| eBook ISBN: | 978-0-8218-8112-5 |
| Product Code: | CONM/433.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-8112-5 |
| Product Code: | CONM/433.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsIsrael Mathematical Conference ProceedingsVolume: 433; 2007; 336 ppMSC: Primary 16; 81; 18; 17
The papers in this volume are based on the talks given at the conference on quantum groups dedicated to the memory of Joseph Donin, which was held at the Technion Institute, Haifa, Israel in July 2004. A survey of Donin's distinguished mathematical career is included. Several articles, which were directly influenced by the research of Donin and his colleagues, deal with invariant quantization, dynamical \(R\)-matrices, Poisson homogeneous spaces, and reflection equation algebras. The topics of other articles include Hecke symmetries, orbifolds, set-theoretic solutions to the pentagon equations, representations of quantum current algebras, unipotent crystals, the Springer resolution, the Fourier transform on Hopf algebras, and, as a change of pace, the combinatorics of smoothly knotted surfaces.
The articles all contain important new contributions to their respective areas and will be of great interest to graduate students and research mathematicians interested in Hopf algebras, quantum groups, and applications.
This book is copublished with Bar-Ilan University (Ramat-Gan, Israel).
ReadershipGraduate students and research mathematicians interested in Hopf algebras, quantum groups, and applications.
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Table of Contents
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Articles
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Andrey Mudrov and Steve Shnider — Joseph Donin’s mathematical research, 1966–2003 [ MR 2349616 ]
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Arkady Berenstein and David Kazhdan — Geometric and unipotent crystals. II. From unipotent bicrystals to crystal bases [ MR 2349617 ]
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R. Bezrukavnikov and A. Lachowska — The small quantum group and the Springer resolution [ MR 2349618 ]
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A. Braverman, D. Gaitsgory and M. Vybornov — Relation between two geometrically defined bases in representations of ${\rm GL}_n$ [ MR 2349619 ]
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Miriam Cohen and Sara Westreich — Fourier transforms for Hopf algebras [ MR 2349620 ]
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Benjamin Enriquez, Pavel Etingof and Ian Marshall — Quantization of some Poisson-Lie dynamical $r$-matrices and Poisson homogeneous spaces [ MR 2349621 ]
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B. Enriquez, S. Pakuliak and V. Rubtsov — Basic representations of quantum current algebras in higher genus [ MR 2349622 ]
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G. Felder, R. Rimányi and A. Varchenko — Poincaré-Birkhoff-Witt expansions of the canonical elliptic differential form [ MR 2349623 ]
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D. Gurevich and P. Saponov — Geometry of non-commutative orbits related to Hecke symmetries [ MR 2349624 ]
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Vladimir Hinich — Drinfeld double for orbifolds [ MR 2349625 ]
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R. M. Kashaev and N. Reshetikhin — Symmetrically factorizable groups and self-theoretical solutions of the pentagon equation [ MR 2349626 ]
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P. P. Kulish and A. I. Mudrov — Dynamical reflection equation [ MR 2349627 ]
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Glenn Lancaster, Richard Larson and Jacob Towber — On the combinatorics of Carter-Rieger-Saito movies in the theory of smoothly knotted surfaces in $\Bbb R^4$ [ MR 2349628 ]
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Additional Material
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The papers in this volume are based on the talks given at the conference on quantum groups dedicated to the memory of Joseph Donin, which was held at the Technion Institute, Haifa, Israel in July 2004. A survey of Donin's distinguished mathematical career is included. Several articles, which were directly influenced by the research of Donin and his colleagues, deal with invariant quantization, dynamical \(R\)-matrices, Poisson homogeneous spaces, and reflection equation algebras. The topics of other articles include Hecke symmetries, orbifolds, set-theoretic solutions to the pentagon equations, representations of quantum current algebras, unipotent crystals, the Springer resolution, the Fourier transform on Hopf algebras, and, as a change of pace, the combinatorics of smoothly knotted surfaces.
The articles all contain important new contributions to their respective areas and will be of great interest to graduate students and research mathematicians interested in Hopf algebras, quantum groups, and applications.
This book is copublished with Bar-Ilan University (Ramat-Gan, Israel).
Graduate students and research mathematicians interested in Hopf algebras, quantum groups, and applications.
-
Articles
-
Andrey Mudrov and Steve Shnider — Joseph Donin’s mathematical research, 1966–2003 [ MR 2349616 ]
-
Arkady Berenstein and David Kazhdan — Geometric and unipotent crystals. II. From unipotent bicrystals to crystal bases [ MR 2349617 ]
-
R. Bezrukavnikov and A. Lachowska — The small quantum group and the Springer resolution [ MR 2349618 ]
-
A. Braverman, D. Gaitsgory and M. Vybornov — Relation between two geometrically defined bases in representations of ${\rm GL}_n$ [ MR 2349619 ]
-
Miriam Cohen and Sara Westreich — Fourier transforms for Hopf algebras [ MR 2349620 ]
-
Benjamin Enriquez, Pavel Etingof and Ian Marshall — Quantization of some Poisson-Lie dynamical $r$-matrices and Poisson homogeneous spaces [ MR 2349621 ]
-
B. Enriquez, S. Pakuliak and V. Rubtsov — Basic representations of quantum current algebras in higher genus [ MR 2349622 ]
-
G. Felder, R. Rimányi and A. Varchenko — Poincaré-Birkhoff-Witt expansions of the canonical elliptic differential form [ MR 2349623 ]
-
D. Gurevich and P. Saponov — Geometry of non-commutative orbits related to Hecke symmetries [ MR 2349624 ]
-
Vladimir Hinich — Drinfeld double for orbifolds [ MR 2349625 ]
-
R. M. Kashaev and N. Reshetikhin — Symmetrically factorizable groups and self-theoretical solutions of the pentagon equation [ MR 2349626 ]
-
P. P. Kulish and A. I. Mudrov — Dynamical reflection equation [ MR 2349627 ]
-
Glenn Lancaster, Richard Larson and Jacob Towber — On the combinatorics of Carter-Rieger-Saito movies in the theory of smoothly knotted surfaces in $\Bbb R^4$ [ MR 2349628 ]
