Bicross-product structure of affine quantum groups

Letters in Mathematical Physics

Volumn 39, Issue 3, 1997, Pages 243-252

  Majid, S ^a,b,c,d  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b Research Institute of Mathematical Sciences   (Japan)

^c PEMBROKE COLLEGE   (United Kingdom)

^d HARVARD UNIVERSITY   (United States)

Author keywords

Affine quantum group; Central extension; Loop group; Quantum cocycle; R matrix

Indexed keywords

EID: 0010050036     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007318108923     Document Type: Article

References (14)

1. Jimbo, M. and Miwa, T.: Algebraic Analysis of Solvable Lattice Models, Amer. Math. Soc., Providence, 1995.
2. Frenkel, I. B. and Reshetikhin, N. Yu.: Quantum affine algebras and holonomic difference equations, Comm. Math. Phys. 146 (1992), 1-60.
3. Pressley, A. and Segal, G.: Loop Groups, OUP, Oxford.
4. Majid, S.: More examples of bicross-product and double cross product Hopf algebras, Israel J. Math. 72 (1990), 133-148.
5. Majid, S. and Soibelman, Ya. S.: Bicross-product structure of the quantum Weyl group, J. Algebra 163 (1994), 68-87.
6. Reshetikhin, N. Yu. and Semenov-Tian-Shansky, M. A.: Central extensions of quantum current groups, Lett. Math. Phys. 19 (1990), 133-142.
7. Swcedler, M. E.: Hopf Algebras, Benjamin, New York, 1969.
8. Majid, S.: Foundations of Quantum Group Theory, Cambridge Univeristy Press, 1995.
9. Doi, Y: Equivalent crossed products for a Hopf algebra, Comm. Algebra 17 (1989), 3053-3085.
10. Blattner, R. J. and Montgomery, S.: Crossed-products and Galois extensions of Hopf algebras, Pacific J. Math. 137 (1989), 37-54.
11. Brzeziński, T. and Majid, S.: Quantum group gauge theory on quantum spaces, Comm. Math. Phys. 157 (1993), 591-638. Erratum 167 (1995), 235.
12. Majid, S.: Non-commutative-geometric groups by a bicross-product construction, PhD thesis, Harvard Mathematical Physics, 1988.
13. Drinfeld, V. G.: Quantum groups, in: A. Gleason (ed.), Proc. ICM, Amer. Math. Soc., Providence, 1987, pp. 798-820.
14. Faddcev, L. D., Reshetikhin, N. Yu. and Takhtajan, L. A.: Quantization of Lie groups and Lie algebras, Leningrad Math. J. 1 (1990), 193-225.