Multiplet classification of the reducible elementary representations of real semisimple Lie groups: The \(SO_ e(p,q)\) example

DOI10.1007/BF00402831zbMath0569.22017WikidataQ115395038 ScholiaQ115395038MaRDI QIDQ1061251

Vladimir K. Dobrev

Publication date: 1985

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

composition factorsreal semisimple Lie groupsgeneralized principal series representations\(SO_ e(p,q)\)multiplet classification

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items

Invariant differential operators for non-compact Lie algebras parabolically related to conformal Lie algebras, Structural analysis and elementary representations of SL(4, R) and GL(4, R) and their covering groups, Lowest weight representations of the Schrödinger algebra and generalized heat/Schrödinger equations, q-difference intertwining operators for a Lorentz quantum algebra, Representation theory approach to the polynomial solutions of q-difference equations: Uq(sl(3)) and beyond, Canonical construction of differential operators intertwining representations of real semisimple Lie groups, INVARIANT DIFFERENTIAL OPERATORS FOR NON-COMPACT LIE GROUPS: PARABOLIC SUBALGEBRAS, NONRELATIVISTIC HOLOGRAPHY — A GROUP-THEORETICAL PERSPECTIVE, A Weyl group for the Virasoro and \(N=1\) super-Virasoro algebras, Special Reduced Multiplets and Minimal Representations for SO(p,q)

Cites Work

• On the group-theoretical approach to extended conformal supersymmetry: classification of multiplets
• Reducibility of generalized principal series representations
• Irreducible characters of semisimple Lie groups. I
• The six-point families of exceptional representations of the conformal group
• Structure of representations generated by vectors of highest weight
• Intertwining operators for semisimple groups
• Composition factors of the principal series representations of the group 𝑆𝑝(𝑛,1)
• Classification of irreducible tempered representations of semisimple Lie groups
• Highest Weight Modules Over Graded Lie Algebras: Resolutions, Filtrations and Character Formulas