Rational representations of $GL_2$

Mathematics – Representation Theory

Scientific paper

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27 pages

Scientific paper

Let $F$ be an algebraically closed field of characteristic $p$. We fashion an
infinite dimensional basic algebra $\underleftarrow{\mathcal{C}}_p(F)$, with a
transparent combinatorial structure, which we expect to control the rational
representation theory of $GL_2(F)$.

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