Read e-book online Algebraic Groups and Lie Groups with Few Factors (Lecture PDF

By Alfonso Di Bartolo,Giovanni Falcone,Peter Plaumann,Karl Strambach

Algebraic teams are taken care of during this quantity from a bunch theoretical standpoint and the received effects are in comparison with the analogous concerns within the conception of Lie teams. the most physique of the textual content is dedicated to a type of algebraic teams and Lie teams having in simple terms few subgroups or few issue teams of other style. specifically, the variety of the character of algebraic teams over fields of optimistic attribute and over fields of attribute 0 is emphasised. this is often printed via the plethora of three-d unipotent algebraic teams over an ideal box of optimistic attribute, in addition to, by means of many concrete examples which hide a space systematically. within the ultimate part, algebraic teams and Lie teams having many closed common subgroups are determined.

Show description

Read Online or Download Algebraic Groups and Lie Groups with Few Factors (Lecture Notes in Mathematics) PDF

Best group theory books

Read e-book online Classical Topology and Combinatorial Group Theory: v. 72 PDF

In recent times, many scholars were brought to topology in highschool arithmetic. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formulation, and knots, the scholar is ended in anticipate that those picturesque principles will come to complete flower in college topology classes.

Download e-book for iPad: Operator Algebras: Theory of C*-Algebras and von Neumann by Bruce Blackadar

This publication deals a complete creation to the overall thought of C*-algebras and von Neumann algebras. starting with the fundamentals, the idea is built via such issues as tensor items, nuclearity and exactness, crossed items, K-theory, and quasidiagonality. The presentation rigorously and accurately explains the most positive factors of every a part of the idea of operator algebras; most vital arguments are a minimum of defined and plenty of are offered in complete aspect.

Download e-book for kindle: Finiteness Properties of Arithmetic Groups Acting on Twin by Stefan Witzel

Offering an available method of a different case of the Rank Theorem, the current textual content considers the precise finiteness houses of S-arithmetic subgroups of break up reductive teams in optimistic attribute while S comprises in simple terms areas. whereas the facts of the final Rank Theorem makes use of an concerned aid concept because of more durable, by means of implementing the constraints that the gang is divided and that S has in basic terms locations, you possibly can as an alternative utilize the idea of dual structures.

Download e-book for kindle: Classifying the Absolute Toral Rank Two Case: Volume 2 (De by Helmut Strade

The matter of classifying the finite dimensional easy Lie algebras over fields of attribute p > zero is an extended status one. paintings in this query has been directed via the Kostrikin Shafarevich Conjecture of 1966, which states that over an algebraically closed box of attribute p > five a finite dimensional limited easy Lie algebra is classical or of Cartan variety.

Additional info for Algebraic Groups and Lie Groups with Few Factors (Lecture Notes in Mathematics)

Example text

Download PDF sample

Algebraic Groups and Lie Groups with Few Factors (Lecture Notes in Mathematics) by Alfonso Di Bartolo,Giovanni Falcone,Peter Plaumann,Karl Strambach


by Charles
4.3

Rated 4.99 of 5 – based on 8 votes