Vyjayanthi Chari Publications
Technical Publications
Journal Articles
1. Chari, V., Ilangovan, S. 1984. "On the Harishchandra Homomorphism for Infinite-Dimensional Lie Algebras". J. Algebra. p.476-490. (Refereed)
2. Chari, V. 1985. "Annihilators of Verma modules for Kac-Moody Lie algebras". Invent. Math. p.47-58. (Refereed)
3. Chari, V. 1986. "Integrable representations of affine Lie-algebras". Invent. Math. p.317-335. (Refereed)
4. Chari, V., Pressley, A. 1986. "New Unitary Representations of Loop Groups". 1986. p.87-104. (Refereed)
5. Chari, V., Pressley, A. 1987. "A New Family of Irreducible, Integrable Modules for Affine Lie Algebras". Math. Ann. p.543-562. (Refereed)
6. Chari, V., Pressley, A. 1987. "Unitary representations of the maps S1 -- su(N,1)". Math. Proc. Camb. Phil. Soc. p.259-272. (Refereed)
7. Chari, V., Pressley, A. 1988. "Integrable Representations of Twisted Affine Lie Algebras". Journal of Algebra. p.438-464. (Refereed)
8. Chari, V., Pressley, A. 1988. "Unitary representations of the Virasoro algebra and a conjecture of Kac". Compositio Math. p.315-342. (Refereed)
9. Chari, V., Pressley, A. 1990. "An Application of Lie Superalgebras to Affine Lie Algebras". J. of Algebra. p.203-216. (Refereed)
10. Chari, V., Pressley, A. 1990. "Yangians and R-matrices". L'Enseignment Mathematique. p.267-302. (Refereed)
11. Chari, V., Pressley, A. 1991. "Fundamental representations of Yangians and singularities of R-matrices". Jour. Reine und. Angewandte. Math. p.87-128. (Refereed)
12. Chari, V., Pressley, A. 1991. "Quantum Affine Algebras". Commun. Math. Phys. p.261-283. (Refereed)
13. Chari, V., Pressley, A. 1991. "Minimal cyclic representations of quantum groups at roots of unity". C.R. Acad. Sci. Paris. p.429-434. (Refereed)
14. Chari, V., Pressley, A. 1992. "Fundamental Representations of Quantum Groups at Roots of 1". Letters in Math. Phys. p.133-146. (Refereed)
15. Chari, V., Pressley, A. 1993. "Representations of modular Lie algebras through quantum groups". C.R. Acad. Sci. p.723-728. (Refereed)
16. Chari, V., Premet, A. 1994. "Indecomposable Restricted Representations of Quantum sl2". Publ. Res. Inst. Math. Sci., Kyoto Univ. p.335-352. (Refereed)
17. Chari, V., Pressley, A. 1994. "Small Representations of Quantum Affine Algebras". Lett. Math. Phys. p.131-145. (Refereed)
18. Chari, V., Pressley, A. 1994. "Representations of Quantum so(8) and Related Quantum Algebras". Commun. Math. Phys. p.29-49. (Refereed)
19. Chari, V., Pressley, A. 1995. "Minimal Affinizations of Representations of Quantum Groups: The Nonsimply-Laced Case". Lett. Math. Phys. p.99-114. (Refereed)
20. Chari, V. 1995. "Minimal Affinizations of Representations of Quantum Groups: the Rank 2 Case". Publ. Res. Inst. Math. Sci., Kyoto Univ. p.873-911. (Refereed)
21. Chari, V., Pressley, A. 1996. "Quantum Affine Algebras and Affine Hecke Algebras". Pacific Journal of Mathematics. p.295-326. (Refereed)
22. Chari, V., Pressley, A. 1996. "Minimal Affinizations of Representations of Quantum Groups: the Irregular Case". Letters in Math. Phys. p.247-266. (Refereed)
23. Chari, V., Pressley, A. 1996. "Minimal Affinizations of Representations of Quantum Groups: The Simply Laced Case". Journal of Algebra. p.1-30. (Refereed)
24. Chari, V., Pressley, A. 1996. "Yangians, Integrable Quantum Systems and Dorey's Rule". Commun. Math. Phys. p.265-302. (Refereed)
25. Chari, V., Pressley, A. 1996. "Yangians: Their Representations and Characters". Acta Applicandae Mathematicae. p.39-58. (Refereed)
26. Chari, V., Pressley, A. 1997. "Quantum Affine Algebras at Roots of Unity". Representation Theory. p.280-328. (Refereed)
27. Chari, V., Pressley, A. 1998. "Twisted Quantum Affine Algebras". Commun. Math. Physics>. p.461-476. (Refereed)
28. Beck, J., Chari, V., Pressley, A. 1999. "An Algebraic Characterization of The Affine Canonical Basis". Duke Mathematical Journal. p.455-487. (Refereed)
