Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
The differential calculus on 'non-standard' h-Minkowski spaces is given. In particular it is shown that, for them, it is possible to introduce coordinates and derivatives which are simultaneously hermitian.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
351-360
Opis fizyczny
Daty
wydano
1997
Twórcy
autor
- Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, E-46100-Burjassot (Valencia), Spain
autor
- Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, E-46071 Valencia, Spain
Bibliografia
- [1] J.A. de Azcárraga and F. Rodenas, J. Phys. A29, 1215 (1996).
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- [3] H. Ewen, O. Ogievetsky and J. Wess, Lett. Math. Phys. 22, 297 (1991).
- [4] V. Karimipour, Lett. Math. Phys. 30, 87 (1994); ibid. 35, 303 (1995).
- [5] L.D. Faddeev, N. Yu. Reshetikhin and L.A. Takhtajan, Alg. i Anal. 1, 178 (1989) (Leningrad Math. J. 1, 193 (1990)).
- [6] Yu. I. Manin, Quantum groups and non-commutative geometry, CRM, Univ. Montréal (1988); Commun. Math. Phys. 123, 163 (1989); Topics in non-commutative geometry, Princeton Univ. Press (1991); J. Wess and B. Zumino, Nucl. Phys. (Proc. Suppl.) 18B, 302-312 (1990).
- [7] S.L. Woronowicz and S. Zakrzewski, Compositio Math. 94, 211 (1994).
- [8] P. Podleś and S. Woronowicz, Commun. Math. Phys. 178, 61 (1996).
- [9] P. Podleś and S. Woronowicz, Commun. Math. Phys. 130, 381 (1990).
- [10] U. Carow-Watamura, M. Schlieker, M. Scholl and S. Watamura, Z.Phys. C48, 159 (1990); Int. J. Mod. Phys. A6, 3081 (1991).
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- [14] P.P. Kulish and E.K. Sklyanin, J. Phys. A25, 5963 (1992).
- [15] P.P. Kulish and R. Sasaki, Progr. Theor. Phys. 89, 741 (1993).
- [16] Majid S., in Quantum Groups, Lect. Notes Math. 1510, 79 (1992); J. Math. Phys. 32, 3246 (1991).
- [17] S. Majid, J. Math. Phys. 34, 1176 (1993); Commun. Math. Phys. 156, 607 (1993).
- [18] B. Zumino, Introduction to the differential geometry of quantum groups, in Mathematical Physics X, K. Schmüdgen ed., Springer-Verlag (1992), p. 20.
- [19] J.A. de Azcárraga, P.P. Kulish and F. Rodenas, Lett. Math. Phys. 32, 173 (1994).
- [20] J.A. de Azcárraga and F. Rodenas, Differential calculus on $q$-Minkowski space, in Quantum groups, J. Lukierski et al. eds., PWN (1994), p. 221.
- [21] P. Podleś, Commun. Math. Phys. 181, 569 (1996).
- [22] O. Ogievetsky and B. Zumino, Lett. Math. Phys. 25, 131 (1992).
- [23] U. Meyer, Commun. Math. Phys. 168, 249 (1995); S. Majid and U. Meyer, Z. Phys. C63, 357 (1994).
- [24] A.P. Isaev and A.A. Vladimirov, Lett. Math. Phys. 33, 297 (1995).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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