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Showing 1 to 4 of 4 for “"semisimple algebraic group"”.
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Rigid Analytic Quantum Groups
… introduce a theory of $p$-adic analytic quantum groups. We first define Fréchet completions $\wideparen{U_q(\mathfrak{g})}$ and $\wideparen{\mathcal{O}_q(G)}$ of the quantized enveloping algebra of a semisimple Lie algebra $\mathfrak{g}$ and the quantized coordinate ring of the corresponding …
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Geometric Langlands in prime characteristic
Let C be a smooth projective curve over an algebraically closed field k of sufficiently large characteristic. Let G be a semisimple algebraic group over k and let GV be its Langlands dual group over k. Denote by BunG the moduli stack of G-bundles on C and LocSysGv the moduli stack of Gv-local …
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Line Bundles on Projective Homogeneous Spaces
… of projective homogeneous spaces G/H for a semisimple algebraic group G in characteristic p $>$ 0, where H is a subgroup scheme containing a Borel subgroup B. In characteristic p $>$ 0 there are an infinite number of subgroup schemes containing B--the reduced ones are the ordinary parabolic …
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Descent Systems, Eulerian Polynomials and Toric Varieties
… X(J) which comes naturally from the theory of algebraic monoids. Using effectively the cross section lattice of a reductive monoid and the combinatorics of simple polytopes, we obtain a recurrence formula for the Poincar e polynomial of X(J) in terms of the Eulerian polynomials. Furthermore, we …