We study homological properties of a family of algebras called toupie algebras. Our main objective is to obtain the Gerstenhaber structure of their Hochschild cohomology, with the purpose of describing the Lie algebra structure of the first Hochschild cohomology space, together with the Lie module structure of the whole Hochschild cohomology.
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Univ Republica, Inst Math & Stat Rafael Laguardia, Fac Engn, Ave Julio Herrera & Reissig 565, Montevideo, UruguayUniv Republica, Inst Math & Stat Rafael Laguardia, Fac Engn, Ave Julio Herrera & Reissig 565, Montevideo, Uruguay
Artenstein, Dalia
Letz, Janina C.
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Bielefeld Univ, Fac Math, POB 100 131, D-33501 Bielefeld, Germany
UCLA, Dept Math, POB 951555, Los Angeles, CA 90095 USAUniv Republica, Inst Math & Stat Rafael Laguardia, Fac Engn, Ave Julio Herrera & Reissig 565, Montevideo, Uruguay
Letz, Janina C.
Oswald, Amrei
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Univ Washington, Dept Math, Seattle, WA 98195 USAUniv Republica, Inst Math & Stat Rafael Laguardia, Fac Engn, Ave Julio Herrera & Reissig 565, Montevideo, Uruguay