Lee, Soo Teck On some degenerate principal series representations of \(U(n,n)\). (English) Zbl 0829.22026 J. Funct. Anal. 126, No. 2, 305-366 (1994). Ideas due to Bargmann and to Howe and Tan on the decomposition of the representation space for \(\text{SL} (2,R)\) into a sum of eigenspace its compact subgroup are applied to the study of a family of degenerate principal series representations of the group \(U(n,n)\). Reviewer: Yu.N.Mukhin (Ekaterinburg) Cited in 2 ReviewsCited in 21 Documents MSC: 22E46 Semisimple Lie groups and their representations 22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods Keywords:decomposition of the representation space; \(\text{SL} (2,R)\); compact subgroup; degenerate principal series representations; \(U(n,n)\) PDFBibTeX XMLCite \textit{S. T. Lee}, J. Funct. Anal. 126, No. 2, 305--366 (1994; Zbl 0829.22026) Full Text: DOI