Between \(\widehat {\mathfrak {gl}} (\infty)\) and \(\widehat {\mathfrak {sl}}_ N\) affine algebras. I: Geometrical actions

DOI10.1007/BF01017324zbMath0857.17022MaRDI QIDQ1920474

Yanyan Li

Publication date: 16 March 1997

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

automorphismsaffine Lie algebracentral extensioncoadjoint orbit methodquantum tori Lie algebrasKirillov-Kostant formgeometrical action

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Cites Work

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• Dynamical systems on quantum tori Lie algebras
• \(W_ \infty\) gravity -- a geometric approach
• \(gl(\infty{})\) and geometric quantization
• STRING FIELD ACTIONS FROM W_∞
• THE METHOD OF COADJOINT ORBITS: AN ALGORITHM FOR THE CONSTRUCTION OF INVARIANT ACTIONS
• Vertex representations of quantum affine algebras
• POSSIBLE IMPLICATIONS OF INTEGRABLE SYSTEMS FOR STRING THEORY

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