New shuffle algebra presentations of the top and bottom halves of U_{q,q}(gl_n) yield a topological coproduct extending the Drinfeld-Jimbo coproduct on the horizontal subalgebra.
The PBW basis of $U_{q,\bar{q}}(\ddot{\mathfrak{gl}}_n)$
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We consider the PBW basis of the type A quantum toroidal algebra developed by the author, and prove commutation relations between its generators akin to the ones studied by Burban-Schiffmann for n=1. This gives rise to a new presentation of the quantum toroidal algebra of type A.
fields
math.QA 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
A tale of two shuffle algebras
New shuffle algebra presentations of the top and bottom halves of U_{q,q}(gl_n) yield a topological coproduct extending the Drinfeld-Jimbo coproduct on the horizontal subalgebra.