A. A. Albert
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Abraham Adrian Albert
)A. A. Albert | |
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| Born | Abraham Adrian Albert November 9, 1905 |
Abraham Adrian Albert (November 9, 1905 – June 6, 1972) was an American
number fields and as the developer of Albert algebras, which are also known as exceptional Jordan algebras
.
Professional overview
A first generation
Abelian varieties and their endomorphism algebras. He returned to Princeton for the opening year of the Institute for Advanced Study in 1933-34 and spent another year in Princeton in 1961-62 as the first Director of the Communications Research Division of the Institute for Defense Analyses (IDA). He later served on the Board of Trustees of IDA 1969-1972.[3]
From 1931 to 1972, he served on the mathematics faculty at the University of Chicago, where he became chair of the Mathematics Department in 1958 and Dean of the Physical Sciences Division in 1961.
As a research mathematician, he is primarily known for his work as one of the principal developers of the theory of
associative algebras, although all of this grew out of his work on endomorphism
algebras of Abelian varieties.
As an
digital communications
technologies.
After WWII, he became a forceful advocate favoring government support for research in mathematics on a par with physical sciences. He served on policy-making bodies at the
United States National Research Council, and the National Science Foundation that funneled research grants into mathematics, giving many young mathematicians career opportunities previously unavailable. Due to his success in helping to give mathematical research a sound financial footing, he earned a reputation as a "statesman for mathematics." Albert was elected a Fellow of the American Academy of Arts and Sciences in 1968.[4]
Publications
Scholia has a profile for Abraham Adrian Albert (Q323442).
Books
- A. A. Albert, Algebras and their radicals, and division algebras, 1928.
- Albert, A. Adrian (2015) [1938], Modern higher algebra, ISBN 978-1-107-54462-8.[5]
- A. A. Albert, Structure of algebras, 1939.ISBN 0-8218-1024-3.
- Introduction to algebraic theories, 1941[7]
- College algebra, 1946
- Solid analytic geometry, 1949
- Fundamental concepts of higher algebra, 1956[8]
- with Rebeun Sandler: Introduction to finite projective planes. 1968.
- Albert, A. Adrian (1993), Block, Richard E.; MR 1213451
- Albert, A. Adrian (1993), Block, Richard E.; MR 1213452
Articles in PNAS
- Albert, A. A. (1957). "The Norm Form of a Rational Division Algebra". Proc Natl Acad Sci U S A. 43 (6): 506–9. PMID 16590045.
- Albert, A. A. (1955). "On Hermitian Operators over the Cayley Algebra". Proc Natl Acad Sci U S A. 41 (9): 639–40. PMID 16589719.
- Albert, A. A. (1950). "A Note on the Exceptional Jordan Algebra". Proc Natl Acad Sci U S A. 36 (7): 372–4. PMID 15430315.
- Albert, A. A. (1949). "A Theory of Trace-Admissible Algebras". Proc Natl Acad Sci U S A. 35 (6): 317–22. PMID 16588897.
- Albert, A. A. (1944). "The Minimum Rank of a Correlation Matrix". Proc Natl Acad Sci U S A. 30 (6): 144–6. PMID 16588638.
- Albert, A. A. (1944). "The Matrices of Factor Analysis". Proc Natl Acad Sci U S A. 30 (4): 90–5. PMID 16578117.
- Albert, A. A. (1930). "On the Structure of Pure Riemann Matrices with Non-commutative Multiplication Algebras". Proc Natl Acad Sci U S A. 16 (4): 308–12. PMID 16587573.
- Albert, A. A. (1928). "The Group of the Rank Equation of Any Normal Division Algebra". Proc Natl Acad Sci U S A. 14 (12): 906–7. PMID 16587420.
- Albert, A. A. (1963). "On the Nuclei of a Simple Jordan Algebra". Proc Natl Acad Sci U S A. 50 (3): 446–7. PMID 16578544.
- Albert, A. A. (1956). "A Property of Special Jordan Algebras". Proc Natl Acad Sci U S A. 42 (9): 624–5. PMID 16589918.
- Albert, A. A. (1955). "On Involutorial Algebras". Proc Natl Acad Sci U S A. 41 (7): 480–2. PMID 16589700.
- Albert, A. A. (1934). "Involutorial Simple Algebras and Real Riemann Matrices". Proc Natl Acad Sci U S A. 20 (12): 676–81. PMID 16587930.
- Albert, A. A. (1931). "Normal Division Algebras of 22m ". Proc Natl Acad Sci U S A. 17 (6): 389–92. PMID 16587641.
- Albert, A. A. (1930). "On Direct Products, Cyclic Division Algebras, and Pure Riemann Matrices". Proc Natl Acad Sci U S A. 16 (4): 313–5. PMID 16587574.
- Albert, A. A. (1929). "The Rank Function of Any Simple Algebra". Proc Natl Acad Sci U S A. 15 (4): 372–6. PMID 16587486.
- Albert, A. A. (1928). "Normal Division Algebras Satisfying Mild Assumptions". Proc Natl Acad Sci U S A. 14 (12): 904–6. PMID 16587419.
References
- ^ "Jewish Mathematicians".
- ^ Jewish recipients of the Frank Nelson Cole Prizes in algebra and number theory (43% of recipients)
- ^
Celebratio Mathematica. Mathematical Sciences Publishers. Retrieved 2023-11-04.
- ^ "Book of Members, 1780-2010: Chapter A" (PDF). American Academy of Arts and Sciences. Archived (PDF) from the original on 10 May 2011. Retrieved 6 April 2011.
- .
- .
- S2CID 4088670.
- .
Further reading
- Nancy E. Albert, A3 and His Algebra: How a Boy from Chicago's West Side Became a Force in American Mathematics, iUniverse, Lincoln, NE, 2005. ISBN 978-0-595-32817-8.
External links
- A. A. Albert at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "A. A. Albert", MacTutor History of Mathematics Archive, University of St Andrews
- Abraham Adrian Albert 1905–1972, A Biographical Memoir by Irving Kaplansky
- National Academy of Sciences Biographical Memoir
- search on author Abraham Adrian Albert from Google Scholar
- Guide to the Abraham Adrian Albert Papers 1921-2004 from the University of Chicago Special Collections Research Center
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