Locally Finite Root Systems

Locally Finite Root Systems
Author :
Publisher : American Mathematical Soc.
Total Pages : 232
Release :
ISBN-10 : 9780821835463
ISBN-13 : 0821835467
Rating : 4/5 (467 Downloads)

Book Synopsis Locally Finite Root Systems by : Ottmar Loos

Download or read book Locally Finite Root Systems written by Ottmar Loos and published by American Mathematical Soc.. This book was released on 2004 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: We develop the basic theory of root systems $R$ in a real vector space $X$ which are defined in analogy to the usual finite root systems, except that finiteness is replaced by local finiteness: the intersection of $R$ with every finite-dimensional subspace of $X$ is finite. The main topics are Weyl groups, parabolic subsets and positive systems, weights, and gradings.


Locally Finite Root Systems Related Books

Locally Finite Root Systems
Language: en
Pages: 232
Authors: Ottmar Loos
Categories: Lie superalgebras
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

We develop the basic theory of root systems $R$ in a real vector space $X$ which are defined in analogy to the usual finite root systems, except that finiteness
Developments and Trends in Infinite-Dimensional Lie Theory
Language: en
Pages: 492
Authors: Karl-Hermann Neeb
Categories: Mathematics
Type: BOOK - Published: 2010-10-17 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core ar
Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification
Language: en
Pages: 453
Authors: Jacob Greenstein
Categories: Mathematics
Type: BOOK - Published: 2022-03-11 - Publisher: Springer Nature

DOWNLOAD EBOOK

This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues, in celebration of the impact
Steinberg Groups for Jordan Pairs
Language: en
Pages: 458
Authors: Ottmar Loos
Categories: Mathematics
Type: BOOK - Published: 2020-01-10 - Publisher: Springer Nature

DOWNLOAD EBOOK

The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory o
Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications
Language: en
Pages: 314
Authors: Yun Gao
Categories: Mathematics
Type: BOOK - Published: 2010 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This volume contains the proceedings of the conference on Quantum Affine Algebras, Extended Affine Lie Algebras, and Applications, which was held at the Banff I