Web page of George McNinch,
Assoc. Prof. in the Mathematics Department of
Tufts University
Research information:
- I study the structure and the representation theory of linear algebraic groups, especially in the case of a ground field of positive characteristic; I'm interested in applications of their study to geometric and number theoretic questions.
- Curriculum Vita (updated Sept 2006):
- Notes from my talk at the New Orleans AMS meeting, Jan. 2007.
- Notes from my seminar talk at UMass in Nov 2005
- Notes from my talk "Nilpotent centralizers in good characteristic" June 2005 EPFL Lausanne Switzerland
- Notes from my talk "Nilpotent orbits in good characteristic" in the special session of the Atlanta AMS meeting Jan 2005:
Publications and preprints:
- George J. McNinch and Donna M. Testerman, Nilpotent centralizers and Springer's isomorphisms, arXiv:0805.2574
- George J. McNinch, The centralizer of a nilpotent section, Nagoya Math J. (to appear) arXiv:math.RT/0605626.
- George J. McNinch and Donna M. Testerman, Completely reducible SL(2)-homomorphisms, Transactions AMS 2007 (359) 4489 -- 4510, arXiv:math.RT/0510377.
- George J. McNinch, Completely reducible Lie subalgebras, Transf. Groups 2007 (12) 127--135, arXiv:math.RT/0509590.
- -----, On the centralizer of the sum of commuting nilpotent elements, J. Pure and Applied Algebra (Friedlander volume) 2006 (206) 123--140. arXiv:math.RT/0412283.
- -----, Optimal SL(2) homomorphisms, Comment. Math. Helv., 2005 (80), 391-426, arXiv:math.RT/0309385.
- -----, Nilpotent orbits over ground fields of good characteristic, Mathematische Annalen, 2004 (329), 49-85, arXiv:math.RT/0209151.
- -----, Adjoint Jordan Blocks, arXiv:math.RT/0207001.
- -----, Faithful representations of SL(2) over truncated Witt vectors, Journal of Algebra, 2003 (265), 606-618, arXiv:math.RT/0109107.
- George J. McNinch and Eric Sommers, Component groups of unipotent centralizers in good characteristic, Journal of Algebra, 2003 (260), 323-337, arXiv:math.RT/0204275, Steinberg birthday volume of J. Alg..
- George J. McNinch, Sub-principal homomorphisms in good characteristic, Mathematische Zeitschrift, 2003 (244), 433-455, arXiv:math.RT/0108140.
- -----, Abelian Unipotent Subgroups of Reductive Groups, Journal of Pure and Applied Algebra, 2002 (167), 269-300, arXiv:math.RT/0007056.
- -----, The Second Cohomology of Small Irreducible Modules for Simple Algebraic Groups, Pacific Journal of Math, 2002 (204), 459-472, arXiv:math.RT/0006105.
- -----, Semisimplicity of Exterior Powers of Semisimple Representations of Groups, Journal of Algebra, 2000 (225), 646-666, URL.
- -----, Filtrations and Positive Characteristic Howe Duality, Mathematische Zeitschrift, 2000 (235), 651-685.
- -----, Semisimplicity in positive characteristic, Representation theory of algebraic and related finite groups, NATO ASI Jun 1997, Isaac Newton Inst for Math Sciences, 1998, 43-52, URL.
- -----, Semisimple Modules for Finite Groups of Lie Type, Journal of the London Mathematical Society, 1999 (60), 771-792.
- -----, Dimensional Criteria for Semisimplicity of Representations, Proceedings of the London Mathematical Society, 1998 (76), 95-149.
March 9, 2007
