Lie superalgebras

DOI10.1007/BF02249121zbMath0567.17003OpenAlexW4211028366MaRDI QIDQ5902763

Dimitry Leites

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02249121

zbMATH Keywords

surveybibliographyrepresentationsstring theoriesclassical Lie superalgebrasexceptional Lie superalgebras(formal) vector fieldscharacters of irreducible modulesKac superalgebrasKac-Moody superalgebrasmatrix Lie superalgebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02)

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Cites Work

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• Infinite dimensional Lie algebras. An introduction
• Solutions of the classical Yang-Baxter equation for simple superalgebras
• The centre of enveloping algebra for Lie superalgebra Q(n,\({\mathbb{C}})\)
• Irreducible representations of Poisson-Lie superalgebras, and invariant differential operators
• Classification of real simple Lie superalgebras and symmetric superspaces
• Isotopic types of nonsingular surfaces of fourth degree in \(\mathbb{R} P^3\)
• An elucidation of Infinite-dimensional algebras\dots and the very strange formula. \(E^{(1)}_8\) and the cube root of the modular invariant j
• Superalgebras
• Casimir operators of the simplest supersymmetry superalgebras
• The group with Grassmann structure UOSP(1.2)
• Kazhdan-Lusztig conjecture and holonomic systems
• A remarkable connection between the representations of the Lie superalgebras osp(1,2n) and the Lie algebras o(2n+1)
• Structure of some categories of representations of infinite-dimensional Lie algebras
• Basic representations of affine Lie algebras and dual resonance models
• Irreducible representations of Lie superalgebras of vector fields and invariant differential operators
• Description of extraordinary representations of the group \(PGL(2,Q_2)\)
• A sketch of Lie superalgebra theory
• Conservation laws for the equation \(u_{tt}-u_{xx}+\sin u=0\)
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• The theory of Lie superalgebras. An introduction
• Irreducible representations of SU(m/n)
• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
• Representations of supergroups
• Kac–Dynkin diagrams and supertableaux
• Boson–fermion representations of Lie superalgebras: The example of osp(1,2)
• Sequences of Z2⊗Z2 graded Lie algebras and superalgebras
• On simplicity of certain infinite dimensional Lie algebras
• Classification of real simple Lie superalgebras of classical type
• The tensor product of two irreducible representations of the spl(2,1) superalgebra
• Fock space representations of the Lie superalgebra A(0,n)
• The representations of spl(2,1)—an example of representations of basic superalgebras
• Spinor representations of affine Lie algebras
• Representations of Osp(2, 1) and the metaplectic representation
• Canonical realizations of Lie superalgebras: Ladder representations of the Lie superalgebra A(m,n)
• Dimension and character formulas for Lie supergroups
• Branching rules for the supergroup SU(N/M) from those of SU(N+M)
• Irreducible representations of the superalgebras type II
• Congruence classes of finite representations of simple Lie superalgebra
• IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
• Classification of simple z-graded lie superalgebras and simple jordan superalgebras
• Elementary construction of graded Lie groups
• The graded Lie groups SU(2,2/1) and OSp(1/4)
• Derivations and Automorphisms of Exterior Algebras
• Classification of the irreducible representations of 𝔰𝔩(2,ℭ)
• Hook young diagrams, combinatorics and representations of Lie superalgebras
• Representations of Lie superalgebras
• Lie superalgebras