Background
Montgomery, M. Susan was born on April 2, 1943 in Tampa, Florida, United States. Daughter of Robert Grove and Clara Alice (German) Montgomery.
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book
Hopf Algebras and Their Actions on Rings (Cbms Regional Conference Series in Mathematics)
(The last ten years have seen a number of significant adva...)
The last ten years have seen a number of significant advances in Hopf algebras. The best known is the introduction of quantum groups, which are Hopf algebras that arose in mathematical physics and now have connections to many areas of mathematics. In addition, several conjectures of Kaplansky have been solved, the most striking of which is a kind of Lagrange's theorem for Hopf algebras. Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras. This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions. Quantum groups are treated as an important example, rather than as an end in themselves. The two introductory chapters review definitions and basic facts; otherwise, most of the material has not previously appeared in book form. Providing an accessible introduction to Hopf algebras, this book would make an excellent graduate textbook for a course in Hopf algebras or an introduction to quantum groups.
http://www.amazon.com/gp/product/0821807382/?tag=2022091-20
Hopf Algebras and Their Actions on Rings (Cbms Regional Conference Series in Mathematics) by Susan Montgomery (1993-10-28)
http://www.amazon.com/gp/product/B01MQH15TE/?tag=2022091-20
M. Susan Montgomery
Edit ProfileEducation
Bachelor, University of Michigan, 1965; Master of Science, University of Chicago, 1966; Doctor of Philosophy, University of Chicago, 1969.
Career
Assistant professor mathematics, DePaul University, Chicago, 1969-1970; assistant professor, associate professor, University of Southern California, Los Angeles, 1970-1982; professor, University of Southern California, Los Angeles, since 1982; department chairman, University of Southern California, Los Angeles, since 1996. Trustee American Mathematics Society, Providence, Rhode Island, 1986-1996. Member Board Mathematics Sciences, Washington, since 1995.
Achievements
Works
book
-
Hopf Algebras and Their Actions on Rings (Cbms Regional Conference Series in Mathematics)
(The last ten years have seen a number of significant adva...)
- Hopf Algebras and Their Actions on Rings (Cbms Regional Conference Series in Mathematics) by Susan Montgomery (1993-10-28)
-
Hopf Algebras and Their Actions on Rings (Cbms Regional Conference Series in Mathematics)
Connections
Married Robert James Blattner, March 26, 1983.
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Born
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Nationality
American