Overview

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introduction to these topics, while the remaining contributions are research articles containing previously unpublished results, which are sure to become very influential for future work.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.

Full Product Details

Author:   Mahir Can ,  Zhenheng Li ,  Benjamin Steinberg ,  Qiang Wang
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2014
Volume:   71
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   5.504kg
ISBN:  

9781493956005

ISBN 10:   1493956000
Pages:   354
Publication Date:   23 August 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

On Algebraic Semi groups and Monoids (M. Brion).- Algebraic Semi groups are Strongly π-regular (M. Brion, L. E. Renner).- Rees Theorem and Quotients in Linear Algebraic Semi groups (M. S. Putcha).- Representations of Reductive Normal Algebraic Monoids (S. Doty).- On Linear Hodge Newton Decomposition for Reductive Monoids (S. Varma).- The Structure of Affine Algebraic Monoids in Terms of Kernel Data (W. Huang).- Algebraic Monoids and Renner Monoids (Z. Li, Z. Li, Y. Cao).- Conjugacy Decomposition of Canonical and Dual Canonical Monoids (R. K. Therkelsen).- The Endomorphisms Monoid of a Homogeneous Vector Bundle (L. Brambila-Paz and A. Rittatore).- On Certain Semi groups Derived from Associative Algebras (J. Okniński).- The Betti Numbers of Simple Embeddings (L. E. Renner).- SL(2)-regular Subvarieties of Complete Quadratics (M. B. Can, M. Joyce).- Markov Chains for Promotion Operators (A. Ayyer, S. Klee, A. Schilling).- Fomin-Greene Monoids and Pieri Operations (C. Benedetti, N. Bergeron).- Affine Permutations and an Affine Catalan Monoid (T. Denton).

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