This ebook encompasses a choice of fifteen articles and is devoted to the 60th birthdays of Lex Renner and Mohan Putcha, the pioneers of the sphere of algebraic monoids.

Topics offered include:

structure and illustration conception of reductive algebraic monoids

monoid schemes and purposes of monoids

monoids with regards to Lie theory

equivariant embeddings of algebraic groups

constructions and houses of monoids from algebraic combinatorics

endomorphism monoids prompted from vector bundles

Hodge–Newton decompositions of reductive monoids

A component to those articles are designed to function a self-contained creation to those issues, whereas the remainder contributions are examine articles containing formerly unpublished effects, that are bound to develop into very influential for destiny paintings. between those, for instance, the real fresh paintings of Michel Brion and Lex Renner displaying that the algebraic semi teams are strongly π-regular.

Graduate scholars in addition to researchers operating within the fields of algebraic (semi)group thought, algebraic combinatorics and the idea of algebraic team embeddings will reap the benefits of this particular and vast compilation of a few primary leads to (semi)group conception, algebraic staff embeddings and algebraic combinatorics merged lower than the umbrella of algebraic monoids.

Read or Download Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics (Fields Institute Communications) PDF

Similar algebra books Fresh advances in either the idea and implementation of computational algebraic geometry have resulted in new, remarkable purposes to various fields of analysis. The articles during this quantity spotlight various those functions and supply introductory fabric for subject matters lined within the IMA workshops on "Optimization and keep an eye on" and "Applications in Biology, Dynamics, and information" held through the IMA yr on purposes of Algebraic Geometry. Delivering an almost entire choice of updated tools and effects on block invariants with admire to their disorder teams, this ebook covers the classical concept pioneered through Brauer, the trendy conception of fusion platforms brought by means of Puig, the geometry of numbers constructed via Minkowski, the class of finite easy teams, and numerous desktop assisted tools. The Compressed Word Problem for Groups (SpringerBriefs in Mathematics)

The Compressed observe challenge for teams offers an in depth exposition of identified effects at the compressed note challenge, emphasizing effective algorithms for the compressed notice challenge in a variety of groups. The author presents the required history in addition to the latest effects at the compressed observe challenge to create a cohesive self-contained booklet obtainable to laptop scientists in addition to mathematicians. A Classroom-Tested, substitute method of instructing Math for Liberal Arts Puzzles, Paradoxes, and challenge fixing: An creation to Mathematical considering makes use of puzzles and paradoxes to introduce easy ideas of mathematical idea. The textual content is designed for college kids in liberal arts arithmetic classes.
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