Abstract
An h-deformation of a (graded) Hopf algebra of functions on supergroup GL(1∣1) is introduced via a contraction of GL q (1∣1). The deformation parameter h is odd (Grassmann). A related differential calculus on h-superplane is presented.
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References
DemidovE. E., ManinYu, I., MukhinE. E. and ZhdanovichD. V.: Prog. Theoret. Phys. Suppl. 102 (1990), 203.
EwenH., OgievetskyO. and WessJ.: Lett. Math. Phys. 22 (1991), 297.
ZakrzewskiS.: Lett. Math. Phys. 22 (1991), 287.
OhnCh.: Lett. Math. Phys. 25 (1992), 85.
Kupershmidt, B. A.: J. Phys. A: Math. Gen. 25 (1992), L1239.
KarimipourV.: Lett. Math. Phys. 30 (1994), 87.
AghamohammadiA.: Modern Phys. Lett. Math. A 8 (1993), 2607.
Aghamohammdi, A., Khorrami, M. and Shariati, A.: J. Phys. A: Math. Gen. 28 (1995), L225 and references therein.
ReshetikhinN. Yu, TakhtajanL. A. and FaddeevL. D.: Leningrad Math. J. 1 (1990), 193.
WessJ. and ZuminoB.: Nuclear Phys. Proc. Suppl. B 18 (1990), 302.
SchmidkeW. B., VokosS. P. and ZuminoB.: Z. Phys. C 48 (1990), 249.
DabrowskiL. and Wang LuYu.: Phys. Lett. B 266 (1991), 51.
Manin, Yu. I.: Quantum groups and non-commutative geometry, CRM, Universite de Montreal, 1988.
Lukierski, J., Ruegg, H. and Tolstoy, V. N.: ICTP Preprint, 1995.
CeleghiniE., GiachettiR., SoraceE. and TarliniM.: J. Math. Phys. 32 (1991), 1159.
LukierskiJ. NowickiA., RueggH. and TolstoyV. N.: Phys. Lett. B 264 (1991), 331.
WoronowiczS. L.: Rep. Math. Phys. 30 (1991), 259.
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Dabrowski, L., Parashar, P. h-Deformation of GL(1∣1). Lett Math Phys 38, 331–336 (1996). https://doi.org/10.1007/BF00398357
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DOI: https://doi.org/10.1007/BF00398357