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Volumn 111, Issue , 1999, Pages 157-190

Quantum homogeneous spaces with faithfully flat module structures

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EID: 17544399774     PISSN: 00212172     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02810683     Document Type: Article
Times cited : (58)

References (26)
  • 1
    • 0030528306 scopus 로고    scopus 로고
    • Quantum homogeneous spaces as quantum quotient spaces
    • T. Brzeziński, Quantum homogeneous spaces as quantum quotient spaces, Journal of Mathematical Physics 37 (1996), 2388-2399.
    • (1996) Journal of Mathematical Physics , vol.37 , pp. 2388-2399
    • Brzeziński, T.1
  • 4
    • 0001334959 scopus 로고
    • Representations of quantum groups at roots of 1
    • Operator Algebras, Unitary Representations, Enveloping Algebras and Invariant Theory (A. Connes, M. Duflo, A. Joseph and R. Rentschler, eds.), Birkhäuser, Boston
    • C. De Concini and V. G. Kac, Representations of quantum groups at roots of 1, in Operator Algebras, Unitary Representations, Enveloping Algebras and Invariant Theory (A. Connes, M. Duflo, A. Joseph and R. Rentschler, eds.), Progress in Mathematics 92, Birkhäuser, Boston, 1990, pp. 471-506.
    • (1990) Progress in Mathematics , vol.92 , pp. 471-506
    • De Concini, C.1    Kac, V.G.2
  • 6
    • 0010568617 scopus 로고    scopus 로고
    • Some remarks on the construction of quantum symmetric spaces
    • M. Dijkhuizen, Some remarks on the construction of quantum symmetric spaces, Acta Applicandae Mathematicae 44 (1996), 59-80.
    • (1996) Acta Applicandae Mathematicae , vol.44 , pp. 59-80
    • Dijkhuizen, M.1
  • 7
    • 85105698278 scopus 로고    scopus 로고
    • A family of quantum projective spaces and related q-hypergeometric orthogonal polynomials
    • to appear
    • M. Dijkhuizen and M. Noumi, A family of quantum projective spaces and related q-hypergeometric orthogonal polynomials, Transactions of the American Mathematical Society, to appear.
    • Transactions of the American Mathematical Society
    • Dijkhuizen, M.1    Noumi, M.2
  • 10
    • 21144471125 scopus 로고
    • Coideal subalgebras in Hopf algebras: Freeness, integrals, smash products
    • M. Koppinen, Coideal subalgebras in Hopf algebras: freeness, integrals, smash products, Communications in Algebra 21 (1993), 427-444.
    • (1993) Communications in Algebra , vol.21 , pp. 427-444
    • Koppinen, M.1
  • 11
    • 0002869419 scopus 로고
    • Quantum homogeneous spaces, quantum duality and quantum 2-spheres
    • T. K. Koornwinder and M. Dijkhuizen, Quantum homogeneous spaces, quantum duality and quantum 2-spheres, Geometriae Dedicata 52 (1994), 291-315.
    • (1994) Geometriae Dedicata , vol.52 , pp. 291-315
    • Koornwinder, T.K.1    Dijkhuizen, M.2
  • 13
    • 0041009450 scopus 로고
    • Quantum G-spaces and Heisenberg algebra
    • Quantum Groups, Proceedings of Workshops held in the Euter International Mathematical Institute 1990 (P. P. Kulish, ed.), Springer, Berlin
    • L. I. Korogodsky and L. L. Vaksman, Quantum G-spaces and Heisenberg algebra, in Quantum Groups, Proceedings of Workshops held in the Euter International Mathematical Institute 1990 (P. P. Kulish, ed.), Lecture Notes in Mathematics 1510, Springer, Berlin, 1992, pp. 56-66.
    • (1992) Lecture Notes in Mathematics , vol.1510 , pp. 56-66
    • Korogodsky, L.I.1    Vaksman, L.L.2
  • 14
    • 0031352797 scopus 로고    scopus 로고
    • Subalgebras which appear in quantum Iwasawa decompositions
    • G. Letzter, Subalgebras which appear in quantum Iwasawa decompositions, Canadian Journal of Mathematics 49 (1997), 1206-1223.
    • (1997) Canadian Journal of Mathematics , vol.49 , pp. 1206-1223
    • Letzter, G.1
  • 15
    • 0038866353 scopus 로고
    • Quotient theory of Hopf algebras
    • (J. Bergen and S. Montgomery, eds.), Dekker, New York
    • A. Masuoka, Quotient theory of Hopf algebras, in Advances in Hopf Algebras (J. Bergen and S. Montgomery, eds.), Dekker, New York, 1994.
    • (1994) Advances in Hopf Algebras
    • Masuoka, A.1
  • 16
    • 0000300142 scopus 로고
    • On Hopf algebras with cocommutative coradicals
    • A. Masuoka, On Hopf algebras with cocommutative coradicals, Journal of Algebra 144 (1991), 451-466.
    • (1991) Journal of Algebra , vol.144 , pp. 451-466
    • Masuoka, A.1
  • 17
    • 0040415301 scopus 로고
    • Faithful flatness of Hopf algebras
    • A. Masuoka and D. Wigner, Faithful flatness of Hopf algebras, Journal of Algebra 170 (1994), 156-164.
    • (1994) Journal of Algebra , vol.170 , pp. 156-164
    • Masuoka, A.1    Wigner, D.2
  • 18
    • 0003229461 scopus 로고
    • Hopf algebras and their actions on rings
    • American Mathematical Society, Providence, R.I.
    • S. Montgomery, Hopf algebras and their actions on rings, CBMS Regional Conference Series in Mathematics 82, American Mathematical Society, Providence, R.I., 1993.
    • (1993) CBMS Regional Conference Series in Mathematics , vol.82
    • Montgomery, S.1
  • 20
    • 0011639489 scopus 로고
    • q(2)
    • Quantum Groups, Proceedings of Workshops held in the Euler International Mathematical Institute 1990 (P. P. Kulish, ed.), Springer, Berlin
    • q(2), in Quantum Groups, Proceedings of Workshops held in the Euler International Mathematical Institute 1990 (P. P. Kulish, ed.), Lecture Notes in Mathematics 1510, Springer, Berlin, 1992, pp. 98-103.
    • (1992) Lecture Notes in Mathematics , vol.1510 , pp. 98-103
    • Noumi, M.1    Mimachi, K.2
  • 22
    • 0004233095 scopus 로고
    • Academic Press, Boston
    • L. Rowen, Ring Theory, Vol. I, Academic Press, Boston, 1988.
    • (1988) Ring Theory , vol.1
    • Rowen, L.1
  • 23
    • 51249176014 scopus 로고
    • Principal homogeneous spaces for arbitrary Hopf algebras
    • H.-J. Schneider, Principal homogeneous spaces for arbitrary Hopf algebras, Israel Journal of Mathematics 72 (1990), 167-195.
    • (1990) Israel Journal of Mathematics , vol.72 , pp. 167-195
    • Schneider, H.-J.1
  • 25
    • 0000249154 scopus 로고
    • Relative Hopf modules - Equivalences and freeness criteria
    • M. Takeuchi, Relative Hopf modules - equivalences and freeness criteria, Journal of Algebra 60 (1979), 452-471.
    • (1979) Journal of Algebra , vol.60 , pp. 452-471
    • Takeuchi, M.1


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