Relation between the supertableaux of the supergroups OSP(2‖2) and SU(1‖2)

DOI10.1063/1.527353zbMath0596.22011OpenAlexW2057582050MaRDI QIDQ3728264

Michel Gourdin

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527353

zbMATH Keywords

Lie superalgebrairreducible representationssupergroupsatypical representationssupertableauxOSp(2\(| 2)\)SU(1\(| 2)\)

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Superalgebras (17A70) Graded Lie (super)algebras (17B70) Lie groups (22E99)

Related Items (5)

Superunitary reduction of the orthosymplectic supertableaux ⋮ Coherent states for the harmonic oscillator representations of the orthosymplectic supergroup Osp(1/2N,R) ⋮ The generalized atypical supertableaux of the orthosymplectic groups OSP(2‖2p) ⋮ Unnamed Item ⋮ Quantum superalgebra \(U_q\mathrm{osp}(2,2)\)

Cites Work

• Representations of orthosymplectic superalgebras. II. Young diagrams and weight space techniques
• Mixed supertableaux of the superunitary groups. II. SU(n‖m)
• Dimension and character formulas for Lie supergroups
• Lie superalgebras

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