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