An inequality among infinitesimal characters related to the lowest \(K\)-types of discrete series

DOI10.3792/PJAA.74.57zbMath0913.22012OpenAlexW2017548543MaRDI QIDQ1269356

Masato Wakayama

Publication date: 6 January 1999

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.74.57

zbMATH Keywords

real semisimple Lie groupCasimir operatorirreducible unitary representationinfinitesimal charactersDirac operator inequalitydiscrete representation series

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46) Lie algebras of Lie groups (22E60)

Cites Work

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• On the canonical \(k\)-types in the irreducible unitary \(\mathfrak g\)-modules with non-zero relative cohomology
• Correction and addition to Szegö kernels associated with discrete series
• Alternating sum formulas for multiplicities in \(L^ 2(\Gamma-G)\). II
• Dirac operator and the discrete series
• Introduction to Lie Algebras and Representation Theory

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