A Comment on the calculation of the Lie algebra cocycle in the book Loop Groups

2013/03/23 by Dan Solomon, Solomon, Dan
Computer Science · Engineering · Social Sciences · #Data Management and Algorithms #FOS: Physical sciences #Geographic Information Systems Studies #Mathematical Physics (math-ph) #Power Systems and Technologies

paper · pdf · doi:10.48550/arxiv.1303.6272

openalex publication_date 2013/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

An expression for the Lie algebra cocycle corresponding to the central extension of the group GLres(H) is derived in the book Loop Groups [1]. It will be shown in this paper that some of the terms in this expression are ambiguous and in order to be evaluated correctly the trace operation must be properly defined.

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