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Recent Progress in Algebra
Edited by: Sang Geun Hahn, Korea Advanced Institute of Science & Technology, Taejon, Korea, Hyo Chul Myung, Korea Institute for Advanced Study, Seoul, and Efim Zelmanov, Yale University, New Haven, CT
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Contemporary Mathematics
1999; 243 pp; softcover
Volume: 224
ISBN-10: 0-8218-0972-5
ISBN-13: 978-0-8218-0972-3
List Price: US$67
Member Price: US$53.60
Order Code: CONM/224
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This volume presents the proceedings of the international conference on "Recent Progress in Algebra" that was held at the Korea Advanced Institute of Science and Technology (KAIST) and Korea Institute for Advanced Study (KIAS). It brought together experts in the field to discuss progress in algebra, combinatorics, algebraic geometry and number theory. This book contains selected papers contributed by conference participants. The papers cover a wide range of topics and reflect the current state of research in modern algebra.

Readership

Graduate students and research mathematicians working in algebra and combinatorics.

Table of Contents

  • G. W. Anderson -- A double complex for computing the sign-cohomology of the universal ordinary distribution
  • G. Benkart -- Down-up algebras and Witten's deformations of the universal enveloping algebra of \(\mathfrak{sl}_2\)
  • T. Chinburg, B. Erez, G. Pappas, and M. Taylor -- Localizations of Grothendieck groups and Galois structure
  • I. V. Dolgachev -- Invariant stable bundles over modular curves \(\mathbf{X(p)}\)
  • A. Elduque -- Okubo algebras and twisted polynomials
  • E.-U. Gekeler -- Some new results on modular forms for \(\mathbf{GL}(2,\mathbb F_q[T])\)
  • H. C. Jung -- Counting jump optimal linear extensions of some posets
  • M. Kosuda -- The irreducible representations of categories
  • A. R. Magid -- Prounipotent prolongation of algebraic groups
  • C. Martinez -- Graded simple Jordan algebras and superalgebras
  • D. Moon -- The centralizer algebra of the Lie superalgebra \(\mathfrak p(n)\) and the decomposition of \(V^{\otimes k}\) as a \(\mathfrak p(n)\)-module
  • I. Yu. Potemine -- Drinfeld-Anderson motives and multicomponent \(\mathbf{KP}\) hierarchy
  • Yu. G. Zarhin and B. J. J. Moonen -- Weil classes and Rosati involutions on complex abelian varieties
  • E. Zelmanov -- On some open problems related to the restricted Burnside problem
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