The hochschild cohomology ring of a cyclic block Academic Article

abstract

• Suppose B is a block of a group algebra kG with cyclic defect group. We calculate the Hochschild cohomology ring of B, giving a complete set of generators and relations. We then show that if D is the principal block, the canonical map from H*(G, k) to the Hochschild cohomology ring of B induces an isomorphism modulo radicals. 2000 American Mathematical Society.

authors

• Witherspoon, Sarah

published proceedings

• Proceedings of the American Mathematical Society

author list (cited authors)

• Siegel, S. F., & Witherspoon, S. J.

complete list of authors

• Siegel, SF||Witherspoon, SJ

publication date

• December 2000

published in

• Proceedings of the American Mathematical Society  Journal

start page

• 1263

end page

• 1268

volume

• 128

issue

• 5