Resolutions for twisted tensor products Academic Article

abstract

• 2019 Mathematical Sciences Publishers. We build resolutions for general twisted tensor products of algebras. These bimodule and module resolutions unify many constructions in the literature and are suitable for computing Hochschild (co)homology and more generally Ext and Tor for (bi)modules. We analyze in detail the case of Ore extensions, consequently obtaining Chevalley-Eilenberg resolutions for universal enveloping algebras of Lie algebras (defining the cohomology of Lie groups and Lie algebras). Other examples include semidirect products, crossed products,Weyl algebras, Sridharan enveloping algebras, and Koszul pairs.

authors

• Witherspoon, Sarah

published proceedings

• Pacific Journal of Mathematics

altmetric score

• 0.25

author list (cited authors)

• Shepler, A., & Witherspoon, S.

citation count

• 6

complete list of authors

• Shepler, Anne||Witherspoon, Sarah

publication date

• January 2019

publisher

• Mathematical Sciences Publishers  Publisher

published in

• PACIFIC JOURNAL OF MATHEMATICS  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.2140/pjm.2019.298.445

start page

• 445

end page

• 469

volume

• 298

issue

• 2

URL

• http://dx.doi.org/10.2140/pjm.2019.298.445