Abstract
There exists a homomorphism from the affine super Yangian to the completion of the universal enveloping algebra of $\widehat{\mathfrak{gl}}(m|n)$, called the evaluation map. In this paper, we show that the image of this homomorphism is dense. Via this homomorphism, we obtain irreducible representations of the affine super Yangian.
Acknowledgments
The author wishes to express his gratitude to his supervisor Tomoyuki Arakawa for suggesting lots of advice to improve this paper. The author is also grateful for the support and encouragement of Ryosuke Kodera. I am also grateful for Oleksandr Tsymbaliuk for pointing out some mistakes. This work was supported by Iwadare Scholarship.
Citation
Mamoru Ueda. "The surjectivity of the evaluation map of the affine super Yangian." Osaka J. Math. 59 (3) 481 - 493, July 2022.
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