Examples of homotopy Lie algebras

Klaus Bering; Tom Lada

Displaying similar documents to “Examples of homotopy Lie algebras”

Defining relations for classical Lie superalgebras without Cartan matrices.

Grozman, P., Leites, D., Poletaeva, E. (2002)

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Cochain operations defining Steenrod- $⌣_{i}$ -products in the bar construction.

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A periodisation of semisimple Lie algebras.

Larsson, Anna (2002)

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About a family of naturally graded no p-filiform Lie algebras.

L. M. Camacho, J. R. Gómez, A. J. González (2005)

Extracta Mathematicae

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The knowledge of the natural graded algebras of a given class of Lie algebras offers essential information about the structure of the class. So far, the classification of naturally graded Lie algebras is only known for some families of p-filiform Lie algebras. In certain sense, if g is a naturally graded Lie algebra of dimension n, the first case of no p-filiform Lie algebras it happens when the characteristic sequence is (n-3,2,1). We present the classification of a particular family...

Homotopy and homology groups of the n-dimensional Hawaiian earring

Katsuya Eda, Kazuhiro Kawamura (2000)

Fundamenta Mathematicae

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For the n-dimensional Hawaiian earring $ℍ_{n},$ n ≥ 2, $π_{n} (ℍ_{n}, o) ≃ ℤ^{ω}$ and $π_{i} (ℍ_{n}, o)$ is trivial for each 1 ≤ i ≤ n - 1. Let CX be the cone over a space X and CX ∨ CY be the one-point union with two points of the base spaces X and Y being identified to a point. Then $H_{n} (X \lor Y) ≃ H_{n} (X) \oplus H_{n} (Y) \oplus H_{n} (C X \lor C Y)$ for n ≥ 1.