SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Duke Mathematical Journal

Volumn 84, Issue 1, 1996, Pages 83-129

Noninvolutory Hopf algebras and 3-manifold invariants

(1) Kuperberg, Greg a

a UNIVERSITY OF CALIFORNIA (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002861335 PISSN: 00127094 EISSN: None Source Type: Journal
DOI: 10.1215/S0012-7094-96-08403-3 Document Type: Review

Times cited : (63)

References (17)

1
- 0040922176
- hep-th preprint #9311155
- J. W. BARRETT AND B. W. WESTBURY, Invariants of piecewise-linear 3-manifolds, hep-th preprint #9311155.
- Invariants of Piecewise-linear 3-manifolds
- Barrett, J.W.¹ Westbury, B.W.²

2
- 0040328154
- hep-th preprint #9310164
- _, Spherical categories, hep-th preprint #9310164.
- Spherical Categories

3
- 0001388868
- Structure of topological lattice field theories in 3 dimensions
- S. W. CHUNG, M. FUKUMA, AND A. SHAPERE, Structure of topological lattice field theories in 3 dimensions, Internat J. Modern Phys. A 9 (1994), 1305-1360.
- (1994) Internat J. Modern Phys. A , vol.9 , pp. 1305-1360
- Chung, S.W.¹ Fukuma, M.² Shapere, A.³

4
- 0000680015
- Topological gauge theories and group cohomology
- R. DIJKGRAAF AND E. WITTEN, Topological gauge theories and group cohomology, Comm. Math. Phys. 129 (1990), 393-429.
- (1990) Comm. Math. Phys. , vol.129 , pp. 393-429
- Dijkgraaf, R.¹ Witten, E.²

5
- 0000481618
- Quantum groups
- Berkeley, California, Amer. Math. Soc., Providence
- V. DRINFEL'D, "Quantum groups" in Proceedings of the International Congress of Mathematicians, 1 (Berkeley, California, 1986), Amer. Math. Soc., Providence, 1987, 798-820.
- (1986) Proceedings of the International Congress of Mathematicians , vol.1 , pp. 798-820
- Drinfel'd, V.¹

6
- 0004332399
- hep-th preprint #9406065
- L. H. KAUFFMAN AND D. E. RADFORD, Invariants of 3-manifolds derived from finite-dimensional Hopf algebras, hep-th preprint #9406065.
- Invariants of 3-manifolds Derived from Finite-dimensional Hopf Algebras
- Kauffman, L.H.¹ Radford, D.E.²

7
- 0039143915
- in preparation
- G. KUPERBERG, Invariants of links in 3-manifolds, in preparation.
- Invariants of Links in 3-manifolds
- Kuperberg, G.¹

8
- 0002309779
- Involutory Hopf algebras and 3-manifold invariants
- _, Involutory Hopf algebras and 3-manifold invariants, Internat. J. Math. 2 (1989), 41-61.
- (1989) Internat. J. Math. , vol.2 , pp. 41-61

9
- 45449125795
- Finite-dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
- R. G. LARSON AND D. E. RADFORD, 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

10
- 84968495738
- Canonical bases arising from quantized enveloping algebras
- G. LUSZTIG, Canonical bases arising from quantized enveloping algebras, J. Amer. Math. Soc. 3 (1990), 447-498.
- (1990) J. Amer. Math. Soc. , vol.3 , pp. 447-498
- Lusztig, G.¹

11
- 0001478075
- The order of antipode of a finite-dimensional Hopf algebra is finite
- D. E. RADFORD, The order of antipode of a finite-dimensional Hopf algebra is finite, Amer. J. Math. 98 (1976), 333-335.
- (1976) Amer. J. Math. , vol.98 , pp. 333-335
- Radford, D.E.¹

12
- 0000363809
- The trace function and Hopf algebras
- _, The trace function and Hopf algebras, J. Algebra 163 (1994), 583-622.
- (1994) J. Algebra , vol.163 , pp. 583-622

13
- 0039143916
- private communication
- N. YU. RESHETIKHIN, private communication.
- Reshetikhin, N.Yu.¹

14
- 34249960869
- Ribbon graphs and their invariants derived from quantum groups
- N. YU. RESHETIKHIN AND V. G. TURAEV, Ribbon graphs and their invariants derived from quantum groups, Comm. Math. Phys. 127 (1990), 1-26.
- (1990) Comm. Math. Phys. , vol.127 , pp. 1-26
- Reshetikhin, N.Yu.¹ Turaev, V.G.²

15
- 0542373499
- Invariants of 3-manifolds via link polynomials and quantum groups
- _, Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math., 103 (1991), 547-597.
- (1991) Invent. Math. , vol.103 , pp. 547-597

16
- 0003402324
- W. A. Benjamin, Inc., New York
- M. E. SWEEDLER, Hopf Algebras, W. A. Benjamin, Inc., New York, 1969.
- (1969) Hopf Algebras
- Sweedler, M.E.¹

17
- 0000316102
- Quantum invariants of 3-manifolds associated with classical simple lie algebras
- V. G. TURAEV AND H. WENZL, Quantum invariants of 3-manifolds associated with classical simple Lie algebras, Internat. J. Math. 4 (1993), 323-358
- (1993) Internat. J. Math. , vol.4 , pp. 323-358
- Turaev, V.G.¹ Wenzl, H.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.