The q-characters at roots of unity

Advances in Mathematics

Volumn 171, Issue 1, 2002, Pages 139-167

  Frenkel, Edward ^a   Mukhin, Evgeny ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037109523     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.2002.2084     Document Type: Article

References (18)

1. J. Beck, Braid group action and quantum affine algebras, Comm. Math. Phys. 165, No. 3 (1994), 555-568.
2. J. Beck, V. Chari, and A. Pressley, An algebraic characterization of the affine canonical basis, Duke Math. J. 99 (1999), 455-487.
3. J. Beck and V. Kac, Finite-dimensional representations of quantum affine algebras at roots of unity, J. Amer. Math. Soc. 9 (1996), 391-423.
4. V. Chari, Integrable representations of affine Lie algebras, Invent. Math. 85 (1986), 317 335.
5. V. Chari and A. Pressley, New unitary representations of loop groups, Math. Ann. 275 (1986), 87-104.
6. V. Chari and A. Pressley, "A Guide to Quantum Groups," Cambridge Univ. Press, Cambridge, UK, 1994.
7. V. Chari and A. Pressley, Quantum affine algebras and their representations, in "Representations of groups (Banff, AB, 1994)," pp. 59-78, "CMS Conference Proceedings," Vol. 16, Amer. Math. Sec., Providence, RL 1995.
8. V. Chari, and A. Pressley, Quantum affine algebras at roots of unity, Representation Theory 1 (1997), 280-328.
9. V. Chari and A. Pressley, Weyl modules for classical and quantum affine algebras, preprint math. QA/0004174.
10. V. G. Drinfeld, Hopf algebras and the quantum Yang-Baxter equation, Sov. Math. Dokl. 32 (1985), 254-258.
11. V. G. Drinfeld, A new realization of Yangians and of quantum affine algebras, Sov. Math. Dokl. 36 (1987), 212 216.
12. E. Frenkel and E. Mukhin, Combinatorics of q-characters of finite-dimensional representations of quantum affine algebras, Comm. Math. Phys. 216 (2001), 23-57.
13. E. Frenkel and N. Reshetikhin, The q-characters of representations of quantum affine algebras and deformations of ?-algebras, Contemp. Math. Amer. Math. Soc. 248 (1998), 163-205.
14. M. Jimbo, A q-difference analogue of U(g) and the Yang Baxter equation, Lett. Math. Phys. 10, No. 1 (1985), 63-69.
15. S. Khoroshkin and V. Tolstoy, Twisting of quantum (super)algebras. Connection of Drinfeld's and Cartan-Weyl realizations for quantum affine algebras, "Generalized Symmetries in Physics (Clausthal 1993)," pp. 42-54, World Scientific Publishing, River Edge, NJ, 1994.
16. G. Lusztig, "Introduction to Quantum Groups," Birkhauser, Basel, 1993.
17. G. Lusztig, Quantum groups at roots of 1, Geom. Dedicata 35 (1990), 89-113.
18. (1), Lett. Math. Phys. 27, No. 4 (1993), 253-264.