Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Stratifications and Mackey Functors II: Globally Defined Mackey Functors
View through CrossRef
AbstractWe describe structural properties of globally defined Mackey functors related to the stratification theory of algebras. We show that over a field of characteristic zero they form a highest weight category and we also determine precisely when this category is semisimple. This approach is used to show that the Cartan matrix is often symmetric and non-singular, and we are able to compute finite parts of it in some instances. We also develop a theory of vertices of globally defined Mackey functors in the spirit of group representation theory, as well as giving information about extensions between simple functors.
Title: Stratifications and Mackey Functors II: Globally Defined Mackey Functors
Description:
AbstractWe describe structural properties of globally defined Mackey functors related to the stratification theory of algebras.
We show that over a field of characteristic zero they form a highest weight category and we also determine precisely when this category is semisimple.
This approach is used to show that the Cartan matrix is often symmetric and non-singular, and we are able to compute finite parts of it in some instances.
We also develop a theory of vertices of globally defined Mackey functors in the spirit of group representation theory, as well as giving information about extensions between simple functors.
Related Results
Breast Carcinoma within Fibroadenoma: A Systematic Review
Breast Carcinoma within Fibroadenoma: A Systematic Review
Abstract
Introduction
Fibroadenoma is the most common benign breast lesion; however, it carries a potential risk of malignant transformation. This systematic review provides an ove...
Exploring of Arabic Text Book for MA KMA 183 in 2019 Based on Mackey’s Theory and ACTFL Standards
Exploring of Arabic Text Book for MA KMA 183 in 2019 Based on Mackey’s Theory and ACTFL Standards
This study aims to explore Arabic textbooks by looking at four elements, namely selection (material selection), gradation (ordering), presentation, and repetition in Arabic textboo...
Homotopy Theory of Enriched Mackey Functors
Homotopy Theory of Enriched Mackey Functors
This work develops techniques and basic results concerning the homotopy theory of enriched diagrams and enriched Mackey functors. Presentation of a category of interest as a diagra...
Around evaluations of biset functors
Around evaluations of biset functors
Our purpose here, is to study double Burnside algebras via evaluations of biset functors. In order to avoid the difficult problem of vanishing of simple functors, we look at finite...
Multivariate functorial difference
Multivariate functorial difference
Abstract
Partial difference operators for a large class of functors between presheaf categories are introduced, extending our previous work on the difference oper...
Extending (τ-)tilting subcategories and (co)silting modules
Extending (τ-)tilting subcategories and (co)silting modules
Abstract
Let B be a finite dimensional algebra and A=B[P0] be the one-point extension algebra of B with respect to the finitely generated projective B-module P0. The catego...
SCALE EXPONENTS OF ATMOSPHERIC TURBULENCE UNDER DIFFERENT STRATIFICATIONS
SCALE EXPONENTS OF ATMOSPHERIC TURBULENCE UNDER DIFFERENT STRATIFICATIONS
Wavelet analysis is used to measure directly the scale exponents of atmospheric turbulence at inertial range under different stratifications. It is found that the average values of...
Drum Music: A Performance Guide and Discussion of John Mackey's Influential Concerto for the Modern Percussionist
Drum Music: A Performance Guide and Discussion of John Mackey's Influential Concerto for the Modern Percussionist
John Mackey is an influential and prolific composer of wind band literature. His focus on and exploration of the percussion section are defining characteristics of his compositiona...