Universal $q$-differential calculus and $q$-analog of homological algebra
Dubois-Violette, Michel ; Kerner, Richard
HAL, hal-00013525 / Harvested from HAL
Text on HAL
We recall the definition of $q$-differential algebras and discuss some representative examples. In particular we construct the $q$-analog of the Hochschild coboundary. We then construct the universal $q$-differential envelope of a unital associative algebra and study its properties. The paper also contains general results on $d^N=0$.
Publié le : 1996-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00013525,
     author = {Dubois-Violette, Michel and Kerner, Richard},
     title = {Universal $q$-differential calculus and $q$-analog of homological algebra},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00013525}
}

Dubois-Violette, Michel; Kerner, Richard. Universal $q$-differential calculus and $q$-analog of homological algebra. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-00013525/