Quantum shuffles and quantum supergroups of basic type
Quantum shuffles and quantum supergroups of basic type
We initiate the study of several distinguished bases for the positive half of a quantum supergroup U_q associated to a general super Cartan datum (\mathrm{I}, (\cdot,\cdot)) of basic type inside a quantum shuffle superalgebra. The combinatorics of words for an arbitrary total ordering on \mathrm{I} is developed in connection with …