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The irreducible representations of $\GL(2,\C)$ are given by $\rho_{k,j}:=\det(St)^{\otimes k}\otimes \text{Sym}^{j}(St)$ where $St$ stands for the standard representation of $\GL(2,\C)$ and $(k,j)\in \Z\times\Z_{\geqslant 0}$. The space of Siegel modualr forms of weight $\rho_{k,j}$ on any arithmetic subsgroup $\Gamma$ of $\GSp(4,\Q)$ will be denoted by $M_{k,j}(\Gamma)$.

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  • Review status: beta
  • Last edited by Fabien Cléry on 2021-05-07 04:06:40
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