9 citations · 11 across the 7 of their papers we have counts for
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Comultiplicative map on projective resolution for a family of algebras one of which is cluster-tilted type D4
Pratyush Mishra, Tolulope Oke
We construct a comultiplicative map on the projective bimodule resolution for a family of algebras one of which is cluster-tilted of type D4. The comultiplicative map is presented…
Actions of Drinfeld doubles of finite groups on Artin-Schelter regular algebras
Ellen Kirkman, W. Frank Moore, Tolulope Oke
For a finite group and an algebraically closed field of characteristic zero we consider Artin-Schelter regular algebras on which the Drinfeld double acts inn…
Homotopy lifting maps on Hochschild cohomology and connections to deformation of algebras using reduction systems
Tolulope Oke
We describe the Gerstenhaber bracket structure on Hochschild cohomology of Koszul quiver algebras in terms of homotopy lifting maps. There is a projective bimodule resolution of Ko…
Bracket structure on Hochschild cohomology of Koszul quiver algebras using homotopy liftings
Tolulope Oke
We present the Gerstenhaber algebra structure on the Hochschild cohomology of Koszul algebras defined by quivers and relations using the idea of homotopy liftings. E.L. Green, G. H…
Homotopy liftings and Hochschild cohomology of some twisted tensor products
Pablo S. Ocal, Tolulope Oke, Sarah Witherspoon
The Hochschild cohomology of a tensor product of algebras is isomorphic to a graded tensor product of Hochschild cohomology algebras, as a Gerstenhaber algebra. A similar result ho…
Cup product on Hochschild cohomology of a family of quiver algebras
Tolulope Oke
Let k be a field, q in k. We derive a cup product formula on the Hochschild cohomology ring of a family Lambda_q of quiver algebras. Using this formula, we determine a subalgebra o…
Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products
Tekin Karadag, Dustin McPhate, Pablo S. Ocal +2
We present techniques for computing Gerstenhaber brackets on Hochschild cohomology of general twisted tensor product algebras. These techniques involve twisted tensor product resol…