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Titlebook: Nathan Jacobson Collected Mathematical Papers; Volume 2 (1947–1965) Nathan Jacobson Book 1989 Birkhäuser Boston 1989 algebra.automorphism.c

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发表于 2025-3-21 18:58:46 | 显示全部楼层 |阅读模式
书目名称Nathan Jacobson Collected Mathematical Papers
副标题Volume 2 (1947–1965)
编辑Nathan Jacobson
视频video
丛书名称Contemporary Mathematicians
图书封面Titlebook: Nathan Jacobson Collected Mathematical Papers; Volume 2 (1947–1965) Nathan Jacobson Book 1989 Birkhäuser Boston 1989 algebra.automorphism.c
描述This collection contains all my published papers, both research and expository, that were published from 1934 to 1988. The research papers arranged in chronological order appear in Volume I and II and in the first part of Volume III. The expository papers, which are mainly reports presented at conferences, appear in chronological order in the last part of Volume III. Volume I covers the period 1910 to 1947, the year I moved to Yale, Volume II covers the period 1947 to 1965 when I became Chairman of the Department at Yale and Volume III covers the period from 1965 to 1989, which goes beyond my assumption of an emeritus status in 1981. I have divided the time interval covered in each volume into subintervals preceded by an account of my personal history during this period, and a commentary on the research papers published in the period. I have omitted commentaries on the expository papers and have sorted out the commentaries on the research papers according to the principal fields of my research. The personal history has been based on my recollections, checked against written documentation in my file of letters as well as diaries. One of these was a diary I kept of my trip to the USS
出版日期Book 1989
关键词algebra; automorphism; classification; clifford algebra; document; homomorphism; lie algebra; representatio
版次1
doihttps://doi.org/10.1007/978-1-4612-3694-8
isbn_softcover978-1-4612-8215-0
isbn_ebook978-1-4612-3694-8Series ISSN 0884-7037
issn_series 0884-7037
copyrightBirkhäuser Boston 1989
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发表于 2025-3-21 23:59:39 | 显示全部楼层
Derivation Algebras and Multiplication Algebras of Semi-Simple Jordan Algebrasequence of our general theorem is the known result that the derivations of semi-simple associative algebras are all inner.. Our method can be applied in other cases, too (for example, alternative algebras), but we shall not discuss these here.
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A Note on Automorphisms and Derivations of Lie Algebrast we shall need is the generalized Engel theorem that if . is a weakly closed set of nilpotent linear transformations in a finite-dimensional vector space, then the enveloping associative algebra . of . is nilpotent [3].
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A Personal History and Commentaryermitted the Department of Mathematics to offer me a tenured associated professorship in 1947. I accepted and became the first Jew to hold a tenured position in the mathematics department (and perhaps the second among all departments teaching undergraduates at Yale)..
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Operator Commutativity in Jordan algebrasince every Jordan algebra is commutative in the usual sense, the above change in terminology seems to be desirable. In this note we shall study the notion of .-commutativity for finite-dimensional Jordan algebras of characteristic 0. Our results are based on those of two previous papers [.; .].
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