VALUED DEFORMATIONS OF ALGEBRAS
نویسندگان
چکیده
منابع مشابه
Valued deformations of algebras
We develop the notion of deformations using a valuation ring as ring of coefficients. This permits to consider in particular the classical Gerstenhaber deformations of associative or Lie algebras as infinitesimal deformations and to solve the equation of deformations in a polynomial frame. We consider also the deformations of the enveloping algebra of a rigid Lie algebra and we define valued de...
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In this paper we compute the deformation theory of a special class of algebras, namely of Azumaya algebras on a manifold (C or complex analytic). Deformation theory of associative algebras was initiated by Gerstenhaber in [G]. A deformation of an associative algebra A over an Artinian ring a is an a-linear associative algebra structure on A⊗ a such that, for the maximal ideal m of a, A ⊗ m is a...
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2004
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498804000915