Add to ORKGAbstract. We study the geometry of algebraic monoids. We prove that the group of invertible elements of an irreducible algebraic monoid is an alge-braic group, open in the monoid. Moreover, if this group is reductive, then the monoid is affine. We then give a combinatorial classification of reductive monoids by means of the theory of spherical varieties. 1
AbstractThe study of categories as generalized monoids is shown to be essential to the understanding...
Chapter 1 defines basic ideas such as definition of monoids, homomorphisms of monoids, congruences, ...
The adjunction of a unit to an algebraic structure with a given binary asso-ciative operation is dis...
The theory of algebraic group embeddings has developed dramatically over the last twenty-five years,...
This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Le...
Definition: Let k be an algebraically closed field. An algebraic monoid is a triple (E,m,l) such tha...
Factorizable inverse monoids constitute the algebraic theory of those partial symmetries which are r...
In this paper, we develop a new method to show that a monoid, given by a certain kind of presentatio...
AbstractAn (affine) algebraic monoid is an affine variety over an algebraically closed field K endow...
Let $X$ be an affine algebraic variety over $\mathbb{C}$ equipped with an action of a connected redu...
Abstract. This paper is a survey on the representations of algebraic monoids. Obviously, there are m...
Let M be a reductive linear algebraic monoid with unit group G and let the derived group of G be sim...
While it is quite easy to express, in categorical-algebraic terms, when a monoid is an abelian group...
The thesis is on the Putcha-Renner theory of algebraic monoids over (an algebraically closed field) ...
AbstractLet M be a reductive monoid with a reductive unit group G. Clearly there is a natural G×G ac...
AbstractThe study of categories as generalized monoids is shown to be essential to the understanding...
Chapter 1 defines basic ideas such as definition of monoids, homomorphisms of monoids, congruences, ...
The adjunction of a unit to an algebraic structure with a given binary asso-ciative operation is dis...
The theory of algebraic group embeddings has developed dramatically over the last twenty-five years,...
This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Le...
Definition: Let k be an algebraically closed field. An algebraic monoid is a triple (E,m,l) such tha...
Factorizable inverse monoids constitute the algebraic theory of those partial symmetries which are r...
In this paper, we develop a new method to show that a monoid, given by a certain kind of presentatio...
AbstractAn (affine) algebraic monoid is an affine variety over an algebraically closed field K endow...
Let $X$ be an affine algebraic variety over $\mathbb{C}$ equipped with an action of a connected redu...
Abstract. This paper is a survey on the representations of algebraic monoids. Obviously, there are m...
Let M be a reductive linear algebraic monoid with unit group G and let the derived group of G be sim...
While it is quite easy to express, in categorical-algebraic terms, when a monoid is an abelian group...
The thesis is on the Putcha-Renner theory of algebraic monoids over (an algebraically closed field) ...
AbstractLet M be a reductive monoid with a reductive unit group G. Clearly there is a natural G×G ac...
AbstractThe study of categories as generalized monoids is shown to be essential to the understanding...
Chapter 1 defines basic ideas such as definition of monoids, homomorphisms of monoids, congruences, ...
The adjunction of a unit to an algebraic structure with a given binary asso-ciative operation is dis...