Fock space representations of the Lie superalgebra A(0,n)
From MaRDI portal
Publication:3890864
DOI10.1063/1.524578zbMath0446.17003OpenAlexW2091397484MaRDI QIDQ3890864
Publication date: 1980
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.524578
Lie superalgebrafinite-dimensional irreducible representationsFock space representationsinfinite-dimensional representationspecial linear superalgebra
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) Quantum field theory; related classical field theories (81T99) Superalgebras (17A70)
Related Items
Wigner approach to quantization. Noncanonical quantization of two particles interacting via a harmonic potential ⋮ Harmonic oscillators coupled by springs: Discrete solutions as a Wigner quantum system ⋮ Classification of generalized quantum statistics associated with the exceptional Lie (super)algebras ⋮ Explicit reduction of spl(1,2) to osp(1,2) as a simplified model for applications of supersymmetry to nuclear physics ⋮ Jacobson generators of the quantum superalgebra Uq[sl(n+1|m) and Fock representations] ⋮ Formal relations between classical superalgebras and fermion–boson creation and annihilation operators ⋮ Orthosymplectic Z2×Z2Z2×Z2 -graded Lie superalgebras and parastatistics ⋮ On a possible algebra morphism of \(U_ q[osp(1/2n)\) onto the deformed oscillator algebra \(W_ q(n)\)] ⋮ A classification of generalized quantum statistics associated with classical Lie algebras ⋮ Lie superalgebras ⋮ Fundamental fermions fit inside one \(\text{su}(1|5)\) irreducible representation ⋮ Highest weight irreducible representations of the Lie superalgebra gl(1|∞) ⋮ REPRESENTATIONS OF GENERALIZED Ar STATISTICS AND EIGENSTATES OF JACOBSON GENERATORS ⋮ REPRESENTATIONS AND PROPERTIES OF GENERALIZED Ar STATISTICS ⋮ Harmonic oscillator chains as Wigner quantum systems: Periodic and fixed wall boundary conditions in gl(1|n) solutions ⋮ A classification of generalized quantum statistics associated with basic classical Lie superalgebras ⋮ Infinite-dimensional representations of the graded Lie algebra (Sp(4):4). Representation of the para-Bose operators with real order of quantization
Cites Work
- Classification of some 2-graded Lie algebras
- Representation theory for symplectic 2-graded Lie algebras
- On the structure of Hopf algebras
- A classification of four-dimensional Lie superalgebras
- A Lie superalgebraic interpretation of the para-Bose statistics
- Semisimple graded Lie algebras
- On the structure of simple pseudo Lie algebras and their invariant bilinear forms
- Classification of all simple graded Lie algebras whose Lie algebra is reductive. I
- Graded Lie algebras: Generalization of Hermitian representations
- Simple supersymmetries
- Classification and construction of finite dimensional irreducible representations of the graded algebras; application to the (Sp(2n); 2n) algebra
- A Generalized Method of Field Quantization
- A generalization of field quantization and statistics
- Lie superalgebras