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Full Description
This volume contains the proceedings of the Amitsur Centennial Symposium, held from November 1-4, 2021, virtually and at the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel.
Shimshon Amitsur was a pioneer in several branches of algebra, the leading algebraist in Israel for several decades who contributed major theorems, inspiring results, useful observations, and enlightening tricks to many areas of the field.
The sixteen papers included in the volume represent the broad impact of Amitsur's work on such areas as the theory of finite simple groups, algebraic groups, PI-algebras and growth of rings, quadratic forms and division algebras, torsors and Severi-Brauer surfaces, octonion rings, Hopf algebras and braces, invariants, automorphisms and derivations.
Contents
Avinoam Mann, Shimshon Avraham Amitsur (1921-1994)
Avinoam Mann, Challenges for 21st century group theory
L. Alpoge, N. M. Katz, G. Navarro, E. A. O'Brien, and P. H. Tiep, Local systems and Suzuki groups
Timothy C. Burness and Robert M. Guralnick, On the generation of simple groups by Sylow subgroups
Miriam Cohen and Sara Westreich, Representations of the quantum double of quasitriangular Hopf algebras
Adam Chapman and Anne Queguiner-Mathieu, Minimal quadratic forms for the function field of a conic in characteristic 2
Uriya A. First, Highly versal torsors
Be'eri Greenfeld, Louis Rowen, and Lance Small, Optimal representability results of PI-algebras: Nilpotency, growth and chain conditions
Daniel Krashen and Max Lieblich, Transcendental splitting fields of division algebras
Michael Larsen and Aner Shalev, Groups versus rings
Eliyahu Matzri, On the symbol length of symbols
Oksana Bezushchak, Anatoliy Petravchuk, and Efim Zelmanov, Automorphisms and derivations of commutative and PI-algebras
Claudio Procesi, Tensor fundamental theorems of invariant theory
Igor A. Rapinchuk, Algebraic groups with good reduction and the genus problem
David J. Saltman, Genus 1 curves in Severi-Brauer surfaces
Agata Smoktunowicz, More on skew braces and their ideals
