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9780821845073

Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications

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  • ISBN13:

    9780821845073

  • ISBN10:

    0821845071

  • Format: Paperback
  • Copyright: 2010-02-14
  • Publisher: Amer Mathematical Society

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Summary

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

Table of Contents

Unitary Lie algebras and Lie tori of type $BC_{r}, r\ge3$
Beyond Kirillov-Reshetikhin modules
Root vectors and an integral PBW basis of composition algebra of the valued graph $A_2^{(2)}$
Imaginary Verma modules and Kashiwara algebras for $U_q(\widehat{\mathfrak{sl}(2)})$
Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types
Multiparameter quantum groups and quantum shuffles, (I)
Tilings, Lie theory and combinatorics
The $\mathfrak{gl}_2$ Bethe algebra associated with a nilpotent element
Affine geometric crystal of type $D_4^{(3)}$
Unitary highest weight modules of locally affine Lie algebras
Finite-dimensional representation theory of loop algebras: A survey
Locally extended affine root systems
Table of Contents provided by Publisher. All Rights Reserved.

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