
M. Susan Montgomery
M. Susan Montgomery
Professor

MAILING ADDRESS:
3620 Vermont Ave, KAP 104

Los Angeles, California 900892532

PHONE:
(213) 7402419

FAX:
(213) 7402424

OFFICE:
KAP 464E

EMAIL:
smontgom@usc.edu
Personal
Native of Lansing, Michigan
Married, three stepsons; three nieces, one nephew, five greatnieces
and nephews
Research Interests
My current research interests concern noncommutative algebras:
in particular, Hopf algebras, their structure and representations,
and their actions on other algebras.
Education
University of Michigan, B.A. (with highest honors) 1965
University of Chicago, S.M. 1966, Ph.D. 1969
Employment
DePaul University, Chicago: Assistant Professor 196970
University of Southern California:
 Assistant Professor 197075
 Associate Professor 197582
 Professor 1982present
Books
 Selected Papers on Algebra (cochair of editorial
committee), Raymond W. Brink Selected Mathematical Papers, vol 3,
Mathematical Association of America, Washington DC, 1977.
 Fixed Rings of Finite Automorphism Groups of Associative Rings
, Lecture Notes in Math 818, SpringerVerlag, New York, 1980.
 Group Actions on Rings (editor), Proceedings of Joint
Summer Research Conference, AMS Contemporary Math, vol 43, AMS 1985.
 NonCommutative Rings (coeditor with L. W. Small), MSRI
Publications, vol 24, SpringerVerlag, 1992.
 Advances in Hopf Algebras (coeditor with Jeffrey Bergen),
Lecture Notes in Pure and Applied Math 158, Marcel Dekker, 1994.
 Hopf Algebras and Their Actions on Rings, CBMS Lecture
Notes vol 82, American Math Society, Providence, RI, 1993 (238
pages).
 New Directions in Hopf Algebras (coeditor with H.J.
Schneider), MSRI Publications, vol. 43, Cambridge University Press,
2002.
Papers (since 2000)
 A FrobeniusSchur theorem for Hopf algebras (with V. Linchenko),
J. of Algebras and Representation Theory 3 (2000), 347355.
 Bicharacters, twistings, and Scheunert's theorem for Hopf algebras
(with Yu. Bahturin and D. Fischman), J. of Algebra 236
(2001), 246276.
 Skewderivations of finitedimensional algebras and actions of the
double of the Taft Hopf algebra (with H.J. Schneider), Tsukuba
J. of Math 25 (2001), 337358.
 Representation theory of finitedimensional semisimple Hopf
algebras, Algebra  Representation Theory (Constanta, 2000),
K. W. Roggenkamp and M. Stefanescu, editors, NATO Sci. Ser. II
Math. Phys. Chem. 28, Kluwer, Dordrecht, 2001, 189218.
 Polycharacters of cocommutative Hopf algebras (with Yu. Bahturin
and M. Kochetov), Canadian Math Bulletin 45 (2002), 1124.
 Computing the FrobeniusSchur indicator for abelian extensions of
Hopf algebras (with Y. Kashina and G. Mason), J. of Algebra
251 (2002), 888913.
 Generalized Lie solvability of associative algebras (with Yu.
Bahturin and M. Zaicev), Groups, Rings, Lie, and Hopf Algebras
, Yu. Bahturin, editor, Proceedings of the 2001 St. John's
conference, Kluwer, 2003, 123.
 Algebra properties invariant under twisting, Hopf algebras in
Noncommutative Geometry and Physics, S. Caenepeel and F. Van
Oystaeyen, editors, Lecture Notes in Pure and Applied Math, vol
239, Marcel Dekker, 2005, 6175.
 Krull relations in Hopf Galois extensions: lifting and twisting
(with H._J. Schneider), Journal of Algebra 288 (2005), 364383.
 Stable Jacobson radicals and semiprime smash products (with V.
Linchenko and L. W. Small), Bulletin London Math Society 37
(2005), 860872.
 Primitive ideals and Jacobson radicals in Hopf Galois extensions,
Proceedings of the XV Coloquio Latinoamericano de Algebra,
AMS Contemporary Math 376, 2005, 333344.
 Hopf powers and orders for some bismash products (with R. Landers
and P. Schauenburg), Journal of Pure and Applied Algebra
205 (2006), 156188.
 Semiprime smash products and Hstable prime radicals for PI
algebras (with V. Linchenko), AMS Proceedings 135 (2007),
30913108.
 FrobeniusSchur indicators for subgroups and the Drinfel'd double
of Weyl groups (with R. M. Guralnick), AMS Transactions
361 (2009), 36113632.
 Representations of some Hopf algebras associated to the symmetric
group S_n (with A. Jedwab), Algebras and Representation Theory
12 (2009), 117.
 Group gradings on simple Lie algebras in finite characteristic
(with Yu. Bahturin and M. Kochetov), AMS Proceedings 137
(2009), 12451254.
 Hopf Galois theory: a survey, in New Topological Contexts for
Galois Theory and Algebraic Geometry (A. Baker and B. Richter,
editors), Geometry and Topology Monographs 16 (2009), 367400.
 On the trace of the antipode and higher indicators (with Yevgenia
Kashina and SiuHung Ng), Israel J. Math, 188 (2012),
5790. (arXiv:0910.1628)
 A qidentity related to a comodule (with Andrea jedwab),
Communications in Algebra, 39 (2011), 46694678.
 Modular representations and indicators for bismash products (with
Andrea Jedwab), Journal of Algebra 377 (2013), 281297.