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On Hopf algebraic structures of quantum ...
Jing, Naihuan...

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On Hopf algebraic structures of quantum toroidal algebras by Jing, Naihuan ( Author )
Lemonjar Open Access
N.A
19-04-2016
We define an algebra U0 using a simplified set of generators for the quantum toroidal algebra Uq(sln+1,tor) and show that there exists an epimorphism from U0 to Uq(sln+1,tor). We derive a closed formula of the comultiplication on the generators of U0 that extends that of the quantum affine algebra Uq(sl^n+1). As a consequence, we show that U0 is a Hopf algebra for n=1,2 and give conjectural formulas in the general case. We further show that U0 is isomorphic to a double algebra.
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English
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MYR 0.01
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https://arxiv.org/abs/1604.05416
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