Derivations of convolution algebras on finite permutation semigroups

Aleandro, María J. (2023) Derivations of convolution algebras on finite permutation semigroups. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 34 (1). pp. 57-64. ISSN 1786-0091

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Abstract

If n ∈ N let Sn be the lexicographically ordered discrete semigroup of permutations of {1, . . . , n}. Our matter is to seek about the structure and behauviour of derivations of the convolution algebra l 1 (Sn). This problem has its own interest even in the finite case and emerges from studies of several kinds of amenability on Banach algebras supported on infinite discrete groups or semigroups.

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