Rudolf Tange's Homepage

Teaching:

• Introduction to Lie algebras (MA3415)
• Introduction to group theory (MA1214)
• Elementary projective and algebraic geometry (MA2318)

Research Interests

Publications and Preprints

• Highest weight vectors for the adjoint action of GL_n on polynomials, to appear in Pac. J. Math. pdf-file
• On embeddings of certain spherical homogeneous spaces in prime characteristic, to appear in Tranform. Groups. pdf-file
• Factorisation properties of group scheme actions, to appear in Math. Zeit. pdf-file
• A bideterminant basis for a reductive monoid, to appear in J. Pure and Applied Algebra. pdf-file
• The Zassenhaus variety of a reductive Lie algebra in positive characteristic, Adv. in Math. 224 (2010), 340-354. pdf-file
• with S.Donkin, The Brauer algebra and the symplectic Schur algebra, Math. Zeit. 265 (2010), no. 1. pdf-file
• The symplectic ideal and a double centraliser theorem, J. London Math. Soc. 77 (2008), no. 3, 687-699. pdf-file
• Infinitesimal invariants in a function algebra, Canad. J. Math. 61 (2009), no.4, 950-960. pdf-file
• The centre of quantum sl_n at a root of unity, J.Algebra 301 (2006), no.1, 425-445. pdf-file
  Remark: The erratum in J.Algebra 302 (2006), no.2, 897-898, is a typographical erratum to the printed version of this paper. J.Algebra is the author of it, not me.
• with A.Premet, Zassenhaus varieties of general linear Lie algebras, J.Algebra 294 (2005), no.1, 177-195. pdf-file
• with M.Bate, B.Martin and G.Roehrle, Closed orbits and uniform S-instability in geometric invariant theory, to appear in Trans. Amer. Math. Soc. pdf-file
• with M.Bate, B.Martin and G.Roehrle, Complete reducibility and conjugacy classes of tuples in algebraic groups and Lie algebras, Math. Zeit. 269 (2011), no.3, 809-832. pdf-file
• with M.Bate, B.Martin and G.Roehrle, Complete reducibility and separability, Trans. Amer. Math. Soc. 362 (2010), no. 8, 4283-4311. pdf-file