Generalized Quantum Current Algebras
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Publication:3536586
DOI10.1088/0253-6102/35/3/301zbMATH Open1164.81330arXivmath/9804080OpenAlexW2259505759MaRDI QIDQ3536586
Publication date: 21 November 2008
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Abstract: Two general families of new quantum deformed current algebras are proposed and identified both as infinite Hopf family of algebras, a structure which enable one to define ``tensor products of these algebras. The standard quantum affine algebras turn out to be a very special case of both algebra families, in which case the infinite Hopf family structure degenerates into standard Hopf algebras. The relationship between the two algebra families as well as their various special examples are discussed, and the free boson representation is also considered.
Full work available at URL: https://arxiv.org/abs/math/9804080
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)
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