On the relation of Manin's quantum plane and quantum Clifford algebras

Czechoslovak Journal of Physics

Volumn 50, Issue 11, 2000, Pages 1221-1228

  Fauser, Bertfried ^a  

^a UNIVERSITY OF KONSTANZ   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034557454     PISSN: 00114626     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022800705553     Document Type: Article

References (20)

1. Y. Manin: Quantum Groups and Non-Commutative Geometry, Centre de Recherches Mathématiques, Université de Montréal, 1988.
2. S.L. Woronowicz: Commun. Math. Phys. 111 (1987) 613; 122 (1989) 125.
3. S.L. Woronowicz: Commun. Math. Phys. 111 (1987) 613; 122 (1989) 125.
4. D. Hestenes: Acta Appl. Math. 23 (1991) 65.
5. B. Fauser: J. Phys. A: Math. Gen. 32 (1999) 1919.
6. B. Fauser: in GROUP22, XXII Int. Colloquium on Grp. Theor. Meth. in Phys. (Eds. S.P. Corney, R. Delbourgo, and P.D. Jarvis), International Press, Cambridge (Ma.), 1999, p. 413.
7. B. Fauser and R. Ablamowicz: in Clifford Algebras and their Applications in Mathematical Physics (Eds. R. Ablamowicz, B. Fauser), Birkhäuser, Boston, 2000, p. 347.
8. I. Porteous: Topological Geometry, Van Nostrand, New York, 1969.
9. J. Maks: Modulo (1,1) periodicity of Clifford algebras and the generalized (anti)-Möbius transformation, Thesis, TU Delft, 1989.
10. P. Budinich and A. Trautman: The Spinorial Chessboard, Trieste Notes in Physics, Springer, Berlin, 1988.
11. A. Micalli: in Clifford Algebras and Spinor Structures (Eds. R. Ablamowicz and P. Lounesto), Kluwer, Dordrecht, 1995, p. ix.
12. C. Chevalley: The Algebraic Theory of Spinors, Columbia University Press, New York, 1954.
13. Z. Oziewicz: in Clifford algebras and their application in mathematical physics, Canterbury 1985 (Eds. J.S.R. Chisholm and A.K. Common) Kluwer, Dordrecht, 1986, p. 245.
14. B. Fauser: On the Hopf algebraic origin of Wick normal-ordering, submitted; hep-th/0007032.
15. B. Fauser: J. Math. Phys. 39 (1998) 4928.
16. H. Weyl: Raum - Zeit - Materie, 7th ed., Springer, Heidelberg, 1988.
17. K.Th. Vahlen: Math. Ann. 55 (1902) 585.
18. R. Ablamowicz: in Clifford (Geometric) Algebras (Ed. W.E. Baylis), Birkhäuser, Boston, 1996, p. 167; available at http://math.tntech.edu/rafal/cliff4/
19. A.J. Hahn: Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups, Springer, New York, 1994.
20. G. Fiore: in Clifford algebras and their application in mathematical physics (Eds. R. Ablamowicz and B. Fauser), Birkhäuser, Boston, 2000, p. 269.