Undergraduate Honors Thesis
Properties of the g-Invariant Bilinear Form on the Spin Representations of the Simple Lie Algebras of Type Dn and Bn Public Deposited
Downloadable Content
Download PDF
https://scholar.colorado.edu/concern/undergraduate_honors_theses/v692t664d
- Abstract
- The spin modules for the Lie algebras of type Dn and Bn are constructed through minuscule systems. It is shown that the unique (up to multiplication by a nonzero scalar) g-invariant bilinear form on the modules is nondegenerate. By defining an equation for the height of weights of the modules, it is shown that the bilinear form is symplectic when n = 1 or 2(mod 4), and orthogonal when n = 0 or 3(mod 4).
- Creator
- Date Awarded
- 2013-04-09
- Academic Affiliation
- Granting Institution
- Subject
- Last Modified
- 2019-12-02
- Resource Type
- Rights Statement
- Language
Relationships
- In Collection:
Items
Thumbnail | Title | Date Uploaded | Visibility | Actions |
---|---|---|---|---|
propertiesOfTheGInvariantBilinearFormOnTheSpinRepresent.pdf | 2019-11-19 | Public | Download |