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Algebraic Groups and Their Generalizations: Quantum and Infinite-Dimensional Methods, Part 2
About this Title
William J. Haboush and Brian J. Parshall, Editors
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
1994; Volume 56.2
ISBNs: 978-0-8218-1541-0 (print); 978-0-8218-9358-6 (online)
DOI: https://doi.org/10.1090/pspum/056.2
Table of Contents
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Front/Back Matter
The general theory of quantum groups
- Henning Haahr Andersen – Finite-dimensional representations of quantum groups [MR 1278723]
- Pierre Cartier – An introduction to quantum groups [MR 1278724]
- Benjamin Enriquez – Examples of compact matrix pseudogroups arising from Drinfel′d’s twisting operation [MR 1278725]
- Takahiro Hayashi – Face algebras and their Drinfel′d doubles [MR 1278726]
- Gail Letzter – Representation theory for quantized enveloping algebras [MR 1278727]
- Zong Zhu Lin – Rational representations of Hopf algebras [MR 1278728]
- Jan Paradowski – Filtrations of modules over the quantum algebra [MR 1278729]
- A. Sudbery – Quantum groups as invariance groups [MR 1278730]
- Mitsuhiro Takeuchi – The quantum hyperalgebra of $\mathrm {SL}_q(2)$ [MR 1278731]
Crystal bases
- Jie Du – $\mathrm {IC}$ bases and quantum linear groups [MR 1278732]
- V. Lakshmibai – Bases for quantum Demazure modules. II [MR 1278733]
- G. Lusztig – Problems on canonical bases [MR 1278734]
Quantum groups and category theory
- M. M. Kapranov and V. A. Voevodsky – 2-categories and Zamolodchikov tetrahedra equations [MR 1278735]
Vertex operator algebras, the moonshine module and related topics
- Chongying Dong and James Lepowsky – Abelian intertwining algebras—a generalization of vertex operator algebras [MR 1278736]
- Chongying Dong, Geoffrey Mason and Yongchang Zhu – Discrete series of the Virasoro algebra and the moonshine module [MR 1278737]
- Alex J. Feingold – Constructions of vertex operator algebras [MR 1278738]
- Yi-Zhi Huang – Binary trees and finite-dimensional Lie algebras [MR 1278739]
Infinite dimensional groups and Lie algebras
- A. G. Helminck and G. F. Helminck – Holomorphic line bundles over Hilbert flag varieties [MR 1278740]
- Loki Natarajan, Enriqueta Rodríguez-Carrington and Joseph A. Wolf – New classes of infinite-dimensional Lie groups [MR 1278741]
- Guy Rousseau – On forms of Kac-Moody algebras [MR 1278742]
- Alexander A. Voronov – Semi-infinite cohomology of Lie algebras [MR 1278743]