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The Lie algebra structure on the first Hochschild cohomology group of a monomial algebra
Strametz, C.
HAL, hal-00122000 / Harvested from HAL
Text on HAL
We study the Lie algebra structure of the first Hochschild cohomology group of a finite dimensional monomial algebra A, in terms of the combinatorics of its quiver, in any characteristic. This allows us also to examine the identity component of the algebraic group of outer automorphisms of A in characteristic zero. Criteria for the (semi-)simplicity, the solvability, the reductivity, the commutativity and the nilpotency are given.
Publié le : 2002-07-05
Classification:  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT],  [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA] 
@article{hal-00122000,
     author = {Strametz, C.},
     title = {The Lie algebra structure on the first Hochschild cohomology group of a monomial algebra},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00122000}
}

Strametz, C. The Lie algebra structure on the first Hochschild cohomology group of a monomial algebra. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00122000/