量子外代数的Z2-Galois覆盖的Hochschild上同调环

Hochschild cohomology ring of Z2-Galois coverings of quantum exterlor algebras

设Λq是特征不为2的域k上的二元量子外代数的Z2-Galois覆盖.Λq的Hochschlid上同调环的乘法结构被用平行路的语言加以刻画,从而确定其上同调环.

Let Λq be the Z2-Galois coverings of quantum exterior algebras in two variables ovc field k with chark≠2.The multiplication of Hochschild cohomology ring of Λq was described by parallel path.As a consequence,the structure of Hodaschild cohomology ring of Λq was determined.