Frank Grosshans

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Frank Grosshans is an American mathematician who works in invariant theory, where he is known for the discovery of Grosshans subgroups and Grosshans graded coefficients.[1] He is a professor of mathematics at West Chester University, Pennsylvania.[2] Grosshans has been an invited speaker at meetings of the Mathematical Association of America.[3]

He received his B.S. from the University of Illinois and his Ph.D. in mathematics from the University of Chicago.[2] He taught at University of Pennsylvania and Johns Hopkins University before joining the West Chester University.

Selected books and publications[edit]

  • Goto, Morikuni; Grosshans, Frank D. (1978). Semisimple Lie algebras. New York: M. Dekker. ISBN 0-8247-6744-6. [4]
  • Grosshans, Frank D.; Rota, Gian-Carlo; Stein, Joel A. (1987). Invariant theory and superalgebras. Providence, R.I.: Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society. ISBN 0-8218-0719-6. 
  • Grosshans, Frank D. (1977). Algebraic Homogeneous Spaces and Invariant Theory (Lecture Notes in Mathematics). Springer. ISBN 3-540-63628-5. 
  • Grosshans, G. D. (1986). "Hilbert's fourteenth problem for non-reductive groups". Mathematische Zeitschrift. 193: 95–144. doi:10.1007/BF01163357. 
  • Grosshans, F. D. (1987). "Constructing invariant polynomials via tschirnhaus transformations". Constructing invariant polynomials via Tschirnhaus transformations. Lecture Notes in Mathematics. 1278. pp. 95–97. doi:10.1007/BFb0078809. ISBN 978-3-540-18360-0. 
  • Grosshans, F. D. (1 June 1981). "Rigid Motions of Conics: an Introduction to Invariant Theory". The American Mathematical Monthly. The American Mathematical Monthly, Vol. 88, No. 6. 88 (6): 407–413. doi:10.2307/2321823. ISSN 0002-9890. JSTOR 2321823. 


  1. ^ The Mathematical Association of America website, Talk Abstract, "The Fundamental Theorem of Symmetric Functions: then and now," (last accessed June 17, 2010)
  2. ^ a b West Chester University, Department of Mathematics website, (last accessed June 17, 2010)
  3. ^ MAA EPaDel Spring Meeting at Gettysburg College conferences
  4. ^ Humphreys, James E. (1979). "Review of Semisimple Lie Algebras by M. Goto and F.D. Grosshans" (PDF). Bull. Amer. Math. Soc. (N.S.). 1: 515–518. doi:10.1090/s0273-0979-1979-14600-7. 

External links[edit]