AMS Bookstore LOGO amslogo
Return to List  Item: 1 of 1   
Lie Algebras Graded by the Root Systems BC\(_r\), \(r\geq 2\)
Bruce Allison, University of Alberta, Edmonton, AB, Canada, Georgia Benkart, University of Wisconsin, Madison, WI, and Yun Gao, York University, Toronto, ON, Canada

Memoirs of the American Mathematical Society
2002; 158 pp; softcover
Volume: 158
ISBN-10: 0-8218-2811-8
ISBN-13: 978-0-8218-2811-3
List Price: US$66
Individual Members: US$39.60
Institutional Members: US$52.80
Order Code: MEMO/158/751
[Add Item]

Request Permissions

We classify the Lie algebras of characteristic zero graded by the finite nonreduced root systems \(\mathrm{BC}_r\) for \(r \geq 2\) and determine their derivations, central extensions, and invariant forms.


Graduate students and research mathematicians interested in nonassociative rings and algebras.

Table of Contents

  • Introduction
  • The \(\mathfrak{g}\)-module decomposition of a \(\mathrm{BC}_r\)-graded Lie algebra, \(r\ge 3\) (excluding type \(\mathrm{D}_3)\)
  • Models for \(\mathrm{BC}_r\)-graded Lie algebras, \(r\ge 3\) (excluding type \(\mathrm{D}_3)\)
  • The \(\mathfrak{g}\)-module decomposition of a \(\mathrm{BC}_r\)-graded Lie algebra with grading subalgebra of type \(\mathrm{B}_2\), \(\mathrm{C}_2\), \(\mathrm{D}_2\), or \(\mathrm{D}_3\)
  • Central extensions, derivations and invariant forms
  • Models of \(\mathrm{BC}_r\)-graded Lie algebras with grading subalgebra of type \(\mathrm{B}_2\), \(\mathrm{C}_2\), \(\mathrm{D}_2\), or \(\mathrm{D}_3\)
  • Appendix: Peirce decompositions in structurable algebras
  • References
Powered by MathJax
Return to List  Item: 1 of 1   

  AMS Home | Comments:
© Copyright 2014, American Mathematical Society
Privacy Statement

AMS Social

AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia