Article ID Journal Published Year Pages File Type
8897445 Journal of Pure and Applied Algebra 2018 36 Pages PDF
Abstract
The existence of the ı-canonical basis (also known as the ı-divided powers) for the coideal subalgebra of the quantum sl2 were established by Bao and Wang, with conjectural explicit formulae. In this paper we prove the conjectured formulae of these ı-divided powers. This is achieved by first establishing closed formulae of the ı-divided powers in basis for quantum sl2 and then formulae for the ı-canonical basis in terms of Lusztig's divided powers in each finite-dimensional simple module of quantum sl2. These formulae exhibit integrality and positivity properties.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, ,