| eBook ISBN: | 978-0-8218-8185-9 |
| Product Code: | CONM/506.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-8185-9 |
| Product Code: | CONM/506.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 506; 2010; 302 ppMSC: Primary 17
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.
ReadershipGraduate students and research mathematicians interested in affine Lie algebras and their generalizations.
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Table of Contents
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Articles
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Bruce Allison and Georgia Benkart — Unitary Lie algebras and Lie tori of type ${\rm BC}_r,\ r\ge 3$ [ MR 2642560 ]
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Vyjayanthi Chari and David Hernandez — Beyond Kirillov-Reshetikhin modules [ MR 2642561 ]
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Xueqing Chen and Ki-Bong Nam — Root vectors and an integral PBW basis of composition algebra of the valued graph $A_2^{(2)}$ [ MR 2642562 ]
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Ben Cox, Vyacheslav Futorny and Kailash C. Misra — Imaginary Verma modules and Kashiwara algebras for $U_q(\widehat {\mathfrak {sl}(2)})$ [ MR 2642563 ]
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Ghislain Fourier, Masato Okado and Anne Schilling — Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types [ MR 2642564 ]
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Yufeng Pei, Naihong Hu and Marc Rosso — Multi-parameter quantum groups and quantum shuffles. I [ MR 2642565 ]
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Jun Morita — Tilings, Lie theory and combinatorics [ MR 2642566 ]
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E. Mukhin, V. Tarasov and A. Varchenko — The $\mathfrak {gl}_2$ Bethe algebra associated with a nilpotent element [ MR 2642567 ]
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Mana Igarashi and Toshiki Nakashima — Affine geometric crystal of type $D_4^{(3)}$ [ MR 2642568 ]
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Karl-Hermann Neeb — Unitary highest weight modules of locally affine Lie algebras [ MR 2642569 ]
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Prasad Senesi — Finite-dimensional representation theory of loop algebras: a survey [ MR 2642570 ]
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Yoji Yoshii — Locally extended affine root systems [ MR 2642571 ]
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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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.
Graduate students and research mathematicians interested in affine Lie algebras and their generalizations.
-
Articles
-
Bruce Allison and Georgia Benkart — Unitary Lie algebras and Lie tori of type ${\rm BC}_r,\ r\ge 3$ [ MR 2642560 ]
-
Vyjayanthi Chari and David Hernandez — Beyond Kirillov-Reshetikhin modules [ MR 2642561 ]
-
Xueqing Chen and Ki-Bong Nam — Root vectors and an integral PBW basis of composition algebra of the valued graph $A_2^{(2)}$ [ MR 2642562 ]
-
Ben Cox, Vyacheslav Futorny and Kailash C. Misra — Imaginary Verma modules and Kashiwara algebras for $U_q(\widehat {\mathfrak {sl}(2)})$ [ MR 2642563 ]
-
Ghislain Fourier, Masato Okado and Anne Schilling — Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types [ MR 2642564 ]
-
Yufeng Pei, Naihong Hu and Marc Rosso — Multi-parameter quantum groups and quantum shuffles. I [ MR 2642565 ]
-
Jun Morita — Tilings, Lie theory and combinatorics [ MR 2642566 ]
-
E. Mukhin, V. Tarasov and A. Varchenko — The $\mathfrak {gl}_2$ Bethe algebra associated with a nilpotent element [ MR 2642567 ]
-
Mana Igarashi and Toshiki Nakashima — Affine geometric crystal of type $D_4^{(3)}$ [ MR 2642568 ]
-
Karl-Hermann Neeb — Unitary highest weight modules of locally affine Lie algebras [ MR 2642569 ]
-
Prasad Senesi — Finite-dimensional representation theory of loop algebras: a survey [ MR 2642570 ]
-
Yoji Yoshii — Locally extended affine root systems [ MR 2642571 ]
