Results 51 to 60 of about 1,522 (244)
The Canonical Inductive Character Ring of Modular Representations
This paper introduces and rigorously constructs the concept of a canonical inductive character ring for modular representations of finite groups. While classical representation theory over fields of characteristic zero benefits from the well-established character ring and Brauer's induction theorem, modular representation theory, dealing with fields of
Revista, Zen, MATH, 10
openaire +2 more sources
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley +1 more source
A Universal Inductive Framework for Modular Characters and Representations
This paper introduces a novel universal inductive framework for the construction and analysis of modular characters and representations of finite groups. Building upon established principles of modular representation theory, including Brauer characters, Green's theory of vertices and sources, and Clifford theory, our framework provides a systematic and
Revista, Zen, MATH, 10
openaire +1 more source
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
Rapid screening of staphylokinase protein variants using an unpurified cell‐free expression system
An unpurified cell‐free protein synthesis (CFPS) platform enables rapid functional screening of staphylokinase variants. Direct plasminogen‐activation assays performed in microplate format provide real‐time activity readouts, allowing rapid identification and ranking of variants with improved or reduced fibrinolytic activity without protein ...
Maria Tomková +3 more
wiley +1 more source
-Modular Descent Algebra of the Symmetric Group [PDF]
The descent algebra of the symmetric group, over a field of non-zero characteristic p, is studied. A homomorphism into the algebra of generalised p-modular characters of the symmetric group is defined.
M. D. Atkinson +3 more
core +1 more source
In this note we extend the Kac and Todorov's orbifold theory to the principal admissible representations. This gives rise to nonsymmetric transformation matrices.
openaire +2 more sources
Why human connection is the true metric of research success
Human‐centred mentorship can be shaped by mentor attributes, actions, intrinsic drive and career ambition. Drawing on reflections across Singapore and France, as well as workshop insights from FEBS‐IUBMB ENABLE 2024, this article shows that human‐centred mentorship creates the conditions for sustainable growth, well‐being and retention in research ...
Timothy Lin Yun Tan +3 more
wiley +1 more source
On the Computation of General Vector-valued Modular Forms
We present and discuss an algorithm and its implementation that is capable of directly determining Fourier expansions of any vector-valued modular form of weight at least $2$ associated with representations whose kernel is a congruence subgroup.
Magnusson, Tobias, Raum, Martin
core +1 more source
Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young +7 more
wiley +1 more source

