Mixed supertableaux of the superunitary groups. I. SU(n‖1)

DOI10.1063/1.526342zbMath0574.22015OpenAlexW1997838218MaRDI QIDQ3693741

Michel Gourdin, Francois Delduc

Publication date: 1984

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

Full work available at URL: http://cds.cern.ch/record/145668

zbMATH Keywords

tensorial representationgraded superunitary groupsMixed supertableaux

Mathematics Subject Classification ID

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

Related Items (9)

Integrable graded magnets ⋮ On the composition factors of Kac modules for the Lie superalgebras sl(m/n) ⋮ Superunitary reduction of the orthosymplectic supertableaux ⋮ Branching rules for a class of typical and atypical representations of gl(m‖n) ⋮ Character formulas for irreducible modules of the Lie superalgebras sl(m/n) ⋮ Finite-dimensional representations of the Lie superalgebra sl(1,3) in a Gel’fand–Zetlin basis. II. Nontypical representations ⋮ The generalized atypical supertableaux of the orthosymplectic groups OSP(2‖2p) ⋮ Unnamed Item ⋮ Mixed supertableaux of the superunitary groups. II. SU(n‖m)

Cites Work

• Irreducible representations of SU(m/n)
• Kac–Dynkin diagrams and supertableaux
• The representations of spl(2,1)—an example of representations of basic superalgebras
• Branching rules for the supergroup SU(N/M) from those of SU(N+M)
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• Anomalies and eigenvalues of Casimir operators for Lie groups and supergroups
• Lie superalgebras

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