TY - JOUR
AU - Zhao, Tiwei
AB - Let A be a tame Hecke algebra of type A. Based on the minimal projective bimodule resolution 
$${(\mathbb{P} , \delta)}$$
 of A constructed by Schroll and Snashall, we first give an explicit description of the so-called “comultiplicative structure” of the generators of each term P

n
 in 
$${(\mathbb{P} , \delta)}$$
 , and then apply it to define a chain map 
$${\Delta: \mathbb{P} \rightarrow \mathbb{P} \otimes_A \mathbb{P}}$$
 and thus show that the cup product in the level of cochains for the tame Hecke algebra A is essentially juxtaposition of parallel paths up to sign. As a consequence, we determine the structure of the Hochschild cohomology ring of A under the cup product by giving an explicit presentation by generators and relations.
TI - Hochschild cohomology rings of tame Hecke algebras
JF - Manuscripta Mathematica
DO - 10.1007/s00229-013-0613-2
DA - 2013-03-19
UR - https://www.deepdyve.com/lp/springer-journals/hochschild-cohomology-rings-of-tame-hecke-algebras-UO3VnJw5M0
SP - 491
EP - 512
VL - 142
IS - 4
DP - DeepDyve
ER -