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arXiv · 1905.02382

A construction of projective bases for irreducible representations of multiplicative groups of division algebras over local fields

David Kazhdan
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Abstract

Let $F$ be a local non-archimedian field of positive characteristic, $D$ be a skew-field with center $F$ and $ G=D^{\star}$ be the multiplicative group of $D$. The goal of this paper is to provide a canonical decomposition of any complex irreducible representation $V$ of $G$ in a direct sum of one-dimensional subspaces.

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David Kazhdan. 2019-05-07. A construction of projective bases for irreducible representations of multiplicative groups of division algebras over local fields. https://arxiv.org/abs/1905.02382

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