THE HEISENBERG FAMILY FOR THE PRINCIPAL GRADING OF $U_q(\hat{\cal G})$

DOI10.1142/S0217979209053424zbMath1184.81085OpenAlexW1739437077MaRDI QIDQ3405873

Alexander Zuevsky

Publication date: 12 February 2010

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979209053424

zbMATH Keywords

quantum groupsHeisenberg subalgebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) 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

• Unnamed Item
• Quantum principal commutative subalgebra in the nilpotent part of \(U_ q{\widehat {sl}}_ 2\) and lattice KdV variables
• Vertex representations of quantum affine algebras

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