메뉴 건너뛰기




Volumn 25, Issue 1-2, 1998, Pages 119-140

Classification of bicovariant differential calculi

Author keywords

1 Form; Differential calculus; Non commutative geometry; Quantum double; Quantum group; Quantum tangent space

Indexed keywords


EID: 0032043759     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(97)00025-9     Document Type: Article
Times cited : (45)

References (23)
  • 1
    • 25444450141 scopus 로고
    • Quantum group gauge theory on quantum spaces
    • Erratum 167 (1995) 235
    • [1] T. Brzeziński and S. Majid, Quantum group gauge theory on quantum spaces, Comm. Math. Phys. 157 (1993) 591-638; Erratum 167 (1995) 235.
    • (1993) Comm. Math. Phys. , vol.157 , pp. 591-638
    • Brzeziński, T.1    Majid, S.2
  • 2
    • 1542798257 scopus 로고
    • Differential calculus on compact matrix pseudogroups (quantum groups)
    • [2] S.L. Woronowicz, Differential calculus on compact matrix pseudogroups (quantum groups), Comm. Math. Phys. 122 (1989) 125-170.
    • (1989) Comm. Math. Phys. , vol.122 , pp. 125-170
    • Woronowicz, S.L.1
  • 3
    • 0040108756 scopus 로고
    • Classification of bicovariant differential calculi on quantum groups
    • [3] K. Schmüdgen and A. Schüler, Classification of bicovariant differential calculi on quantum groups, Comm. Math. Phys. 170 (1995) 315-335.
    • (1995) Comm. Math. Phys. , vol.170 , pp. 315-335
    • Schmüdgen, K.1    Schüler, A.2
  • 4
    • 0010070262 scopus 로고
    • A class of bicovariant differential calculi on Hopf algebras
    • [4] T. Brzeziński and S. Majid, A class of bicovariant differential calculi on Hopf algebras, Lett. Math. Phys. 26 (1992) 67-78.
    • (1992) Lett. Math. Phys. , vol.26 , pp. 67-78
    • Brzeziński, T.1    Majid, S.2
  • 5
    • 0000481618 scopus 로고
    • Quantum groups
    • ed. A. Gleason Amer. Math. Soc., Providence, RI
    • [5] V.G. Drinfeld, Quantum groups, in: Proc. ICM, ed. A. Gleason (Amer. Math. Soc., Providence, RI, 1987) pp. 798-820.
    • (1987) Proc. ICM , pp. 798-820
    • Drinfeld, V.G.1
  • 6
    • 84963141267 scopus 로고
    • Doubles of quasitriangular Hopf algebras
    • [6] S. Majid, Doubles of quasitriangular Hopf algebras, Comm. Algebra 19 (11) (1991) 3061-3073.
    • (1991) Comm. Algebra , vol.19 , Issue.11 , pp. 3061-3073
    • Majid, S.1
  • 8
    • 0038876238 scopus 로고
    • Solutions of the Yang-Baxter equations from braided-Lie algebras and braided groups
    • [8] S. Majid, Solutions of the Yang-Baxter equations from braided-Lie algebras and braided groups, J. Knot Th. Ram. 4 (1995) 673-697.
    • (1995) J. Knot Th. Ram. , vol.4 , pp. 673-697
    • Majid, S.1
  • 9
    • 22244487904 scopus 로고
    • Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group
    • [9] S. Majid, Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group, Comm. Math. Phys. 156 (1993) 607-638.
    • (1993) Comm. Math. Phys. , vol.156 , pp. 607-638
    • Majid, S.1
  • 10
    • 0000545097 scopus 로고
    • Quantum and braided Lie algebras
    • [10] S. Majid, Quantum and braided Lie algebras, J. Geom. Phys. 13 (1994) 307-356.
    • (1994) J. Geom. Phys. , vol.13 , pp. 307-356
    • Majid, S.1
  • 11
    • 0001056033 scopus 로고
    • Braided groups and algebraic quantum field theories
    • [11] S. Majid, Braided groups and algebraic quantum field theories, Lett. Math. Phys. 22 (1991) 167-176.
    • (1991) Lett. Math. Phys. , vol.22 , pp. 167-176
    • Majid, S.1
  • 12
    • 0040052399 scopus 로고
    • Bialgebras of type I
    • [12] W. Nichols, Bialgebras of type I, Comm. Algebra 15 (1978) 1521-1552.
    • (1978) Comm. Algebra , vol.15 , pp. 1521-1552
    • Nichols, W.1
  • 13
    • 22244444779 scopus 로고
    • Differential calculus on quantized simple Lie groups
    • [13] B. Jurco, Differential calculus on quantized simple Lie groups, Lett. Math. Phys. 22 (1991) 177-186.
    • (1991) Lett. Math. Phys. , vol.22 , pp. 177-186
    • Jurco, B.1
  • 17
    • 84908807046 scopus 로고
    • Examples of braided groups and braided matrices
    • [17] S. Majid, Examples of braided groups and braided matrices, J. Math. Phys. 32 (1991) 3246-3253.
    • (1991) J. Math. Phys. , vol.32 , pp. 3246-3253
    • Majid, S.1
  • 18
    • 0031116810 scopus 로고    scopus 로고
    • Quasi-* structure on q-Poincaré algebras
    • [18] S. Majid, Quasi-* structure on q-Poincaré algebras, J. Geom. Phys. 22 (1997) 14-58.
    • (1997) J. Geom. Phys. , vol.22 , pp. 14-58
    • Majid, S.1
  • 19
    • 0002601531 scopus 로고
    • Remarks on bicovariant differential calculi and exterior Hopf algebras
    • [19] T. Brzeziński, Remarks on bicovariant differential calculi and exterior Hopf algebras, Lett. Math. Phys. 27 (1993) 287.
    • (1993) Lett. Math. Phys. , vol.27 , pp. 287
    • Brzeziński, T.1
  • 21
    • 0030361197 scopus 로고    scopus 로고
    • Braided geometry of the conformal algebra
    • [21] S. Majid, Braided geometry of the conformal algebra, J. Math. Phys. 37 (1996) 6495-6509.
    • (1996) J. Math. Phys. , vol.37 , pp. 6495-6509
    • Majid, S.1
  • 22
    • 0010068113 scopus 로고    scopus 로고
    • in preparation
    • [22] S. Majid, in preparation.
    • Majid, S.1
  • 23
    • 0346405348 scopus 로고
    • Braided groups
    • [23] S. Majid, Braided groups, J. Pure App. Algebra 86 (1993) 187-221.
    • (1993) J. Pure App. Algebra , vol.86 , pp. 187-221
    • Majid, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.