Abstract
We construct the inhomogeneous quantum groups with continuous parameters which leave the boson and fermion algebras of field theory invariant.
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Biedernharn, L.C., Lohe, M.A.: Quantum Group Symmetry and Q-Tensor Algebras. World Scientific, Singapore (1995)
Drinfel’d, V.G.: In: Proceedings of International Congress of Mathematicians, vol. 1, pp. 798–820. Berkeley, California, USA. Academic Press, New York (1986)
Woronowicz, S.L.: Commun. Math. Phys. 111, 613 (1987)
Pusz, W., Woronowicz, S.L.: Rep. Math. Phys. 27, 231 (1989)
Arik, M., Kayserilioğlu, U.: Quantum invariance group of fermions and bosons. arXiv:hep-th/0304185 (2003)
Arık, M., Gün, S., Yıldız, A.: Invariance quantum group of the fermionic oscillator. Eur. Phys. J. C 27, 453 (2003)
Weil, A.: Act. Math. 111, 143 (1964)
Altintas, A.A., Arik, M.: Mod. Phys. Lett. A 23(8), 617 (2008)
Berezin, F.A.: The Method of Second Quantization. Academic Press, New York (1966)
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Altıntaṣ, A.A., Arık, M. The Inhomogeneous Invariance Quantum Group of Particle Algebras with Continuous Parameters. Int J Theor Phys 48, 1534–1538 (2009). https://doi.org/10.1007/s10773-009-0004-3
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DOI: https://doi.org/10.1007/s10773-009-0004-3