메뉴 건너뛰기




Volumn 358, Issue 1765, 2000, Pages 89-109

Non-commutative geometry and quantum groups

Author keywords

Cosmology; Curvature; Fourier; Heisenberg; Hopf; Knots

Indexed keywords


EID: 0346111908     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2000.0521     Document Type: Article
Times cited : (4)

References (19)
  • 3
    • 25444450141 scopus 로고
    • Quantum group gauge theory on quantum spaces
    • Erratum 1995 167, 235
    • Brzeziński, T. & Majid, S. 1993 Quantum group gauge theory on quantum spaces. Commun. Math. Phys. 157, 591-638. (Erratum 1995 167, 235.)
    • (1993) Commun. Math. Phys. , vol.157 , pp. 591-638
    • Brzeziński, T.1    Majid, S.2
  • 5
    • 0002785466 scopus 로고
    • Hamiltonian structures on Lie groups, Lie bialgebras and the geometric meaning of the classical Yang-Baxter equations
    • Drinfeld, V. G. 1983 Hamiltonian structures on Lie groups, Lie bialgebras and the geometric meaning of the classical Yang-Baxter equations. Sov. Math. Dokl. 27, 68.
    • (1983) Sov. Math. Dokl. , vol.27 , pp. 68
    • Drinfeld, V.G.1
  • 6
    • 0000481618 scopus 로고
    • Quantum groups
    • ed. A. Gleason. Providence, RI: AMS
    • Drinfeld, V. G. 1987 Quantum groups. In Proc. ICM (ed. A. Gleason), pp. 798-820. Providence, RI: AMS.
    • (1987) Proc. ICM , pp. 798-820
    • Drinfeld, V.G.1
  • 8
    • 84974497034 scopus 로고
    • On q-functions and a certain difference operator
    • Jackson, F. H. 1908 On q-functions and a certain difference operator. Trans. R. Soc. Edinb. 46, 253-281.
    • (1908) Trans. R. Soc. Edinb. , vol.46 , pp. 253-281
    • Jackson, F.H.1
  • 9
    • 0040323775 scopus 로고
    • A q-difference analog of U(g) and the Yang-Baxter equation
    • Jimbo, M. 1985 A q-difference analog of U(g) and the Yang-Baxter equation. Lett. Math. Phys. 10, 63-69.
    • (1985) Lett. Math. Phys. , vol.10 , pp. 63-69
    • Jimbo, M.1
  • 10
    • 84968518084 scopus 로고
    • Polynomial invariants of knots via von Neumann algebras
    • Jones, V. F. R. 1985 Polynomial invariants of knots via von Neumann algebras. Bull. Am. Math. Soc. 12, 103-111.
    • (1985) Bull. Am. Math. Soc. , vol.12 , pp. 103-111
    • Jones, V.F.R.1
  • 12
    • 36149030193 scopus 로고
    • Hopf algebras for physics at the Planck scale
    • Majid, S. 1988 Hopf algebras for physics at the Planck scale. J. Classical Quant. Grav. 5, 1587-1606.
    • (1988) J. Classical Quant. Grav. , vol.5 , pp. 1587-1606
    • Majid, S.1
  • 13
    • 0001056033 scopus 로고
    • Braided groups and algebraic quantum field theories
    • Majid, S. 1991a Braided groups and algebraic quantum field theories. Lett. Math. Phys. 22, 167-176.
    • (1991) Lett. Math. Phys. , vol.22 , pp. 167-176
    • Majid, S.1
  • 14
    • 0040602617 scopus 로고
    • Principle of representation-theoretic self-duality
    • Majid, S. 1991b Principle of representation-theoretic self-duality. Phys. Essays 4, 395-405.
    • (1991) Phys. Essays , vol.4 , pp. 395-405
    • Majid, S.1
  • 17
    • 0033130143 scopus 로고    scopus 로고
    • Quantum and braided group Riemannian geometry
    • Majid, S. 1999b Quantum and braided group Riemannian geometry. J. Geom. Phys. 30, 113-146.
    • (1999) J. Geom. Phys. , vol.30 , pp. 113-146
    • Majid, S.1
  • 18
    • 34249960869 scopus 로고
    • Ribbon graphs and their invariants derived from quantum groups
    • Reshetikhin, N. Yu. & Turaev, V. G. 1990 Ribbon graphs and their invariants derived from quantum groups. Commun. Math. Phys. 127, 1-26.
    • (1990) Commun. Math. Phys. , vol.127 , pp. 1-26
    • Reshetikhin, N.Yu.1    Turaev, V.G.2
  • 19
    • 1542483491 scopus 로고
    • Compact matrix pseudogroups
    • Woronowicz, S. L. 1987 Compact matrix pseudogroups. Commun. Math. Phys. 111, 613-665.
    • (1987) Commun. Math. Phys. , vol.111 , pp. 613-665
    • Woronowicz, S.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.