Abstract
Let g be a complex reductive Lie algebra with an invariant symmetric bilinear form B, equal to the Killing form on the semisimple part of g. In this chapter we consider a parabolic subalgebra q = l ⊕ u of g, with unipotent radical u and a Levi subalgebra l. We will denote by
the opposite parabolic subalgebra. Here the bar notation does not mean complex conjugation in general, but it will be a conjugation in the cases we will study the most, so the notation is convenient.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2006 Birkhäuser Boston
About this chapter
Cite this chapter
(2006). Dirac Operators and Nilpotent Lie Algebra Cohomology. In: Dirac Operators in Representation Theory. Mathematics: Theory & Applications. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4493-2_9
Download citation
DOI: https://doi.org/10.1007/978-0-8176-4493-2_9
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3218-2
Online ISBN: 978-0-8176-4493-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)