Supported by National Natural Science Foundation of China(Grant No.11771069);Natural Science Foundation of Heilongjiang Province(Grant No.LH2020A020)。
In this paper,we compute the derivations of the positive part of the two-parameter quantum group of type G_(2) by embedding it into a quantum torus.We also show that the first Hochschild cohomology group of this algeb...
In this note,we use the pairing induced by the interchange map in conjunction with the strongly homotopy commutative algebra structure to define products on the Eilenberg-Moore differential Tor and give a simplified p...
supported by Specialized Research Fund for the Doctoral Program of Highter Education(Grant No.20130031110005);supported by NSFC(Grant No.11271131)
We compute the derivations of the positive part of the two-parameter quantum group Ur,s(B3) and show that the Hochschild cohomology group of degree 1 of this algebra is a three- dimensional vector space over the bas...
We study structures of endomorphisms and introduce a skew Hochschild 2-cocycles related to Hochschild 2-cocycle. We moreover define skew Hochschild extensions equipped with skew Hochschild 2-cocycles, and then we exam...