@inbook{4d38522c7ff048309faa60b54a182f3f,

title = "A conditional construction of artin representations for real analytic siegel cusp forms of weight (2, 1)",

abstract = "Let F be a vector-valued real analytic Siegel cusp eigenform of weight (2, 1) with the eigenvalues −5/12 and 0 for the two generators of the center of the algebra consisting of all Sp4 (R)-invariant differential operators on the Siegel upper half plane of degree 2. Under natural assumptions in analogy of holomorphic Siegel cusp forms, we construct a unique symplectically odd Artin representation ρF: GQ − GSp4 (C) associated to F. For this, we develop the arithmetic theory of vector-valued real analytic Siegel modular forms. Several examples which satisfy these assumptions are given by using various transfers and automorphic induction.",

keywords = "Artin representation, Siegel modular forms",

author = "Kim, {Henry H.} and Takuya Yamauchi",

note = "Publisher Copyright: {\textcopyright} 2016 American Mathematical Society.",

year = "2016",

doi = "10.1090/conm/664/13061",

language = "English",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "225--260",

booktitle = "Contemporary Mathematics",

address = "United States",

}