1306.0550 (Keith Burghardt)

Creating Lie Algebra Generators And Robust Messages With Adinkras    [PDF]

Keith Burghardt

Adinkras are graphs that can describe off-shell supermultiplets in 1 dimension that represent a Lie algebra known as ``Garden" algebra. In this paper, I show that the degrees of freedom of the adinkra can be represented by a smaller graph called a baobab. Because the structure of adinkras and baobabs are very general, I will show that all generators of finite dimensional Lie algebras over a field of characteristic 0 can be similarly described by a generalized ``Lie" adinkra and ``Lie" baobab. Lastly, it will be shown that Lie adinkras can represent forward error correction block codes, with messages carried by their underlying baobab.

View original: http://arxiv.org/abs/1306.0550