Presenting affine Schur Algebras
Qiang Fu, Mingqiang Liu

TL;DR
This paper studies the structure of affine Schur algebras, providing explicit multiplication formulas and a presentation, building on their connection to the universal enveloping algebra of affine gl_n.
Contribution
It offers a new presentation of affine Schur algebras and utilizes explicit multiplication formulas to analyze their structure.
Findings
Derived explicit multiplication formulas for affine Schur algebras
Provided a presentation of affine Schur algebra ${ m extbf{S}}_{ riangle}(n,r)_{f Q}$
Enhanced understanding of the algebraic structure of affine Schur algebras
Abstract
The universal enveloping algebra of was realized in \cite[Ch. 6]{DDF} using affine Schur algebras. In particular some explicit multiplication formulas in affine Schur algebras were derived. We use these formulas to study the structure of affine Schur algebras. In particular, we give a presentation of the affine Schur algebra .
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons
