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Cornelius Pillen

Cornelius Pillen

Professor Emeritus
Department of Math and Statistics

Publications

            

  • , coauthored with C.P. Bendel, D.K. Nakano, P. Sobaje, J., preprint.                                                      
  • New Generic Lower Bound, coauthored with C.P. Bendel, D.K. Nakano, P. Sobaje, J. Algebra, DOI: 10.1016/j.jalgebra.2023.07.001, (2023).  
                                                      

  • , coauthored with C.P. Bendel, D.K. Nakano, P. Sobaje, Compositio Math. 160, 1167 --1193, (2024).

  • , coauthored with C.P. Bendel, D.K. Nakano, P. Sobaje, Represent. Theory 26, 455 - 497, (2022).

  • , Alabama Journal of Mathematics, Vol. 25, (2022).                                                                                                     

  • , coauthored with C.P. Bendel, D.K. Nakano, P. Sobaje, Journal fuer die Reine und Angewandte Mathematik (Crelle's Journal) 767, 193 -202, (2020).

  • , coauthored with C.P. Bendel, D.K. Nakano, P. Sobaje, Transformation Groups 25, no. 4, 981 - 1008, (2020).

  • , coauthored with C.P. Bendel, D.K. Nakano, Lie algebras, Lie superalgebras, vertex algebras and related topics, 81 - 118, Proc. Sympos. Pure Math., 92, Amer. Math. Soc., Providence, RI, (2016).

  • , coauthored with C.P. Bendel, D.K. Nakano, B.J. Parshall, L.L. Scott and D.I. Stewart, Algebras and Representation Theory 18, no. 3, 739 -760, (2015).

  • , coauthored with C.P. Bendel, D.K. Nakano, Adv. Math. , 262, 484-519, (2014).

  • , coauthored with C.P. Bendel, B.D. Boe, C.M. Drupieski, D.K. Nakano, B.J. Parshall, and C.B. Wright, Current Developments and Retrospectives in Lie Theory, Algebraic Methods, Developments in Mathematics 38, Springer Verlag, (2014).

  • , coauthored with C.P. Bendel, D.K. Nakano and B.J. Parshall, Memoirs of the AMS , 229, no 1077, (2014).

  • , coauthored with C.P. Bendel and D.K. Nakano, Recent Developments in Lie Algebras, Groups, and Representation Theory, Proceedings of Symposia in Pure Mathematics, Volume 86, (2012).

  • , coauthored with C.P. Bendel, D.K. Nakano, International Mathematics Research Notices, rnr130, doi:10.1093/imrn/rnr130, (2011).

  • , coauthored with C. Bendel and D.K. Nakano, Adv. Math. , 201, 162-197, (2007).

  • , coauthored with C. Bendel and D.K. Nakano, Representations of Algebraic Groups, Quantum Groups, and Lie Algebras, Contemporary Mathematics, Vol. 413, AMS (2006).

  • , Representations of Algebraic Groups, Quantum Groups, and Lie Algebras, Contemporary Mathematics, Vol. 413, AMS (2006).

  • , coauthored with C. Bendel and D.K. Nakano, Finite Groups 2003, de Gruyter, New York, 29-46 (2004).

  • , coauthored with C. Bendel and D.K. Nakano, J. Algebra , 272, 476-511, (2004).

  • , coauthored with C. Bendel and D.K. Nakano, Trans. Amer. Math. Soc., 354, 4421-4454, (2002).

  • , coauthored with C. Bendel and D.K. Nakano, Adv. Math. , 183, 380-408, (2004).

  • , finite Chevalley groups and Frobenius kernels , coauthored with C. Bendel and D.K. Nakano, Journal of Pure and Applied Algebra, 163, 119-146, (2001).

  • , J. Algebra, 212, 419-427, (1999).

  • , J. Algebra, 189, 101-124, (1997).

  • , J. Algebra, 174, 934-947 (1995).

  • , Arch. Math., Vol. 61, 421-433 (1993).

  • , Comm. Algebra, 21(10), 3647-3661 (1993).

  • Tensor Products and Injectives for Groups of Lie Type, Ph.D. Thesis, University of Massachusetts, 1992.

  • The Sum of an Abelian and a Nilpotent Lie Algebra is Solvable, [German], Results in Mathematics, Vol. 2 (1987), 117-121, MR 88e:17006.

  • Criteria for Solvability of Lie Algebras with Abelian and Nilpotent Summands, [German], Diplomarbeit, Albert-Ludwigs-Universität, Freiburg, 1986.

Teaching

For information on my classes please go to USAonline (Canvas).