The q-characters of representations of quantum affine algebras and deformations of W-algebras
作者： Edward Frenkel , Nicolai Reshetikhin
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摘要: We propose the notion of q-characters for finite-dimensional representations quantum affine algebras. It is motivated by our theory deformed W-algebras. show that give rise to a homomorphism from Grothendieck ring algebra polynomial ring. conjecture image this equal intersection certain "screening operators". also discuss connection between and Bethe Ansatz.
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Igor Frenkel, Pavel Etingof, Alexander Kirillov, Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations ,(1998)
Edward Frenkel, Nicolai Reshetikhin, Deformations of W-algebras associated to simple Lie algebras Communications in Mathematical Physics. ,vol. 197, pp. 1- 32 ,(1997)
Edward Frenkel, Nikolai Reshetikhin, Towards Deformed Chiral Algebras arXiv: Quantum Algebra. ,(1997)
Vyjayanthi Chari, A guide to quantum groups ,(1994)
Andrew Pressley, Vyjayanthi Chari, Quantum affine algebras and their representations arXiv: High Energy Physics - Theory. ,(1994)
Peter Bouwknegt, Krzysztof Pilch, On deformed $\mathcal{W}$-algebras and quantum affine algebras Advances in Theoretical and Mathematical Physics. ,vol. 2, pp. 357- 397 ,(1998) , 10.4310/ATMP.1998.V2.N2.A6
I DAMIANI, La R-matrice pour les algèbres quantiques de type affine non tordu Annales Scientifiques De L Ecole Normale Superieure. ,vol. 31, pp. 493- 523 ,(1998) , 10.1016/S0012-9593(98)80104-3
James E. Humphreys, Reflection groups and coxeter groups ,(1990)
Jonathan Beck, Vyjayanthi Chari, Andrew Pressley, An Algebraic Characterization of the Affine Canonical Basis Duke Mathematical Journal. ,vol. 99, pp. 455- 487 ,(1999) , 10.1215/S0012-7094-99-09915-5
Alexander Kogan, Deformations of the Classical W-Algebras Associated to Dn, E6, G2 Letters in Mathematical Physics. ,vol. 45, pp. 21- 31 ,(1998) , 10.1023/A:1007435722723