Donna Testerman
Template:Short description Donna Marie Testerman (born 1960)Template:R 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.Template:R
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.Template:R As a faculty member at Wesleyan University, she won a Sloan Research Fellowship in 1992.Template:R
Research
Template:Expand section 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 , then there exists a subgroup X of G which is isomorphic to the special linear group or to the projective special linear group .[1] Testerman also proved a variant theorem where one may take a surjective endomorphism that fixes u, and conclude that .[1]
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 in terms of a subsystem subgroup of G in which X is a subset.[2] 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.[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 .[2]
Books
Testerman is an author or editor of several books and book-length research monographs in mathematics, including:
- Irreducible subgroups of exceptional algebraic groups (1988)Template:R
- subgroups of exceptional algebraic groups (1999)Template:R
- Centres of centralizers of unipotent elements in simple algebraic groups (2011)Template:R
- Group Representation Theory (2007)Template:R
- Linear algebraic groups and finite groups of Lie type (2011)Template:R
References
- ↑ subgroups of exceptional algebraic groups: Memoirs of the American Mathematical Society, 141 (674), 1999, with R. Lawther. Review:
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