Moss Eisenberg Sweedler (born 29 April 1942, in Brooklyn)[Dates of birth, report from Guggenheim Foundation 1980] is an American mathematician, known for Sweedler's Hopf algebra, Sweedler's notation, measuring coalgebras, and his proof, with Harry Prince Allen, of a conjecture of Nathan Jacobson.
Education and career
Sweedler received his Ph.D. from the Massachusetts Institute of Technology in 1965. His thesis,
Commutative Hopf Algebras with Antipode, was written under the direction of thesis advisor
Bertram Kostant.
Sweedler wrote
Hopf Algebras (1969), which became the standard reference book on
. He, with Harry P. Allen, used Hopf algebras to prove in 1969 a famous 25-year-old conjecture of Jacobson about the forms of generalized Witt algebras over algebraically closed fields of finite characteristic. From 1965 to the mid 1980s Sweeder worked on commutative algebra and related disciplines.
[ Moss E. Sweedler, www.math.cornell.edu] Since the mid 1980s Sweedler has worked primarily on
computer algebra. His research resulted in his position as director of the Army Center of Excellence for computer algebra.
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Sweedler was an Invited Speaker at the International Congress of Mathematicians in 1974 in Vancouver.[ John Simon Guggenheim Foundation | Moss E. Sweedler]
With his wife Kristin, he helped establish the Sweedler Nature Preserve.[ Lick Brook Falls @ Sweedler Nature Preserve]
Selected publications
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with H. P. Allen:
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with Richard G. Larson:
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Groups of simple algebras, Institut des Hautes Etudes Scientifiques 44 (1975), 79–189.
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with Kenneth Newman:
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with Darrell E. Halle and R. Larson:
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with I. Rubio and C. Heegard: Gröbner bases for linear recursion relations on m-D arrays and applications to decoding, Proc. IEEE Int'l Symp. on Information Theory, June 29–July 4, 1997, Ulm, Germany.
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with K. Shirayanagi: Remarks on automatic algorithm stabilization, invited contribution to (fourth) IMACS Conf. on Appl. of Computer Algebra (1998).
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with L. Robbiano:
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with Edward Mosteig:
