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Classical Finite Transformation Semigroups: An Introduction
Ordinary and Partial Transformations.- The Semigroups T n, PT n, and IS n.- Generating Systems.- Ideals and Green ' s Relations.- Subgroups and Subsemigroups.- Other Relations on Semigroups.-Expand
Classical finite transformation semigroups
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Simple weith modules over twisted generalized weyl algebras
We introduce a twisted higher rank generalization of generalized Weyl algebras and study simple weight modules over such algebras.
Quadratic duals, Koszul dual functors, and applications
This paper studies quadratic and Koszul duality for modules over positively graded categories. Typical examples are modules over a path algebra, which is graded by the path length, of a notExpand
Cell 2-representations of finitary 2-categories
Abstract We study 2-representations of finitary 2-categories with involution and adjunctions by functors on module categories over finite-dimensional algebras. In particular, we define, construct andExpand
Blocks and modules for Whittaker pairs
Inspired by recent activities on Whittaker modules over various (Lie) algebras, we describe a general framework for the study of Lie algebra modules locally finite over a subalgebra. As a special cExpand
Transitive 2-representations of finitary 2-categories
In this article, we define and study the class of simple transitive $2$-representations of finitary $2$-categories. We prove a weak version of the classical Jordan-H{\"o}lder Theorem where the weakExpand
On the representation theory of partial Brauer algebras
In this paper we study the partial Brauer $\mathbb{C}$-algebras $\mathfrak{R}_n(\delta,\delta')$, where $n \in \mathbb{N}$ and $\delta,\delta'\in\mathbb{C}$. We show that these algebras areExpand
On three approaches to conjugacy in semigroups
We compare three approaches to the notion of conjugacy for semigroups, the first one via the transitive closure of the uv∼vu relation, the second one via an action of inverse semigroups on themselvesExpand
On Kiselman quotients of 0-Hecke monoids
Combining the definition of 0-Hecke monoids with that of Kiselman semigroups, we define what we call Kiselman quotients of 0-Hecke monoids associated with simply laced Dynkin diagrams. We classifyExpand