The basic representation of the extended affine Lie algebra of type \(A_ 1^{(1)}\) and the BKP hierarchy

DOI10.1007/BF00400710zbMath0584.17009OpenAlexW1980494622WikidataQ115395045 ScholiaQ115395045MaRDI QIDQ1070326

Hiro-Fumi Yamada

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf00400710

zbMATH Keywords

Kac-Moody Lie algebrasbasic representationextended affine Lie algebra of type \(A_ 1^{(1)}\)hierarchy of Kadomtsev-Petviashvili equationKadomtsev-Petviashvili hierarchy of B type

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) KdV equations (Korteweg-de Vries equations) (35Q53) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Cites Work

• Unnamed Item
• Solitons and infinite dimensional Lie algebras
• Irreducible decompositions of Fock representations of the Virasoro algebra
• Infinite dimensional Lie algebras. An introduction
• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• Construction of the affine Lie algebra \(A^{(1)}_1\)

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