Phase Spaces and Deformation Theory
نویسندگان
چکیده
In the papers [La 5,6], we introduced the notion of (non-commutative) phase algebras (space) Phn(A), n = 0, 1, ...,∞ associated to any associative algebra A (space), defined over a field k. The purpose of this paper is to prove that this construction is useful in non-commutative deformation theory for the construction of the versal family of families of modules, see [La 4]. In particular we obtain a much better understanding of the Massey products, introduced in [La 1, La 2], and used extensively in other texts.
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