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Radicals of symmetric cellular algebras

100%

Li Y.

Colloquium Mathematicum

2013

tom 133

nr 1

67-83

For a symmetric cellular algebra, we study properties of the dual basis of a cellular basis first. Then a nilpotent ideal is constructed. The ideal connects the radicals of cell modules with the radical of the algebra. It also yields some information on the dimensions of simple modules. As a by-product, we obtain some equivalent conditions for a finite-dimensional symmetric cellular algebra to be semisimple.

Lie derivations of dual extensions of algebras

63%

Li Y., Wei F.

Colloquium Mathematicum

2015

tom 141

nr 1

65-82

Let K be a field and Γ a finite quiver without oriented cycles. Let Λ := K(Γ,ρ) be the quotient algebra of the path algebra KΓ by the ideal generated by ρ, and let 𝒟(Λ) be the dual extension of Λ. We prove that each Lie derivation of 𝒟(Λ) is of the standard form.

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2 Colloquium Mathematicum

2 Li Y.

1 Wei F.

1 2015

1 2013

Wyniki wyszukiwania

Radicals of symmetric cellular algebras

Lie derivations of dual extensions of algebras