Zoran Skoda ncFourier

Cf. quantum group Fourier transform, spin foam, Etera Livine, Boulatov model.

• Laurent Freidel, Shahn Majid, Noncommutative harmonic analysis, sampling theory and the Duflo map in $2+1$2+1 quantum gravity, Classical Quantum Gravity 25 (2008), no. 4, 045006 MR2009f:83058, doi, hep-th/0601004

• Carlos Guedes, Daniele Oriti, Matti Raasakka, Quantization maps, algebra representation and non-commutative Fourier transform for Lie groups, arxiv/1301.7750

• Laurent Freidel, Etera R. Livine, The fine structure of $SU(2)$ intertwiners from $U(N)$ representations, J. Math. Phys. 51 (2010), no. 8, 082502, MR2011j:81140, doi

• Etera R. Livine, Matrix models as non-commutative field theories on $\mathbf{R}^3$, Classical Quantum Gravity 26 (2009), no. 19, 195014, doi

• L. Freidel, E. R. Livine, 3D quantum gravity and effective noncommutative quantum field theory, Phys. Rev. Lett. 96 (2006), no. 22, 221301, 4 pp.; MR2007j:83051, doi, hep-th/0512113

• Winston J. Fairbairn, Etera R. Livine, 3D spinfoam quantum gravity: matter as a phase of the group field theory-, Classical Quantum Gravity 24 (2007), no. 20, 5277–5297 MR2351342,doi

• Aristide Baratin, Daniele Oriti, Group field theory with noncommutative metric variables, Phys. Rev. Lett. 105 (2010), no. 22, 221302, MR2745813, doi

• Aristide Baratin, Florian Girelli, Daniele Oriti, Diffeomorphisms in group field theories, Physical Review D83, Issue 10, id. 104051, doi, arxiv/1101.0590

• Florian Girelli, Etera R. Livine, A deformed Poincaré invariance for group field theories, Classical Quantum Gravity 27 (2010), no. 24, 245018 MR2011j:83018, doi

• S. Galluccio, F. Lizzi, P. Vitale, Twisted noncommutative field theory with the Wick-Voros and Moyal products, Phys. Rev. D78 (2008), no. 8, 085007, 14 pp. arxiv/0810.2095, 2010e:81254, doi

• L. Freidel and E. R. Livine, Ponzano-Regge model revisited. III: Feynman diagrams and effective field theory, hep-th/0502106.

• Florian Girelli, Emergence of non-commutative space-time from spinfoam model, slides