Amitsur Centennial Symposium, November 1-4, 2021, virtual and the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel

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Amitsur Centennial Symposium, November 1-4, 2021, virtual and the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel

Avinoam Mann ... [et al.], editors

(Contemporary mathematics, 800 . Israel mathematical conference proceedings . Amitsur Centennial Symposium)

American Mathematical Society , Bar-Ilan University, c2024

  • : pbk

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Includes bibliographical references

内容説明・目次

内容説明

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.

目次

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

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