Standard γ-lattices from quantum groups

Inventiones Mathematicae

Volumn 134, Issue 3, 1998, Pages 455-487

  Xu, Feng ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038856708     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050271     Document Type: Article

References (22)

1. S. Popa: An axiomatization of the lattice of higher relative commutants of a subfactor, Invent. Math., 102, 427-445 (1995)
2. S. Popa: Markov traces on universal Jones algebras and subfactors of finite index, Invent. Math. 111, 375-405 (1993)
3. H. Wenzl: Hecke algebras of type An and subfactors, Invent. Math. 92, 349-383, (1988)
4. H. Wenzl: Quantum Groups and Subfactors of type B, C and D, Comm. Math. Phys. 133 383-432 (1990)
5. [Tu] V.G. Turaev: Quantum invariants of knots and 3-manifolds, Walter de Gruyter, Berlin New York 1994
6. [A] H.H. Andersen: Tensor products of Quantized Tilting Modules, Comm. Math. Phys. 149 149-159 (1992)
7. [AP] H.H. Andersen, J. Paradowski: Fusion categories arising from semisimple Lie algebras, Comm. Math. Phys. 169 563-588 (1995)
8. [Pa] J. Paradowski: Filtrations of modules over the quantum algebra, Proceedings of Symposia in Pure Mathematics, vol. 56, Part 2, 93-109 (1991)
9. G. Lusztig: Introduction to Quantum Groups, Progress in Mathematics, Vol. 110, (1993)
10. G. Lusztig: Canonical basis arising from quantized enveloping algebras, II, Common trends in mathematics and quantum field theories, Progr. Theor. Phys. Suppl., vol. 102, 1990, 175-201 Mathematics, vol. 110, (1993)
11. G. Lusztig: Canonical basis arising from quantized enveloping algebras, II, Common trends in mathematics and quantum field theories, Progr. Theor. Phys. Suppl., vol. 102, 1990, 175-201 Mathematics, vol. 110, (1993)
12. [Ki] A. Kirillov, Jr.: Inner product in Modular tensor categories, I. To appear In Journal of AMS
13. [CP] V. Chari, A. Pressley: A guide to Quantum groups, Cambridge University Press, (1994)
14. q(g), Lett. Math. Phys. 24, 49-58 (1992)
15. [Ka] M. Kashiwara: On crystal bases of the q-analogue of universal enveloping algebra, Duke. Math. J. 63, 465-516 (1991)
16. [Sa] S. Sawin: Subfactors from Quantum groups, Ph.D. thesis, Berkeley, (1991)
17. F. Xu: A new series of subfactors, Ph.D. Thesis, Berkeley, (1995)
18. [FZ] P. Di-Francesco, J.-B. Zuber: SU(N) lattice Integrable Models and Modular Invariance, in Recent Developments in Conformal Field Theories, World Scientific Publishing Co., P. 179-216 (1990)
19. [S] S. Levendorskii, I. Soibelman: Some applications of quantum Weyl groups, J. Geom. and Phys. 7, 241-254 (1990)
20. [Ze] D.P. Zelobenko: Compact Lie Groups and their Representations, AMS, 1973
21. [GK] S. Gelfand, D. Kazhdan: Examples of tensor categories, Invent. Math. 109, 595-617 (1992)
22. [va] V. Varadarajan: Introduction to Compact Lie groups