A minimal even type of the 2-adic Weil representation

Aaron Wood

A minimal even type of the 2-adic Weil representation

Representation Theory 2013-10-31 v3

Authors: Aaron Wood

Abstract

The Weil representation is used to construct a minimal type of the two-fold central extension of $\operatorname{Sp}_{2n}(\mathbb{Q}_2)$ . The corresponding Hecke algebra is shown to be isomorphic to the classical affine Hecke algebra of the split adjoint orthogonal group $\operatorname{SO}_{2n+1}(\mathbb{Q}_2)$ .

Keywords

weyl group representations hecke algebra lie algebra

Cite

@article{arxiv.1209.1429,
  title  = {A minimal even type of the 2-adic Weil representation},
  author = {Aaron Wood},
  journal= {arXiv preprint arXiv:1209.1429},
  year   = {2013}
}

Comments

updated to include transfer of Plancherel measures

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