ENGLISH

General Theory of Leibniz Algebras

By Leonid Kurdachenko; Oleksandr Pypka; Igor Subbotin

Book information

Publisher
Springer International Publishing
Year
2024
ISBN
9783031581489, 9783031581472
Language
english
Format
EPUB
Filesize
16 MB (16808407 bytes)
Series
Synthesis Lectures on Mathematics
Pages
173\0
Orientation
landscape
Paginated
yes
Scanned
no
Time added
2024-09-05 08:34:52

Description

This book discusses many interesting results have been obtained in Leibniz algebras over the past two decades. The authors not only summarize recent results and methods successfully used in Leibniz algebras, but also show new prospective horizons. Any mathematical theories have a number of natural problems that arise in the process of its development, and these problems quite often have analogues in other areas such as differential geometry, homological algebra, classical algebraic topology, noncommutative geometry, etc. With this in mind the authors describe the general structure of Leibniz algebras that have already been discovered. This approach allows readers to see which parts of the theory should be developed further and also shows the significant differences of Leibniz algebras from Lie algebras. Recent results that constitute the naturally evolving general theory of the subject are then explored.

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