GKLO representations for shifted quantum affine symmetric pairs
Jian-Rong Li, Tomasz Przezdziecki
TL;DR
This paper introduces shifted quantum affine symmetric pairs of split simply-laced type and constructs their GKLO representations, providing a full proof of the representation formulas.
Contribution
It extends the theory of GKLO representations to shifted quantum affine symmetric pairs of split simply-laced type, a new class in quantum algebra.
Findings
Constructed GKLO representations for shifted quantum affine symmetric pairs.
Provided a complete proof that the formulas define valid representations.
Extended the framework of shifted twisted Yangians to new algebraic structures.
Abstract
In this note, we introduce shifted quantum affine symmetric pairs of split simply-laced type, and construct their GKLO representations, following similar recent developments in the case of shifted twisted Yangians. A full proof that our formulas yield a representation is given.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Advanced Combinatorial Mathematics