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Volumn 352, Issue 8, 2000, Pages 3821-3836

Hopf algebras of types Vq(sln)′ and Oq(SLn)′ which give rise to certain invariants of knots, links and 3-manifolds

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EID: 23044519023     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-00-02283-2     Document Type: Article
Times cited : (10)

References (15)
  • 1
    • 0000805003 scopus 로고
    • On almost cocommutative Hopf algebras
    • [D1] MR 91b:16046
    • [D1] V. G. Drinfeld, On almost cocommutative Hopf algebras, Leningrad Math. J. l (1990), 321-342. MR 91b:16046
    • (1990) Leningrad Math. J. , vol.50 , pp. 321-342
    • Drinfeld, V.G.1
  • 3
    • 0032008398 scopus 로고    scopus 로고
    • On the quasitriangularity of Uq(s\n)'
    • [GW] MR 99e:16051
    • [GW] S. Gelaki and S. Westreich, On the quasitriangularity of Uq(s\n)', J. London Math. Soc. (2) 57 (1998), 105-125. MR 99e:16051
    • (1998) J. London Math. Soc. (2) , vol.57 , pp. 105-125
    • Gelaki, S.1    Westreich, S.2
  • 4
    • 0001274392 scopus 로고    scopus 로고
    • Invariants of links and 3-manifolds obtained from Hopf algebras
    • [H] MR 98g:57011
    • [H] M. A. Hennings, Invariants of links and 3-manifolds obtained from Hopf algebras, J. London Math. Soc. (2) 54 (1996), 593-624. MR 98g:57011
    • (1996) J. London Math. Soc. (2) , vol.54 , pp. 593-624
    • Hennings, M.A.1
  • 6
    • 0001093736 scopus 로고
    • Gauss codes, quantum groups and ribbon Hopf algebras
    • [K] MR 94k:57013
    • [K] L. H. Kauffman, Gauss codes, quantum groups and ribbon Hopf algebras, Rev. Math. Phys. 5 (1993), 735-773. MR 94k:57013
    • (1993) , Rev. Math. Phys. , vol.5 , pp. 735-773
    • Kauffman, L.H.1
  • 7
    • 38249000425 scopus 로고
    • A necessary and sufficient condition for a finitedimensional Drinfeld double to be a ribbon Hopf algebra
    • [KR1] MR 94d:16037
    • [KR1] L. H. Kauffman and D. E. Radford, A necessary and sufficient condition for a finitedimensional Drinfeld double to be a ribbon Hopf algebra, J. of Algebra 159 (1993), 98-114. MR 94d:16037
    • (1993) J. of Algebra , vol.159 , pp. 98-114
    • Kauffman, L.H.1    Radford, D.E.2
  • 8
    • 0000909641 scopus 로고
    • Invariants of 3-manifolds derived from finite dimensional Hopf algebras
    • [KR2] MR 96d:57018
    • [KR2] L. H. Kauffman and D. E. Radford, Invariants of 3-manifolds derived from finite dimensional Hopf algebras, J. Knot Theory Ramifications 4 (1995), 131-162. MR 96d:57018
    • (1995) J. Knot Theory Ramifications , vol.4 , pp. 131-162
    • Kauffman, L.H.1    Radford, D.E.2
  • 9
    • 84968491405 scopus 로고
    • Finite dimensional Hopf algebras arising from quantized universal enveloping algebras
    • [L] MR 91e:17009
    • [L] G. Lusztig, Finite dimensional Hopf algebras arising from quantized universal enveloping algebras, J. Amer. Math. Soc. 3 (1990), 257-296. MR 91e:17009
    • (1990) J. Amer. Math. Soc. , vol.3 , pp. 257-296
    • Lusztig, G.1
  • 10
    • 0002760594 scopus 로고
    • A Hopf algebra freencss theorem
    • [NZ] MR 90c:16008
    • [NZ] W. D. Nichols and M. B. Zoeller, A Hopf algebra freencss theorem, Amer. J. of Math. Ill (1989), 381-385. MR 90c:16008
    • (1989) Amer. J. of Math. Ill , pp. 381-385
    • Nichols, W.D.1    Zoeller, M.B.2
  • 11
    • 0000245084 scopus 로고
    • On Kauffman's knot invariants arising from finite-dimensional Hopf algebras, Advances in Hopf algebras (Chicago, 1992)
    • [Rl] Marcel Dekker, New York, MR 96g:57013
    • [Rl] D. E. Radford, On Kauffman's knot invariants arising from finite-dimensional Hopf algebras, Advances in Hopf algebras (Chicago, 1992), Lecture Notes Pure Appl. Math., vol. 158, Marcel Dekker, New York, 1994, pp. 205-266. MR 96g:57013
    • (1994) Lecture Notes Pure Appl. Math. , vol.158 , pp. 205-266
    • Radford, D.E.1
  • 12
    • 43949166060 scopus 로고
    • Minimal quasitriangular Hopf algebras
    • [R2] MR 94c:16052
    • [R2] D. E. Radford, Minimal quasitriangular Hopf algebras, J. of Algebra 157 (1993), 281-315. MR 94c:16052
    • (1993) J. of Algebra , vol.157 , pp. 281-315
    • Radford, D.E.1
  • 13
    • 0542373499 scopus 로고
    • Invariants of 3-manifolds via link polynomials and quantum groups
    • [RT] MR 92b:57024
    • [RT] N. Yu. Reshctikhin and V. G. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991), 547-597. MR 92b:57024
    • (1991) Invent. Math. , vol.103 , pp. 547-597
    • Yu Reshctikhin, N.1    Turaev, V.G.2
  • 14
    • 0000582967 scopus 로고
    • Some Topics on GLq(n)
    • [T] MR 93b:17055
    • [T] M. Takeuchi, Some Topics on GLq(n), J. of Algebra 147(1992), 379-410. MR 93b:17055
    • (1992) J. of Algebra , vol.147 , pp. 379-410
    • Takeuchi, M.1
  • 15
    • 85008556148 scopus 로고
    • A Poincaré-Birkhoff-Witt theorem for quantized universal enveloping algebras of type
    • [Y] MR 91a:17016
    • N, Publ. Res. Inst. Math. Sei. 25 (1989), 503-520. MR 91a:17016
    • (1989) N, Publ. Res. Inst. Math. Sei. , vol.25 , pp. 503-520
    • Yamane, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.