منابع مشابه
Massey Products and Deformations
It is common knowledge that the construction of one-parameter deformations of various algebraic structures, like associative algebras or Lie algebras, involves certain conditions on cohomology classes, and that these conditions are usually expressed in terms of Massey products, or rather Massey powers. The cohomology classes considered are those of certain differential graded Lie algebras (DGLA...
متن کاملDeformations of Lie Brackets: Cohomological Aspects
We introduce a new cohomology for Lie algebroids, and prove that it provides a differential graded Lie algebra which “controls” deformations of the structure bracket of the algebroid.
متن کاملMassey Product and Its Applications
This is the note for my talk in Graduate Student Seminar NEU. W. Massey defined Massey product as a higher order cohomology operation, which is a generalization of cup product. A first application of Massey product is in Knot theory showing that Borromean rings are linked with zero linking numbers. As another application, people can use Massey product describe the differentials in spectral sequ...
متن کاملMassey Products and Critical Points
In this paper we use cup-products and higher Massey products to find topological lower bounds on the minimal number of geometrically distinct critical points of any closed 1-form in a given cohomology class.
متن کاملGeneralised Berlekamp-Massey algorithm
The BerlekampMassey algorithm is revisited and proven again by using the matrix representation. This approach makes the derivation and proof of the algorithm straightforward, simple and easily understood. It further enables the presentation of a generalised Berlekamp Massey algorithm, including the conventional algorithm and the inversion-free algorithm as two special cases. -,
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2001
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(99)00159-0