On the structure of simple pseudo Lie algebras and their invariant bilinear forms

DOI10.1063/1.522999zbMath0335.17013OpenAlexW1968105128MaRDI QIDQ4102022

Werner Nahm, Manfred Scheunert

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1063/1.522999

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99) Nonassociative algebras satisfying other identities (17A30) Other nonassociative rings and algebras (17D99)

Related Items (21)

Spinors and diffeomorphisms ⋮ Relations between the Casimir operators of sl(1|2) and osp(2|2) superalgebras ⋮ Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n) ⋮ Classification of star and grade-star representations of C(n+1) ⋮ Classification of all star and grade star irreps of gl(n‖1) ⋮ On Schrödinger superalgebras ⋮ Unnamed Item ⋮ Oscillator realization of the strange superalgebras P(n) and Q(n) ⋮ Boson–fermion representations of Lie superalgebras: The example of osp(1,2) ⋮ The supergroups of supersymmetry and supergravity as ordinary real Lie groups ⋮ Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n) ⋮ Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n) ⋮ Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras ⋮ A classification of four-dimensional Lie superalgebras ⋮ Elementary construction of graded Lie groups ⋮ CONSIDERATIONS ON SUPER POINCARÉ ALGEBRAS AND THEIR EXTENSIONS TO SIMPLE SUPERALGEBRAS ⋮ Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras ⋮ Fock space representations of the Lie superalgebra A(0,n) ⋮ The generalized atypical supertableaux of the orthosymplectic groups OSP(2‖2p) ⋮ Integration on Lie supergroups: a Hopf superalgebra approach ⋮ A classification of open string models

Cites Work

• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)

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