Rudolf Tange's Homepage
Address:
Dr. R.H. Tange
School of Mathematics
University of Leeds
LS2 9JT, Leeds, UK
Office: 9.20
tel. office: +44 (0)113 343 9246
tel. secretariat: +44 (0)113 343 5101
email: R.H.Tange "AT" leeds.ac.uk
my departmental page
Leeds algebra page
Teaching:
Research Interests
Lie (pron. ``Lee") theory in positive characteristic.
Publications and Preprints
- Invariants in divided power algebras, to appear in J. Algebra.
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- Injective and tilting resolutions for induced modules, Algebr. Represent. Theory 26 (2023), 2819-2839.
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- A combinatorial translation principle and diagram combinatorics for the general linear group, Transform. Groups 28 (2023), no.4, 1687-1719.
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- with H.Li, A combinatorial translation principle and diagram combinatorics for the symplectic group, Transform. Groups 29 (2024), 231-252.
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- Corrigendum to: On the first restricted cohomology of a reductive Lie algebra and its Borel subalgebras, to appear in Ann. Inst. Fourier (Grenoble).
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Remark: The corrigendum doesn't affect any results, only some proofs.
- On the first restricted cohomology of a reductive Lie algebra and its Borel subalgebras, Ann. Inst. Fourier (Grenoble) 69 (2019), no. 3, 1295-1308.
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- with A.Dent, Bases for spaces of highest weight vectors in arbitrary characteristic, Algebr. Represent. Theory 22 (2019), no. 5, 1133-1147.
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- Embeddings of spherical homogeneous spaces in characteristic p, Math. Zeit. 288 (2018), no. 1-2, 491–508.
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- Highest weight vectors and transmutation, Transform. Groups 24 (2019), no 2, 563-588.
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- Highest weight vectors for the adjoint action of GL_n on polynomials, II, Transform. Groups 20 (2015), no. 3, 817-830.
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- Highest weight vectors for the adjoint action of GL_n on polynomials, Pac. J. Math. 258 (2012), no. 2, 497-510.
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- On embeddings of certain spherical homogeneous spaces in prime characteristic, Transform. Groups. 17 (2012), no. 3, 861-888.
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- Factorisation properties of group scheme actions, Math. Zeit. 271 (2012), no. 1-2, 157-165.
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- A bideterminant basis for a reductive monoid, J. Pure and Applied Algebra. 216 (2012), no. 5, 1207-1221.
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- The Zassenhaus variety of a reductive Lie algebra in positive characteristic, Adv. in Math. 224 (2010), no. 1, 340-354.
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- with S.Donkin, The Brauer algebra and the symplectic Schur algebra, Math. Zeit. 265 (2010), no. 1, 187-219.
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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, Trans. Amer. Math. Soc. 365 (2013), no. 7, 3643-3673.
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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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