Modules and Morita theorem for operads
M. Kapranov, Yu. Manin
Abstract
Associative rings A, B are called Morita equivalent when the categories of left modules over them are equivalent. We call two classical linear operads P, Q Morita equivalent if the categories of algebras over them are equivalent. We transport a part of Morita theory to the operadic context by studying modules over operads. As an application of this philosophy, we consider an operadic version of the sheaf of linear differential operators ona a (super) manifold M and give a comparison theorem between algebras over this sheaf on M and Mred. The paper is dedicated to A.N.Tyurin on the occasion of his 60th birthday.
Create a lesson
Related papers
Cellular Algebra of A2 webs
Azat M. Gainutdinov, Jesper Lykke Jacobsen, Yueheng Li
Quandles with isomorphic representation categories
Mohamad Maassarani
On quasi-lisse affine vertex algebras L-1-h/6(g) from rank-one Argyres-Douglas theories
Drazen Adamovic, Xuanzhong Dai, Kaiwen Sun
Cyclic reflections and the flip equation for the graded Grothendieck-Teichmüller group
Chandan Singh
On the Drinfeld doubles of Laistrygonian algebras in positive characteristic
Nicolás Andruskiewitsch, Dirceu Bagio, Saradia Della Flora et al.
Derivation based noncommutative geometry of quiver path algebras
Joakim Arnlind, Victor Hildebrandsson