Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672926 | Indagationes Mathematicae | 2014 | 13 Pages |
Abstract
We establish a relationship between two different generalizations of Lie algebroid representations: representation up to homotopy and Vaĭntrob’s Lie algebroid modules. Specifically, we show that there is a noncanonical way to obtain a representation up to homotopy from a given Lie algebroid module, and that any two representations up to homotopy obtained in this way are equivalent in a natural sense. We therefore obtain a one-to-one correspondence, up to equivalence.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Rajan Amit Mehta,