29. Chari, V., Jing, N. 2001. "Realization of Level One Representations of Uq(g) at a Root of Unity". Duke Mathematical Journal. p.183-197. (Refereed)
30. Chari, V., Pressley, A. 2001. "Weyl Modules for Classical and Quantum Affine Algebras". Representation Theory. p.191-223. (Refereed)
31. Chari, V. 2001. "On the Fermionic Formula and the Kirillov-Reshetikhin Conjecture". Int. Math. Res. Notices. p.629-654. (Refereed)
32. Chari, V. 2002. "Braid Group Actions and Tensor Products". Int. Math. Res. Notices. p.357-382. (Refereed)
33. Chari, V., Greenstein, J. 2003. "Quantum Loop Modules". Representation Theory. p.56-80. (Refereed)
34. Chari, V., Moura, A. 2004. "Spectral characters of finite-dimensional representations of affine algebras". Journal of Algebra. p.820-839. (Refereed)
35. Chari, V., Jakelic, D., Moura, A. 2004. "Branched Crystals and Category O". J. Algebra. p.51-72. (Refereed)
36. Chari, V., Greenstein, J. 2005. "Filtrations and completions of certain positive level modules of affine algebras". Advances in Mathematics. p.296-331. (Refereed)
37. Chari, V., Moura, A. 2005. "Characters and Blocks for Finite-Dimensional Representations of Quantum Affine Algebras". International Mathematics Research Notices. p.257-298. (Refereed)
38. Chari, V., Loktev, S. 2006. "Weyl, Demazure and fusion modules for the current algebra of slr+1". Advances in Mathematics. p.928-960. (Refereed)
39. Chari, V., Moura, A. 2006. "The Restricted Kirillov--Reshetikhin Modules for the Current and Twisted Current Algebras". Comm. Math. Phys. p.431-454. (Refereed)
40. Chari, V., Moura, A. 2006. "Characters of Fundamental Representations of Quantum Affine Algebras". Acta. Appl. Math. p.43-63. (Refereed)
41. Chari, V., Greenstein, J. 2007. "Current Algebras, Highest Weight Categories and Quivers". Advances in Mathematics. p.811-840. (Refereed)
(In Press)
1. Chari, V., Greenstein, J. "Graded Level Zero Integrable Representations of Affine Lie Algebras". Transactions of the American Mathematical Society. (Accepted 03/08/2006. 19 manuscript pages.) (Refereed)
2. Chari, V., Fourier, G., Senesi, P. "Weyl modules for the twisted loop Algebras. Journal of Algebra. (Accepted 06/03/2007. 19 manuscript pages.) (Refereed)
Books
1. Pressley, A., Chari, V. 1994. "A Guide to Quantum Groups". The Press Syndicate of the University of Cambridge. 550p. ISBN: . (Refereed)
Conference and Symposia Proceedings
(In Press)
1. Chari, V., Pressley, A. .(Accepted 06/08/1986.) "Towards a classificationof Integrable representations of affine Lie algebras". 12. (Refereed, )
2. Chari, V., Pressley, A. .(Accepted 07/06/1987.) "Unitary representations of some infinite-dimensional Lie algebras". 40. (Refereed, )
3. Chari, V., Pressley, A. .(Accepted 01/01/1990.) "Notes on quantum groups". 22. (Refereed, )
4. Chari, V., Pressley, A. .(Accepted 01/01/1991.) "introduction to Quantum groups". 42. (Refereed, )
5. Chari, V., Pressley, A. .(Accepted 06/15/1995.) "Quantum affine algebras and their representations". 20. (Refereed, )
6. Chari, V., Pressley, A. .(Accepted 07/22/1996.) "Quantum affine algebras and integrable quantum systems'. 19. (Refereed, )
7. Chari, V., Pressley, A. .(Accepted 01/01/1997.) "Factorization of representations of quantum affine algebras". 8. (Refereed, )
8. Chari, V., Xi, N. .(Accepted 05/21/1999.) "Monomial bases of quantized enveloping algebras". 13. (Refereed, )
9. Chari, V., Kleber, M. .(Accepted 05/23/2000.) "Symmetric functions and representations of quantum affine algebras. 19. (Refereed, )
10. Chari, V., Pressley, A. .(Accepted 06/01/2001.) "Integrable and Weyl modules for quantum affine s1_2 . 8. (Refereed, )
11. Chari, V., Le, T. .(Accepted 03/01/2002.) "Representations of double affine lie algebras. 15. (Refereed, )
12. Chari, V., Greenstein, J. .(Accepted 03/15/2005.) "An application of free lie algebras to polynomial current algebras & their representations theory. 17. (Refereed, )
13. Chari, V., Moura, A. .(Accepted 03/31/2006.) "Kirillov-Reshetikhin modules associated to G_2". 19. (Refereed, )