Donna Testerman

Donna Marie Testerman (born 1960) is a mathematician specializing in the representation theory of algebraic groups. She is a professor of mathematics at the École Polytechnique Fédérale de Lausanne in Switzerland.

Testerman completed her Ph.D. at the University of Oregon in 1985. Her dissertation, Certain Embeddings of Simple Algebraic Groups, was supervised by Gary Seitz. As a faculty member at Wesleyan University, she won a Sloan Research Fellowship in 1992.

Research

In 1992, Testerman proved that if G is a semisimple algebraic group over an algebraically closed field k of characteristic p and p is a good prime for G, and u is an element of G satisfying up=1, then there exists a subgroup X of G which is isomorphic to the special linear group SL2(k) or to the projective special linear group PSL2(k). Testerman also proved a variant theorem where one may take a surjective endomorphism σ that fixes u, and conclude that σ(X)⊆X.

In 1993, Martin W. Liebeck, Jan Saxl, and Testerman classified all simple, closed, connected subgroups X of a simple algebraic group G over an algebraically closed field k in the case where rank(X)≥12rank(G) in terms of a subsystem subgroup of G in which X is a subset. In particular, there are only finitely many such conjugacy classes, except in the case where X is D4, G is E7, and the characteristic is 2. Using similar methods, the three authors were also able to use similar methods to classify subgroups X of a finite group of Lie type that is quasisimple where rank(X)≥12rank(G).

Books

Testerman is an author or editor of several books and book-length research monographs in mathematics, including:

References

  1. ↑ Birth year from Library of Congress catalog data, retrieved 2019-09-09
  2. ↑ Donna Testerman, École Polytechnique Fédérale de Lausanne, retrieved 2019-09-09
  3. ↑ Donna Testerman at the Mathematics Genealogy Project
  4. ↑ Past Fellows, Sloan Foundation, retrieved 2019-09-09
  5. 1 2 Testerman, Donna (1995). "A1-type Overgroups of Elements of Order p in Semisimple Algebraic Groups and the Associated Finite Groups". Journal of Algebra. 177: 34–76.
  6. 1 2 3 Liebeck, Martin W.; Saxl, Jan; Testerman, Donna M. (March 1996). "Simple Subgroups of Large Rank in Groups of Lie Type". Proceedings of the London Mathematical Society. s3-72 (2): 425–457. doi:10.1112/plms/s3-72.2.425.
  7. ↑ Irreducible subgroups of exceptional algebraic groups: Memoirs of the American Mathematical Society, 75 (390), 1988. Review: Carter, R. W. (1990), Mathematical Reviews, MR 0961210{{citation}}: CS1 maint: untitled periodical (link)
  8. ↑ A1 subgroups of exceptional algebraic groups: Memoirs of the American Mathematical Society, 141 (674), 1999, with R. Lawther. Review: Suprunenko, Irina (2000), Mathematical Reviews, MR 1466951{{citation}}: CS1 maint: untitled periodical (link)
  9. ↑ Lawther, R. (2011). Centres of centralizers of unipotent elements in simple algebraic groups. Donna M. Testerman. Providence, R.I.: American Mathematical Society. ISBN 978-1-4704-0605-9. OCLC 701243484. Review: Burness, Timothy C. (2012), Mathematical Reviews, MR 2780340{{citation}}: CS1 maint: untitled periodical (link)
  10. ↑ Geck, Meinolf (2007). Group representation theory. Donna M. Testerman, Jacques Thévenaz (1st ed.). Lausanne, Switzerland: EPFL Press. ISBN 978-2-940222-12-4. OCLC 137145813.
  11. ↑ Malle, Gunter (2011). Linear Algebraic Groups and Finite Groups of Lie Type. Donna Testerman. Cambridge: Cambridge University Press. ISBN 978-1-139-11785-2. OCLC 769341770.Review: Burness, Timothy C. (2012), Mathematical Reviews, MR 2850737{{citation}}: CS1 maint: untitled periodical (link)