Degenerate Principal Series Representations of GLn(C) and GLn(R) Academic Article uri icon

abstract

  • Let F be the field C or R. For 1≤k≤[n/2], let P k be the maximal parabolic subgroup of GL n (F) with its Levi factor isomorphic to GL n-k (F)×GL k (F). In this paper, we explicitly calculate the action of the enveloping algebra of gl n (F) on the degenerate principal series representations induced from characters of P k . We address composition series, K-types and unitarity. © 1999 Academic Press.

author list (cited authors)

  • Howe, R., & Lee, S. T.

citation count

  • 22

publication date

  • August 1999