Homology Of The Lie Algebra Gl(Infinity, R)

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE（2021）

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摘要

In this note we compute the homology of the Lie algebra gl(infinity, R) where R is an associative unital k-algebra which is used in higher dimensional soliton theory [19]. When k is a field of characteristic 0, our result justifies an old result of Feigin and Tsygan [5]. The special case when R = k = C appeared first in soliton theory (cf. [9]).

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