@article{oai:soar-ir.repo.nii.ac.jp:00015853,
author = {Sasaki, Hiroki},
issue = {4},
journal = {ALGEBRAS AND REPRESENTATION THEORY},
month = {Aug},
note = {Let k be an algebraically closed field of characteristic p. We shall discuss the cohomology algebras of a block ideal B of the group algebra kG of a finite group G and a block ideal C of the block ideal of kH of a subgroup H of G which are in Brauer correspondence and have a common defect group, continuing (Kawai and Sasaki, Algebr Represent Theory 9(5):497-511, 2006). We shall define a (B,C)-bimodule L. The k-dual L (*) induces the transfer map between the Hochschild cohomology algebras of B and C, which restricts to the inclusion map of the cohomology algebras of B into that of C under some condition. Moreover the module L induces a kind of refinement of Green correspondence between indecomposable modules lying in the blocks B and C; the block varieties of modules lying in B and C which are in Green correspondence will also be discussed., Article, ALGEBRAS AND REPRESENTATION THEORY. 13(4):445-465 (2010)},
pages = {445--465},
title = {Cohomology Algebras of Blocks of Finite Groups and Brauer Correspondence II},
volume = {13},
year = {2010}
}