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Presents modern algebra. This book includes such topics as affine and projective spaces, tensor algebra, Galois theory, Lie groups, and associative algebras and their representations. It is suitable for independent study for advanced undergraduates and graduate students.

This book presents a comprehensive and detailed exposition of the fundamentals of the representation theory of groups, especially of finite groups and compact groups. The exposition is based on the decomposition of the two-sided regular representation.

Winner: Leadership category - 2016 Book Excellence Awards

Finalist: Business: Management & Leadership category - 2016 International Book Awards
Finalist: Business: Management & Leadership category - 2016 Best Book Awards

Bronze: Leadership category - 2017 Axiom Business Book Awards

Most of us work in or manage teams, but are we really getting the most out of the numerous benefits of effective teamwork? All too often there are roadblocks - ranging from a lack of engagement to clashing...

This is a business book told in a story format for leaders; a Leadership Tale. It takes place in the world of international business where, as a result of an acquisition, two companies merge creating a team: A team struggling with conflicts and dishonesty, but also showing glimpses of loyalty and hope. Stephen, the team's leader, is challenged to get them working together. In these times of change and economic downturn, it's more important than ever that he gets it right. Follow Stephen and his team on their journey through the thorny maze that all teams travel through. This is a quick,...

Things move fast. Leaders need to create impact in each moment, to not lose that moment. Creating impact is a positive, powerful and authentic way to demonstrate you're taking charge, get more from your team and drive business results. But to succeed, you need to create the impact you WANT and need rather than relying on what you HAVE. The Leader's Guide to Impact will show leaders how to create the impact that will help them connect with others in a respectful way, to create trust, get others to listen to them, influence effectively, drive results and much more. And most...

Spaces of constant curvature, i.e. Euclidean space, the sphere, and Loba chevskij space, occupy a special place in geometry. They are most accessible to our geometric intuition, making it possible to develop elementary geometry in a way very similar to that used to create the geometry we learned at school. However, since its basic notions can be interpreted in different ways, this geometry can be applied to objects other than the conventional physical space, the original source of our geometric intuition. Euclidean geometry has for a long time been deeply rooted in the human mind. The same is...

A very clear account of the subject from the viewpoints of elementary geometry, Riemannian geometry and group theory - a book with no rival in the literature. Mostly accessible to first-year students in mathematics, the book also includes very recent results which will be of interest to researchers in this field.

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic.

Editorial Board

Lev Birbrair,...

This is a quite extraordinary book on Lie groups and algebraic groups. Created from hectographed notes in Russian from Moscow University, which for many Soviet mathematicians have been something akin to a "bible," the book has been substantially extended and organized to develop the material through the posing of problems and to illustrate it through a wealth of examples. Several tables have never before been published, such as decomposition of representations into irreducible components. This will be especially helpful for physicists. The authors have managed to present some vast topics: the...

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic.

Editorial Board

Lev Birbrair,...