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Noncommutative structures in mathematics and physics. Proceedings of the congress, Brussels, Belgium, July 22–26, 2008. Contactforum. (English) Zbl 1192.00072

Brussel: Koninklijke Vlaamse Academie van Belgie voor Wetenschappen en Kunsten (ISBN 978-90-6569-061-6/pbk). 263 p. (2010).

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Contents: N. Aizawa and R. Chakrabarti, Noncommutative coherent states for quantum groups (15–25); J. E. Andersen and J. Fjelstad, On reducibility of mapping class group representations: the \(\text{SU}(N)\) case (27–45); Sebastian Burciu, On the classification of semisimple Hopf algebras: structure and applications (47–62); S. Çelik and E. Saltürk, A differential calculus on \(h\)-superspace (63–70); O. Cerbu and D. Botnaru, Some properties of semireflexivity (71–84); F. D’Andrea and G. Landi, Geometry of the quantum projective plane (85–102);
A. Davydov, Twisted automorphisms of Hopf algebras (103–130); A. Davydov, Twisted automorphisms of group algebras (131–150); T. Ernst, \(q\)-deformed matrix pseudo-groups (151–162); G. Fiore, Noncommutative spaces with twisted symmetries and second quantization (163–177); D. Hammaoui and E. H. Tahri, Quantum symmetries of higher Coxeter-Dynkin graphs. A non-commutative case: the \(D3\) graph of \(\text{SU}(3)\) system (179–192); E. Hoefel, DGLA structure on the deformation complex of Leibniz pairs (193–200);
N. Kamiya, On Lie algebras and triple systems (201–208); E. Paal and J. Virkepu, 2D binary operadic Lax representation for harmonic oscillator (209–216); Liang Kong and I. Runkel, Algebraic structures in Euclidean and Minkowskian two-dimensional conformal field theory (217–238); Y. Shibukawa, Survey on dynamical Yang-Baxter maps (239–244); S. Waldmann, Covariant strong Morita theory of star product algebras (245–258); M. Yakimov, Cyclicity of Lusztig’s stratification of Grassmannians and Poisson geometry (259–263).
The articles of this volume will be reviewed individually.
Indexed articles:
Aizawa, N.; Chakrabarti, R., Noncommutative coherent states for quantum groups, 15-25 [Zbl 1195.81075]
Andersen, J. E.; Fjelstad, J., On reducibility of mapping class group representations: the \(SU(N)\) case, 27-45 [Zbl 1195.81108]
Burciu, Sebastian, On the classification of semisimple Hopf algebras: structure and applications., 47-62 [Zbl 1204.16021]
Çelik, S.; Saltürk, E., A differential calculus on \(h\)-superspace, 63-70 [Zbl 1195.81074]
Cerbu, O.; Botnaru, D., Some properties of semireflexivity, 71-84 [Zbl 1235.46073]
d’Andrea, F.; Landi, G., Geometry of the quantum projective plane, 85-102 [Zbl 1195.81081]
Davydov, A., Twisted automorphisms of Hopf algebras., 103-130 [Zbl 1205.16026]
Davydov, A., Twisted automorphisms of group algebras., 131-150 [Zbl 1205.16027]
Ernst, T., \(Q\)-deformed matrix pseudo-groups, 151-162 [Zbl 1195.81078]
Fiore, G., Noncommutative spaces with twisted symmetries and second quantization, 163-177 [Zbl 1195.81112]
Hammaoui, D.; Tahri, E. H., Quantum symmetries of higher Coxeter-Dynkin graphs. A noncommutative case: the \({\mathcal D}_3\) graph of \(SU(3)\) system, 179-192 [Zbl 1202.81119]
Hoefel, E., DGLA structure on the deformation complex of Leibniz pairs, 193-200 [Zbl 1259.17019]
Kamiya, N., On Lie algebras and triple systems, 201-208 [Zbl 1257.17003]
Paal, E.; Virkepu, J., 2D binary operadic Lax representation for harmonic oscillator, 209-216 [Zbl 1195.81053]
Kong, L.; Runkel, I., Algebraic structures in Euclidean and Minkowskian two-dimensional conformal field theory, 217-238 [Zbl 1195.81107]
Shibukawa, Y., Survey on dynamical Yang-Baxter maps, 239-244 [Zbl 1195.81056]
Waldmann, S., Covariant strong Morita theory of star product algebras, 245-258 [Zbl 1195.81083]
Yakimov, M., Cyclicity of Lusztig’s stratification of Grassmannians and Poisson geometry, 259-263 [Zbl 1197.53112]

MSC:

00B25 Proceedings of conferences of miscellaneous specific interest
00A79 Physics
81-06 Proceedings, conferences, collections, etc. pertaining to quantum theory
16-06 Proceedings, conferences, collections, etc. pertaining to associative rings and algebras
16Txx Hopf algebras, quantum groups and related topics
81Rxx Groups and algebras in quantum theory
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