Add to ORKGWe provide an introduction to enumerating and constructing invariants of group representations via character methods. The problem is contextualized via two case studies, arising from our recent work: entanglement invariants for characterizing the structure of state spaces for composite quantum systems; and Markov invariants, a robust alternative to parameter-estimation intensive methods of statistical inference in molecular phylogenetics. doi:10.1017/S144618111400032
We review the basic notions of group theory, in particular Lie groups and Lie algebras, and of repr...
For this lecture, useful references include: Khovanov and Lauda, A diagrammatic approach to categori...
This paper presents a series of general results about the optimal estimation of physical transformat...
This thesis develops and expands upon known techniques of mathematical physics relevant to the anal...
Probabilistic models of mathematical phylogenetics have been intensively used in recent years in bio...
This book is about the computational aspects of invariant theory. Of central interest is the questio...
We examine a potential relevance of methods of harmonic analysis for the study of quantum entangleme...
This textbook is the first one addressing quantum information from the viewpoint of group symmetry. ...
Automated invariant generation is a fundamental challenge in program analysis and verification, goin...
This book provides a modern introduction to the representation theory of finite groups. Now in its s...
Based on "Representations and invariants of the classical groups" / Roe Goodman and Nolan R. Wallach...
In fields like statistical dynamics or chaos theory, we use probabilistic models to come to conclusi...
The maximum likelihood strategy for the estimation of group parameters allows one to derive in a gen...
The history of invariant theory spans nearly a century and a half, with roots in certain problems fr...
A conceptual variable is any variable defined by a person or by a group of persons. Such variables m...
We review the basic notions of group theory, in particular Lie groups and Lie algebras, and of repr...
For this lecture, useful references include: Khovanov and Lauda, A diagrammatic approach to categori...
This paper presents a series of general results about the optimal estimation of physical transformat...
This thesis develops and expands upon known techniques of mathematical physics relevant to the anal...
Probabilistic models of mathematical phylogenetics have been intensively used in recent years in bio...
This book is about the computational aspects of invariant theory. Of central interest is the questio...
We examine a potential relevance of methods of harmonic analysis for the study of quantum entangleme...
This textbook is the first one addressing quantum information from the viewpoint of group symmetry. ...
Automated invariant generation is a fundamental challenge in program analysis and verification, goin...
This book provides a modern introduction to the representation theory of finite groups. Now in its s...
Based on "Representations and invariants of the classical groups" / Roe Goodman and Nolan R. Wallach...
In fields like statistical dynamics or chaos theory, we use probabilistic models to come to conclusi...
The maximum likelihood strategy for the estimation of group parameters allows one to derive in a gen...
The history of invariant theory spans nearly a century and a half, with roots in certain problems fr...
A conceptual variable is any variable defined by a person or by a group of persons. Such variables m...
We review the basic notions of group theory, in particular Lie groups and Lie algebras, and of repr...
For this lecture, useful references include: Khovanov and Lauda, A diagrammatic approach to categori...
This paper presents a series of general results about the optimal estimation of physical transformat...