Ana Paula Santana

Active commuting and its associations with blood pressure and adiposity markers in children.

OBJECTIVE The positive impacts of active travel on health markers still require further research, especially in youth populations with higher risk of obesity. The present study aimed to analyze the associations between blood pressure and adiposity risk (BPAR) and active travel to school in children. METHODS The sample comprised 665 Portuguese children (345 boys) aged 7-9 years. Data on height, weight, and skinfold thickness were collected by a trained fieldworker as well as data on BPAR between March 2009 and January 2010 (data were analyzed in 2012-2013). Information on mode and duration of travel to school (i.e. exposure) was gathered by questionnaire. Outcome variables were statistically normalized and expressed as Z scores. A BPAR score was computed as the mean of the Z scores. Multiple linear regression, with adjustments for confounders, was used. RESULTS Active commuting was inversely associated with BPAR after adjustment for several potential confounders. After adjusting for BMI, the strength of the relationship between BPAR and active commuting was significantly improved (p≤0.01). CONCLUSIONS Findings showed an independent association between the clustered BPAR and active commuting in children aged 7-9 years.

Parental perceptions of neighborhood environments, BMI, and active behaviors in girls aged 7-9 years.

Habitual physical activity (PA) may be influenced by a broad range of neighborhood, school, community, and family factors. Young people, particularly girls, tend to show lower habitual PA than boys and should be a target for prevention strategies aimed at healthy lifestyles. The purpose of this study was twofold: (1) to determine which perceived attributes about neighborhoods are related to active behaviors; (2) to analyze which perceived attributes about neighborhoods are related to body mass index (BMI) of children.

Characteristic-free resolutions of Weyl and Specht modules

Abstract We construct explicit resolutions of Weyl modules by divided powers and of co-Specht modules by permutational modules. We also prove a conjecture by Boltje and Hartmann (2010) [7] on resolutions of co-Specht modules.

Group Representations and Matrix Spectral Problems

We study a connectionvia group representation theory, between the problem of describing the invariant factors of a product of two matrices over a principal ideal domain and the problem of describing the spectrum of a sum of two Hermitian matrices.

Note On the equality of star products

We study the problem of finding conditions for two star products of n vectors to be equal when the vectors in each star product are not linearly independent, and the problem of finding conditions for one star product to be zero. We reprove results of M. Marcus and J. Chollet in a very simple way. We present also some open problems.

Homological properties of quantised Borel-Schur algebras and resolutions of quantised Weyl modules

Abstract We continue the development of the homological theory of quantum general linear groups previously considered by the first author. The development is used to transfer information to the representation theory of quantised Schur algebras. The acyclicity of induction from some rank-one modules for quantised Borel–Schur subalgebras is deduced. This is used to prove the exactness of the complexes recently constructed by Boltje and Maisch, giving resolutions of the co-Specht modules for Hecke algebras.

On Auslander–Reiten sequences for Borel–Schur algebras

We classify Borel–Schur algebras having finite representation type. We also determine Auslander–Reiten sequences for a large class of simple modules over Borel–Schur algebras. A partial information on the structure of the socles of Borel-Schur algebras is given.

An action of the Hecke monoid on rational modules for the Borel subgroup of a quantised general linear group

Abstract We construct an action of the Hecke monoid on the category of rational modules for the quantum negative Borel subgroup of the quantum general linear group. We also show that this action restricts to the category of polynomial modules for this quantum subgroup and induces an action on the category of modules for the quantised Borel–Schur algebra S α , β − ( n , r ) .

Perfect Category-Graded Algebras

In a perfect category, every object has a minimal projective resolution. We give a criterion for the category of modules over a category-graded algebra to be perfect.

A combinatorial theorem on the Cartan invariants of the Schur algebra S(B

Abstract We prove an identity for the Cartan invariants of the Schur algebra S(B+) using combinatorial properties of row semistandard λ-tableaux. The problem arose in connection with the construction of projective resolutions of the irreducible S(B+)-modules.