Computing Invariants of the Weil Representation

Autor:	Nils-Peter Skoruppa, Stephan Ehlen
Rok vydání:	2017
Předmět:	Discrete mathematics Quadratic equation 010102 general mathematics Dimension (graph theory) 010103 numerical & computational mathematics Base field 0101 mathematics Representation (mathematics) 01 natural sciences Prime (order theory) Mathematics
Zdroj:	Contributions in Mathematical and Computational Sciences ISBN: 9783319697116
Popis:	We propose an algorithm for computing bases and dimensions of spaces of invariants of Weil representations of \({\mathrm {SL}}_2(\mathbb {Z})\) associated to finite quadratic modules. We prove that these spaces are defined over \(\mathbb {Z}\), and that their dimension remains stable if we replace the base field by suitable finite prime fields.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::087cafc388c6d7613966b287d33e8bda https://doi.org/10.1007/978-3-319-69712-3_5 Zobrazit plný text záznamu