On Classical groups detected by the triple tensor product and the Littlewood–Richardson semigroup


Journal Article

© 2016, The Author(s). Langlands’ beyond endoscopy proposal for establishing functoriality motivates the study of irreducible subgroups of GL n that stabilize a line in a given repesentation of GL n. Such subgroups are said to be detected by the representation. In this paper we continue our study of the important special case where the representation of GL n is the triple tensor product representation ⊗ 3. We prove a family of results describing when subgroups isomorphic to classical groups of type Bn, Cn, D2n are detected.

Full Text

Duke Authors

Cited Authors

  • Hahn, H

Published Date

  • December 1, 2016

Published In

Volume / Issue

  • 2 / 1

Electronic International Standard Serial Number (EISSN)

  • 2363-9555

Digital Object Identifier (DOI)

  • 10.1007/s40993-016-0049-3

Citation Source

  • Scopus