Rudolf Tange's Homepage
Address:
Dr. R.H. Tange
School of Mathematics,
Trinity College Dublin,
Dublin 2,
Ireland
Office: 3.8
tel. office: +353 (0)1 896 2300
tel. secretariat: +353 (0)1 896 1949 / 896 1889
email: tanger@tcd.ie
my departmental homepage
Teaching:
Research Interests
Elementary problems in noncommutative algebra, algebraic geometry and
representation theory arising from Lie theory in positive characteristic .
Publications and Preprints
- Highest weight vectors for the adjoint action of GL_n on polynomials, to appear in Pac. J. Math.
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- On embeddings of certain spherical homogeneous spaces in prime characteristic, to appear in Tranform. Groups.
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- Factorisation properties of group scheme actions, to appear in Math. Zeit.
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- A bideterminant basis for a reductive monoid, to appear in J. Pure and Applied Algebra.
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- The Zassenhaus variety of a reductive Lie algebra in positive characteristic, Adv. in Math. 224 (2010), 340-354.
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- with S.Donkin, The Brauer algebra and the symplectic Schur algebra, Math. Zeit. 265 (2010), no. 1.
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- The symplectic ideal and a double centraliser theorem, J. London Math. Soc. 77 (2008), no. 3, 687-699.
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- Infinitesimal invariants in a function algebra, Canad. J. Math. 61 (2009), no.4, 950-960.
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- The centre of quantum sl_n at a root of unity, J.Algebra 301 (2006), no.1, 425-445.
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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.
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- 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.
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- 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.
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- with M.Bate, B.Martin and G.Roehrle, Complete reducibility and separability, Trans. Amer. Math. Soc. 362 (2010), no. 8, 4283-4311.
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