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This book contains a collection of fifteen articles and is
dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha,
the pioneers of the field of algebraic monoids. Topics presented
include: structure and representation theory of reductive algebraic
monoids monoid schemes and applications of monoids monoids related
to Lie theory equivariant embeddings of algebraic groups
constructions and properties of monoids from algebraic
combinatorics endomorphism monoids induced from vector bundles
Hodge-Newton decompositions of reductive monoids A portion of these
articles are designed to serve as a self-contained introduction to
these topics, while the remaining contributions are research
articles containing previously unpublished results, which are sure
to become very influential for future work. Among these, for
example, the important recent work of Michel Brion and Lex Renner
showing that the algebraic semi groups are strongly -regular.
Graduate students as well as researchers working in the fields of
algebraic (semi)group theory, algebraic combinatorics and the
theory of algebraic group embeddings will benefit from this unique
and broad compilation of some fundamental results in (semi)group
theory, algebraic group embeddings and algebraic combinatorics
merged under the umbrella of algebraic monoids.
This book contains a collection of fifteen articles and is
dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha,
the pioneers of the field of algebraic monoids. Topics presented
include: structure and representation theory of reductive algebraic
monoids monoid schemes and applications of monoids monoids related
to Lie theory equivariant embeddings of algebraic groups
constructions and properties of monoids from algebraic
combinatorics endomorphism monoids induced from vector bundles
Hodge-Newton decompositions of reductive monoids A portion of these
articles are designed to serve as a self-contained introduction to
these topics, while the remaining contributions are research
articles containing previously unpublished results, which are sure
to become very influential for future work. Among these, for
example, the important recent work of Michel Brion and Lex Renner
showing that the algebraic semigroups are strongly
pi-regular.Graduate students as well as researchers working in the
fields of algebraic (semi)group theory, algebraic combinatorics,
and the theory of algebraic group embeddings will benefit from this
unique and broad compilation of some fundamental results in
(semi)group theory, algebraic group embeddings, and algebraic
combinatorics merged under the umbrella of algebraic monoids.
This comprehensive, encyclopedic text in four parts aims to give
the reader - from the graduate student to the
researcher/practitioner - a detailed understanding of modern finite
semigroup theory, focusing in particular on advanced topics on the
cutting edge of research. The q-theory of Finite Semigroups
presents important techniques and results, many for the first time
in book form, thereby updating and modernizing the semigroup theory
literature.
This book is intended to present group representation theory at a
level accessible to mature undergraduate students and beginning
graduate students. This is achieved by mainly keeping the required
background to the level of undergraduate linear algebra, group
theory and very basic ring theory. Module theory and Wedderburn
theory, as well as tensor products, are deliberately avoided.
Instead, we take an approach based on discrete Fourier Analysis.
Applications to the spectral theory of graphs are given to help the
student appreciate the usefulness of the subject. A number of
exercises are included. This book is intended for a 3rd/4th
undergraduate course or an introductory graduate course on group
representation theory. However, it can also be used as a reference
for workers in all areas of mathematics and statistics.
This comprehensive, encyclopedic text in four parts aims to give
the reader - from the graduate student to the
researcher/practitioner - a detailed understanding of modern finite
semigroup theory, focusing in particular on advanced topics on the
cutting edge of research. The q-theory of Finite Semigroups
presents important techniques and results, many for the first time
in book form, thereby updating and modernizing the semigroup theory
literature.
This issue of Cardiology Clinics, guest edited by Drs. Benjamin A.
Steinberg and Jonathan P. Piccini, will focus on Atrial
Fibrillation in Heart Failure. Topics include, but are not limited
to Epidemiology of Atrial Fibrillation and Heart Failure,
Pathophysiology, Unmet clinical needs and future trials, Randomized
clinical trials of catheter ablation for the treatment of Atrial
Fibrillation/Heart Failure, AF ablation, role for digitalis,
His-bundle pacing, Role of ivabradine for rate control, Novel
Ablation Approaches for Challenging AF Cases, Imaging for risk
stratification in AF/HF, Management of advanced left atrial
myopathy, LV systolic function, patient-reported outcomes, Stroke
prevention in AF and HF, Prediction and management of recurrences
after catheter ablation in AF/HF, and Mechanisms of improved
mortality following ablation.
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