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arXiv · 1801.06692

Primitive ideals of ${\rm U}(\frak{sl}(\infty))$ and the Robinson-Schensted algorithm at infinity

Ivan Penkov·Alexey Petukhov
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Abstract

We present an algorithm which computes the annihilator in ${\rm U}(\frak{sl}(\infty))$ of any simple highest weight $\frak{sl}(\infty)$-module $L_\frak b(\lambda)$. This algorithm is based on an infinite version of the Robinson-Schensted algorithm.

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BibTeXRIS

Ivan Penkov, Alexey Petukhov. 2018-01-20. Primitive ideals of ${\rm U}(\frak{sl}(\infty))$ and the Robinson-Schensted algorithm at infinity. https://arxiv.org/abs/1801.06692

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