We prove that there exists a version of Weil descent, or Weil restriction, in the category of D-
algebras. The objects of this category are k-algebras R equipped with a homomorphism e …

We define the notion of a minimal filtered free resolution for a filtered module over the ring D
(h), a homogenization of the ring D of analytic differential operators. This provides us with …

An explicit formula for a canonical splitting $ s: Q\mathcal {B}({\mathcal {E}^\cdot})\to\mathcal
{B}({\mathcal {E}^\cdot}) $ of the projection $\mathcal {B}({\mathcal {E}^\cdot})\to Q\mathcal …

In a previous paper we showed how the main theorems characterizing operator algebras
and operator modules, fit neatly into the framework of the “noncommutative Shilov …

We explore properties of the set of d‐units of ad‐algebra. A property of interest in the study
of d‐units in d‐algebras is the weak associative property. It is noted that many other d …

If k is a field and R is a commutative k-algebra, we explore the question of when the ring DR|
k of k-linear differential operators on R is isomorphic to its opposite ring. Under mild …

In this paper we undertake a basic study on connective commutative differential graded
algebras (CDGA), more precisely, piecewise Noetherian CDGA, which is a DG-counter part …

We define a generalization of the Shapovalov form for contragradient Lie algebras and
compute its determinant for Generalized Verma modules induced from a well-embeddedsl …

In this paper, we study a class of $\Z_d $-graded modules, which are constructed using
Larsson's functor from $\sl_d $-modules $ V $, for the Lie algebras of divergence zero vector …

Let g be a finite-dimensional complex Lie algebra, and let U (g) be the enveloping algebra of
g. Simple criteria are given for finitely generated U (g)-modules H to remain finite under the …