This book gives a thorough and self-contained introduction to the theory of Hochschild
cohomology for algebras and includes many examples and exercises. The book then …

In this paper we exhibit, in all positive characteristics, finite-dimensional rigid associative
algebras with nontrivial infinitesimal deformations. This confirms, for positive characteristics …

Let C be a differential graded chain coalgebra, Ω¯ C the reduced cobar construction on C
and C∨ the dual algebra. We prove that for a large class of coalgebras C there is a natural …

For this let k be an algebraically closed field and A a finite-dimensional k-algebra
(associative, with unit). By modA we denote the category of finitely generated left A-modules …

The subject of this book is the continuous Hochschild cohomology of dual normal modules
over a von Neumann algebra. The authors develop the necessary technical results …

Hodge theory originated as an application of harmonic theory to the study of the geometry of
compact complex manifolds. The ideas have proved to be quite powerful, leading to …

Tor.(R, R) where the tensor product is over k and R is viewed as an R (R) R-module via the
multiplication map#: R (R) RR,/(a'(R) a") a'a". The 05-product of Cartan-Eilenberg (see I-CE …

Oh Hochschild Cohomology of Preprojective Algebras, I Page 1 Ž . JOURNAL OF ALGEBRA
205, 391412 1998 ARTICLE NO. JA987547 On Hochschild Cohomology of Preprojective …

We show that derived equivalences preserve the homotopy type of the (cohomological)
Hochschild complex as a B∞-algebra. More generally, we prove that, as an object of the …

This book provides an introduction to a topic of central interest in transcendental algebraic
geometry: the Hodge conjecture. Consisting of 15 lectures plus addenda and appendices …