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Volumn 209, Issue 2, 1998, Pages 658-691

Lifting of Quantum Linear Spaces and Pointed Hopf Algebras of Order p3

Author keywords

Hopf algebras

Indexed keywords


EID: 0001644289     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1998.7643     Document Type: Article
Times cited : (234)

References (31)
  • 1
    • 0030531624 scopus 로고    scopus 로고
    • Notes on extensions of Hopf algebras
    • Andruskiewitsch N. Notes on extensions of Hopf algebras. Canad. J. Math. 48:1996;3-42.
    • (1996) Canad. J. Math. , vol.48 , pp. 3-42
    • Andruskiewitsch, N.1
  • 2
    • 0030531624 scopus 로고    scopus 로고
    • Simplicity of some pointed Hopf algebras, Appendix
    • Andruskiewitsch N., Schneider H.-J. Simplicity of some pointed Hopf algebras, Appendix. Canad. J. Math. 48:1996;3-42.
    • (1996) Canad. J. Math. , vol.48 , pp. 3-42
    • Andruskiewitsch, N.1    Schneider, H.-J.2
  • 5
    • 49349125897 scopus 로고
    • The diamond lemma for ring theory
    • Bergman G. The diamond lemma for ring theory. Adv. Math. 29:1978;178-218.
    • (1978) Adv. Math. , vol.29 , pp. 178-218
    • Bergman, G.1
  • 9
    • 0030074875 scopus 로고    scopus 로고
    • The coradical filtration for quantized universal enveloping algebras
    • Chin W., Musson I. The coradical filtration for quantized universal enveloping algebras. J. London Math. Soc. 53:1996;50-67.
    • (1996) J. London Math. Soc. , vol.53 , pp. 50-67
    • Chin, W.1    Musson, I.2
  • 10
    • 0038889341 scopus 로고    scopus 로고
    • On pointed Hopf algebras and Kaplansky's tenth conjecture
    • S. Gelaki, On pointed Hopf algebras and Kaplansky's tenth conjecture, J. Algebra.
    • J. Algebra
    • Gelaki, S.1
  • 11
    • 0004076589 scopus 로고
    • Chicago: University of Chicago
    • Kaplansky I. Bialgebras. 1975;University of Chicago, Chicago.
    • (1975) Bialgebras
    • Kaplansky, I.1
  • 12
    • 45449125795 scopus 로고
    • Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
    • Larson R. G., Radford D. E. Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple. J. Algebra. 117:1988;267-289.
    • (1988) J. Algebra , vol.117 , pp. 267-289
    • Larson, R.G.1    Radford, D.E.2
  • 13
    • 84968491405 scopus 로고
    • Finite dimensional Hopf algebras arising from quantized universal enveloping algebras
    • Lusztig G. Finite dimensional Hopf algebras arising from quantized universal enveloping algebras. J. Amer. Math. Soc. 3:1990;257-296.
    • (1990) J. Amer. Math. Soc. , vol.3 , pp. 257-296
    • Lusztig, G.1
  • 14
    • 34249957902 scopus 로고
    • Quantum groups at roots of 1
    • Lusztig G. Quantum groups at roots of 1. Geom. Dedicata. 35:1990;89-114.
    • (1990) Geom. Dedicata , vol.35 , pp. 89-114
    • Lusztig, G.1
  • 15
    • 0002359613 scopus 로고
    • Crossed products by braided groups and bosonization
    • Majid S. Crossed products by braided groups and bosonization. J. Algebra. 163:1994;165-190.
    • (1994) J. Algebra , vol.163 , pp. 165-190
    • Majid, S.1
  • 17
    • 0009266783 scopus 로고    scopus 로고
    • ntheorem for semisimple Hopf algebras
    • ntheorem for semisimple Hopf algebras. Proc. Amer. Math. Soc. 124:1996;735-737.
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 735-737
    • Masuoka, A.1
  • 19
    • 0040052399 scopus 로고
    • Bialgebras of type one
    • Nichols W. D. Bialgebras of type one. Commun. Alg. 6:1978;1521-1552.
    • (1978) Commun. Alg. , vol.6 , pp. 1521-1552
    • Nichols, W.D.1
  • 20
    • 0002760594 scopus 로고
    • A Hopf algebra freeness theorem
    • Nichols W. D., Zoeller M. B. A Hopf algebra freeness theorem. Amer. J. Math. 111:1989;381-385.
    • (1989) Amer. J. Math. , vol.111 , pp. 381-385
    • Nichols, W.D.1    Zoeller, M.B.2
  • 21
    • 0000548255 scopus 로고
    • Über Untergruppen endlicher algebraischer Gruppen
    • Oberst U., Schneider H. -J. Über Untergruppen endlicher algebraischer Gruppen. Manuscripta Math. 8:1973;217-241.
    • (1973) Manuscripta Math. , vol.8 , pp. 217-241
    • Oberst, U.1    Schneider H., -J.2
  • 22
    • 84966225607 scopus 로고
    • On the coradical of a finite dimensional Hopf algebra
    • Radford D. On the coradical of a finite dimensional Hopf algebra. Proc. Amer. Math. Soc. 53:1975;9-15.
    • (1975) Proc. Amer. Math. Soc. , vol.53 , pp. 9-15
    • Radford, D.1
  • 23
    • 0001478075 scopus 로고
    • The order of the antipode of a finite dimensional Hopf algebra is finite
    • Radford D. The order of the antipode of a finite dimensional Hopf algebra is finite. Amer. J. Math. 98:1976;333-355.
    • (1976) Amer. J. Math. , vol.98 , pp. 333-355
    • Radford, D.1
  • 24
    • 46549103268 scopus 로고
    • Hopf algebras with projection
    • Radford D. Hopf algebras with projection. J. Algebra. 92:1985;322-347.
    • (1985) J. Algebra , vol.92 , pp. 322-347
    • Radford, D.1
  • 26
    • 0031571049 scopus 로고    scopus 로고
    • The set of types ofn
    • Stefan D. The set of types ofn. J. Algebra. 193:1997;571-580.
    • (1997) J. Algebra , vol.193 , pp. 571-580
    • Stefan, D.1
  • 29
    • 0002622941 scopus 로고
    • On antipodes in pointed Hopf algebras
    • Taft E., Wilson R. L. On antipodes in pointed Hopf algebras. J. Algebra. 29:1974;27-32.
    • (1974) J. Algebra , vol.29 , pp. 27-32
    • Taft, E.1    Wilson, R.L.2
  • 31
    • 84962984948 scopus 로고
    • Hopf algebras of prime dimension
    • Zhu Y. Hopf algebras of prime dimension. Int. Math. Res. Notes. 1:1994;53-59.
    • (1994) Int. Math. Res. Notes , vol.1 , pp. 53-59
    • Zhu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.