restricting the bi-equivariant spectral
   triple on quantum SU(2) to the Podleś spheres .......... 225-240

Applications of differential geometry
J. Hrdina, Remarks on F-planar curves and their
   generalizations ........................................ 241-249
M. Kureš, On some directions in the development of jet
   calculus ............................................... 251-260
A. Szczepkowska, A. Tralle and A. Woike, On curvature
   constructions of symplectic forms ...................... 261-269
P. Vašík, On third order semiholondmic prolongation of
   a connection ........................................... 271-276
S. Ianuş, G.E. Vîlcu and R.C. Voicu, Harmonic maps and
   Riemannian submersions between manifolds endowed with
   special structures ..................................... 277-288

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