Algebra, Combinatorics and Number Theory

Injective Hulls of Simple Modules Over Nilpotent Super Lie Algebras

Speaker: 

Can Hatipoglu (Universidade do Porto)

Date: 

Monday, 11 July, 2011 - 10:00

Venue: 

Room 040 of the Biology Department, FCUP

We consider rings whose injective hulls of simple modules are locally Artinian. After a brief discussion of this ring theoretic property and after a list of examples, we consider this property for super Lie algebras and classify all finite dimensional complex nilpotent super Lie algebras whose...

Representation theory of quantum matrices.

Speaker: 

Stéphane Launois, School of Mathematics, Statistics & Actuarial Science, University of Kent, UK

Date: 

Tuesday, 5 April, 2011 - 10:00

Venue: 

0.05, Mathematics Department Building, FCUP

I will discuss primitive ideals of the algebra of quantum matrices. In particular, I will explain how, roughly speaking, the problem reduces to the computation of the rank of certain integral matrices. Then I will explain combinatorial tools to compute the rank of these integral matrices.

Toward synthetic noncommutative geometry.

Speaker: 

Tomasz Brzezinski Department of Mathematics, University of Wales Swansea, UK

Date: 

Wednesday, 26 January, 2011 - 14:30

Venue: 

0.19, Mathematics Department Building, FCUP

In the first part of the talk we outline the basic ideas of synthetic approach to differential geometry. The main idea of this approach, which originates from considerations of Sophus Lie is very simple: All geometric constructions are performed within a suitable base category in which space...

On linear properties of Goldie dimension of modules and modular lattices.

Speaker: 

Edmund R.Puczylowski (University of Warsaw)

Date: 

Friday, 12 November, 2010 - 11:00

Venue: 

Room M108 FCUP-DM

The Goldie dimension of a module M is defined as the supremum of all cardinalities λ such that M contains the direct sum of λ nonzero submodules. This definition can be easily extended to modular lattices with 0 and it extends the notion of the linear dimension of linear...

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