Realization of the Level One Standard ~ C 2k+1 -Modules

DOI10.2307/2001570zbMath0713.17015OpenAlexW4230866823MaRDI QIDQ3197980

Kailash C. Misra

Publication date: 1990

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001570

zbMATH Keywords

affine Lie algebraintegrable highest weightaffine symplectic Lie algebralevel one standard moduleZ-operators

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)

Related Items (12)

Extensions of the Jacobi identity for generalized vertex algebras ⋮ Level one standard modules for affine symplectic Lie algebras ⋮ Level two representations of and Rogers-Ramanujan identities ⋮ Combinatorial constructions of modules for infinite-dimensional Lie algebras. I: Principal subspace ⋮ Leading terms of relations for standard modules of the affine Lie algebras \(C_n^{(1)}\) ⋮ The 𝐴₂ Andrews–Gordon identities and cylindric partitions ⋮ Symplectic modules ⋮ ON ABELIAN COSET GENERALIZED VERTEX ALGEBRAS ⋮ Vertex operator representations of type \(C_l^{(1)}\) and product-sum identities ⋮ Level two standard \(\tilde A_ n\)-modules ⋮ Combinatorial bases of basic modules for affine Lie algebras Cn(1) ⋮ Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras

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