Combinatorial description of the Fock representation of the affine Lie algebra \(\text{go}(\infty)\)

DOI10.1007/BF00761421zbMath0787.05092WikidataQ115394896 ScholiaQ115394896MaRDI QIDQ1314806

C. M. Yung, Peter D. Jarvis

Publication date: 19 May 1994

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

zbMATH Keywords

symmetric functionFock representationaffine Lie algebrasquantum enveloping algebra

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Perfect crystals and \(q\)-deformed Fock spaces ⋮ Schur functions and affine Lie algebras ⋮ Basic representations of \(A_{n-1}^{(1)}\) and \(A_{2n}^{(2)}\) and the combinatorics of partitions

Uses Software

• Mathematica

Cites Work

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