A simultaneous Frobenius splitting for closures of conjugacy classes of nilpotent matrices
V. B. Mehta, Wilberd Van der Kallen (1992)
Compositio Mathematica
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V. B. Mehta, Wilberd Van der Kallen (1992)
Compositio Mathematica
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Nikolai Vavilov (2000)
Rendiconti del Seminario Matematico della Università di Padova
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Annette Werner (2011)
Open Mathematics
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We relate some features of Bruhat-Tits buildings and their compactifications to tropical geometry. If G is a semisimple group over a suitable non-Archimedean field, the stabilizers of points in the Bruhat-Tits building of G and in some of its compactifications are described by tropical linear algebra. The compactifications we consider arise from algebraic representations of G. We show that the fan which is used to compactify an apartment in this theory is given by the weight polytope...
Walter Griffith (1983)
Fundamenta Mathematicae
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Péter Frenkel (2006)
Open Mathematics
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We give formulae relating the value Xλ (g) of an irreducible character of a classical group G to entries of powers of the matrix g ε G. This yields a far-reaching generalization of a result of J.L. Cisneros-Molina concerning the GL 2 case [1].
Nekovář, Jan (2007)
Documenta Mathematica
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J. Klimek, W. Kraśkiewicz, J. Weyman (1998)
Colloquium Mathematicae
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Laurent Manivel, Dennis M. Snow (1996)
Compositio Mathematica
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Böhning, Christian (2006)
Documenta Mathematica
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