The Schur function realization of vertex operators

DOI10.1007/BF00398808zbMath0774.17031MaRDI QIDQ1202941

C. M. Yung, Peter D. Jarvis

Publication date: 20 April 1993

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

zbMATH Keywords

Schur functionsrealization of untwisted vertex operators

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Applications of Lie groups to the sciences; explicit representations (22E70) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (6)

THE DIRICHLET HOPF ALGEBRA OF ARITHMETICS ⋮ Coupled KP and BKP hierarchies and the corresponding symmetric functions ⋮ Two types of universal characters and the integrable hierarchies ⋮ Symmetric functions, tableaux decompositions and the fermion-boson correspondence ⋮ Hirota polynomials for the KP and BKP hierarchies ⋮ Combinatorial description of the Fock representation of the affine Lie algebra \(\text{go}(\infty)\)

Cites Work

• Vertex operators, symmetric functions, and the spin group \(\Gamma_ n\)
• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• Infinite conformal symmetry in two-dimensional quantum field theory
• Affine root systems and Dedekind's \(\eta\)-function
• Vertex representations of quantum affine algebras
• Branching rules for classical Lie groups using tensor and spinor methods
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