Hochschild cohomology algebra of radical square zero algebras
CIBILS, Claude
HAL, hal-01493750 / Harvested from HAL
Text on HAL
We compute the dimension at each degree of the Hochschild cohomology of a radical square zero finite dimensional algebra, in terms of the combinatorics of its quiver. The multiplicative structure is obtained as well, those algebras are finitely generated only for quivers without oriented cycles and for crowns.
Publié le : 1996-08-04
Classification:  cup,  product,  multiplicative,  cohomology,  Hocschild,  [MATH.MATH-KT]Mathematics [math]/K-Theory and Homology [math.KT],  [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA] 
@article{hal-01493750,
     author = {CIBILS, Claude},
     title = {Hochschild cohomology algebra of radical square zero algebras},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01493750}
}

CIBILS, Claude. Hochschild cohomology algebra of radical square zero algebras. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-01493750/