Quasi-commutative polynomial algebras and the power property of 2 × 2 quantum matrices

• Autorzy: Piotr Jędrzejewicz
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1996
• Tom: 71
• Numer: 2
• Strony: 217-224

Daty

wydano

1996

otrzymano

1996-02-20

poprawiono

1996-03-15

Twórcy

autor

Piotr Jędrzejewicz

• Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Bibliografia

• [1] E. Corrigan, D. B. Fairlie, P. Fletcher and R. Sasaki, Some aspects of quantum groups and supergroups, J. Math. Phys. 31 (1990), 776-780.
• [2] H. Ewen, O. Ogievetsky and J. Wess, Quantum matrices in two dimensions, Lett. Math. Phys. 22 (1991), 297-305.
• [3] B. A. Kupershmidt, The quantum group $GL_h(2)$, J. Phys. A 25 (1992), L1239-L1244.
• [4] Yu. I. Manin, Quantum Groups and Noncommutative Geometry, Université de Montréal, 1988.
• [5] Yu. I. Manin, Topics in Noncommutative Geometry, Princeton University Press, 1991.
• [6] E. E. Mukhin, Quantum de Rham complexes, Comm. Algebra 22 (1994), 451-498.
• [7] O. Ogievetsky and J. Wess, Relations between $GL_p,q(2)$'s, Z. Phys. C 50 (1991), 123-131.
• [8] A. Sudbery, Consistent multiparameter quantisation of GL(n), J. Phys. A 23 (1990), L697-L704.
• [9] T. Umeda and M. Wakayama, Powers of 2 × 2 quantum matrices, Comm. Algebra 21 (1993), 4461-4465.
• [10] S. Vokos, J. Wess and B. Zumino, Analysis of the basic matrix representation of $GL_q(2,C)$, Z. Phys. C 48 (1990), 65-74.