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arXiv · 1711.05080

Homology of the Lie algebra $\mathfrak{gl}(\infty,R)$

A. Fialowski·K. Iohara
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Abstract

In this note we compute the homology of the Lie algebra $\mathfrak{gl}(\infty,R)$ where $R$ is an associative unital $k$-algebra which is used in higher dimensional soliton theory. When $k$ is a field of characteristic $0$, our result justifies an old result of Feigin and Tsygan appeared in 1983. The special case when $R=k$ is the complex number field $\mathbb{C}$ appeared first in soliton theory.

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BibTeXRIS

A. Fialowski, K. Iohara. 2017-11-14. Homology of the Lie algebra $\mathfrak{gl}(\infty,R)$. https://arxiv.org/abs/1711.05080

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