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DERIVED INVARIANCE OF THE TAMARKIN-TSYGAN CALCULUS OF AN ASSOCIATIVE ALGEBRA | |
Marco Antonio Armenta Armenta | |
Acceso Abierto | |
Atribución-NoComercial | |
this thesis we prove that the Tamarkin-Tsygan calculus of a finite dimensional associative algebra over a field k is a derived invariant. In other words, the main result of this work goes as follows: a derived equivalence between two finite dimensional associative algebras over a field k induces an isomorphism between Hochschild homology and Hochschild cohomology that respects simultaneously the cup product, the cap product, the Gerstenhaber bracket and the Connes differential, see Theorem 5.2.15 | |
10-09-2019 | |
Tesis de doctorado | |
OTRAS | |
Versión aceptada | |
acceptedVersion - Versión aceptada | |
Aparece en las colecciones: | Tesis del CIMAT |
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Fichero | Descripción | Tamaño | Formato | |
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TE 724.pdf | 831.54 kB | Adobe PDF | Visualizar/Abrir |