Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics
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Beschreibung
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:
v structure and representation theory of reductive algebraic monoids
v monoid schemes and applications of monoids
v monoids related to Lie theory
v equivariant embeddings of algebraic groups
v constructions and properties of monoids from algebraic combinatorics
v endomorphism monoids induced from vector bundles
v 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introduction to these topics, while the remaining contributions are research articles containing previously unpublished results, which are sure to become very influential for future work.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 π-regular.
Graduatestudents 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introduction to these topics, while the remaining contributions are research articles containing previously unpublished results, which are sure to become very influential for future work.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 semi groups are strongly π-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.
Comprised of both expository and research articles accessible to beginners with minimal background A diversity of topics explaining algebraic monoids and combinatorics offer the reader a true panorama of the field Written by pioneers of the subject and unique in its presentation and content, it meets a long-awaited demand in the field of algebraic monoids and semi groups
Autor*in
Mahir Can
Themen in »Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics«
algebraic combinatorics algebraic group embeddings linear algebraic monoids semigroups strong pi-regularity of algebraic semigroups combinatorics