A note on a module in tensor space for the symplectic group
The purpose of the paper under review is to describe a module of the symplectic group over an arbitrary infinite field which is the analogue of the Carter-Lusztig module of the general linear group [cf. \textit{R. W. Carter} and \textit{G. Lusztig}, Math. Z. 136, 193-242 (1974; Zbl 0298.20009)]. To accomplish this, the author uses contraction mappings on tensor space which were first introduced by \textit{H. Weyl} [The Classical Groups (1939; Zbl 0020.20601)].
scientific article; zbMATH DE number 3993857