This volume contains the proceedings of the conference on Quantum Affine Algebras, Extended Affine Lie Algebras, and Applications, which was held at the Banff International Research Station, Banff, Canada, from March 2-7, 2008.

Many of the papers include new results on different aspects of quantum affine algebras, extended affine Lie algebras, and their applications in other areas of mathematics and physics. Any reader interested in learning about the recent developments in quantum affine algebras and extended affine Lie algebras will benefit from this book.

Readership

Graduate students and research mathematicians interested in affine Lie algebras and their generalizations.

Table of Contents

• B. Allison and G. Benkart -- Unitary Lie algebras and Lie tori of type $BC_{r}, r\ge3$
• V. Chari and D. Hernandez -- Beyond Kirillov-Reshetikhin modules
• X. Chen and K.-B. Nam -- Root vectors and an integral PBW basis of composition algebra of the valued graph $A_2^{(2)}$
• B. Cox, V. Futorny, and K. C. Misra -- Imaginary Verma modules and Kashiwara algebras for $U_q(\widehat{\mathfrak{sl}(2)})$
• G. Fourier, M. Okado, and A. Schilling -- Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types
• Y. Pei, N. Hu, and M. Rosso -- Multiparameter quantum groups and quantum shuffles, (I)
• J. Morita -- Tilings, Lie theory and combinatorics
• E. Mukhin, V. Tarasov, and A. Varchenko -- The $\mathfrak{gl}_2$ Bethe algebra associated with a nilpotent element
• M. Igarashi and T. Nakashima -- Affine geometric crystal of type $D_4^{(3)}$
• K.-H. Neeb -- Unitary highest weight modules of locally affine Lie algebras
• P. Senesi -- Finite-dimensional representation theory of loop algebras: A survey
• Y. Yoshii -- Locally extended affine root systems