[图书][B] Elements of the Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory

I Assem, D Simson, A Skowronski - 2006 - books.google.com
This is the first of a two-volume set that provides a modern account of the representation
theory of finite dimensional associative algebras over an algebraically closed field. The …

Symbolic algorithms computing Gram congruences in the Coxeter spectral classification of edge-bipartite graphs, I. A Gram classification

D Simson - Fundamenta Informaticae, 2016 - content.iospress.com
We continue the Coxeter spectral study of the category 𝒰ℬigr m of loop-free edge-bipartite
(signed) graphs Δ, with m≥ 2 vertices, we started in [SIAM J. Discr. Math. 27 (2013), 827 …

Symbolic algorithms computing Gram congruences in the Coxeter spectral classification of edge-bipartite graphs, II. Isotropy mini-groups

D Simson - Fundamenta Informaticae, 2016 - content.iospress.com
In this two parts article with the same title we continue the Coxeter spectral study of the
category 𝒰ℬigr m of loop-free edge-bipartite (signed) graphs Δ, with m≥ 2 vertices, we …

[HTML][HTML] Tame–wild dichotomy of Birkhoff type problems for nilpotent linear operators

D Simson - Journal of Algebra, 2015 - Elsevier
Inspired by recent results of Ringel–Schmidmeier, Kussin–Lenzing–Meltzer, Xiao-Wu Chen,
and Pu Zhang, given a field K, m≥ 1, and a finite poset I≡(I,⪯) with a unique maximal …

Representation types of the category of subprojective representations of a finite poset over K [t]/(tm) and a solution of a Birkhoff type problem

D Simson - Journal of Algebra, 2007 - Elsevier
We determine the representation type (wild, tame, polynomial growth) of the category fspr (I,
Fm) of filtered subprojective Fm-representations of a finite poset I in terms of m and I, where …

Cohen-Macaulay modules over classical orders

D Simson - LECTURE NOTES IN PURE AND APPLIED …, 2000 - books.google.com
This article is an extended and completed version of the second part of the joint survey
lecture with Yu. Drozd on Cohen-Macaulay modules over Cohen-Macaulay algebras …

An algorithmic solution of a Birkhoff type problem

D Simson, M Wojewódzki - Fundamenta Informaticae, 2008 - content.iospress.com
We give an algorithmic solution in a simple combinatorial data of Birkhoff0s type problem
studied in [22] and [25], for the category rep [TeX:] _ {ft}(I, K [t]/(t [TeX:]^ m)) of filtered I-chains …

[HTML][HTML] Inflation algorithm for loop-free non-negative edge-bipartite graphs of corank at least two

D Simson, K Zając - Linear Algebra and its Applications, 2017 - Elsevier
We continue the study of finite connected loop-free edge-bipartite graphs Δ, with m≥ 3
vertices (a class of signed graphs), we started in Simson (2013)[48] and M. Gąsiorek et …

[PDF][PDF] A computation of positive one-peak posets that are Tits-sincere

M Gąsiorek, D Simson - Colloquium Mathematicum, 2012 - researchgate.net
A complete list of positive Tits-sincere one-peak posets is provided by applying
combinatorial algorithms and computer calculations using Maple and Python. The problem …

[HTML][HTML] Representation-finite Birkhoff type problems for nilpotent linear operators

D Simson - Journal of Pure and Applied Algebra, 2018 - Elsevier
The paper is an addition to our article Simson (2015)[37]. Given a field K, an integer m≥ 1,
and a finite poset I≡(I,⪯) with a unique maximal element⁎, we study the category M on (I, F …