Undergraduate Honors Theses

Thesis Defended

Spring 2013

Document Type

Thesis

Department

Mathematics

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).

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