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

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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).
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  • 2013-04-09
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  • 2019-12-02
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