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arXiv · 1508.01479

The Peterson Variety and the Wonderful Compactification

Ana Balibanu
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Abstract

We look at the centralizer in a semisimple algebraic group $G$ of a regular nilpotent element, and show that its closure in the wonderful compactification is isomorphic to the Peterson variety. It follows that the closure in the wonderful compactification of the centralizer $G^x$ of any regular element $x$ is isomorphic to the closure of a general $G^x$-orbit in the flag variety. We also give a description of the $G^e$-orbit structure of the Peterson variety.

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BibTeXRIS

Ana Balibanu. 2015-08-06. The Peterson Variety and the Wonderful Compactification. https://arxiv.org/abs/1508.01479

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