Parabolic presentations of the super Yangian $Y(gl_{M|N})$
Yung-Ning Peng
TL;DR
This paper introduces a new way to present the super Yangian algebra associated with the general linear Lie superalgebra, based on compositions of M and N, enhancing understanding of its structure.
Contribution
It provides a novel parabolic presentation of the super Yangian $Y(gl_{M|N})$ linked to compositions of M and N, offering new insights into its algebraic structure.
Findings
New parabolic presentation of $Y(gl_{M|N})$
Connection to compositions of M and N
Potential applications in representation theory
Abstract
Associated to a composition of M and a composition of N, a new presentation of the super Yangian of the general linear Lie superalgebra is obtained.
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