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Skip to Search Results- 4Lie algebras
- 1R-matrix
- 1Root systems (Algebra)
- 1Semirings (Mathematics)
- 1Yangians
- 1polynomial current algebra
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Fall 2014
Chevalley's theorem on the conjugacy of split Cartan subalgebras is one of the cornerstones of the theory of simple finite dimensional Lie algebras over a field of characteristic 0. Indeed, this theorem affords the most elegant proof that the root system is an invariant of the Lie algebra. The...
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Representations of affine truncations of representation involutive-semirings of Lie algebras and root systems of higher type
DownloadSpring 2011
An important component of a rational conformal field theory is a representation of a certain involutive-semiring. In the case of Wess-Zumino-Witten models, the involutive-semiring is an affine truncation of the representation involutive-semiring of a finite-dimensional semisimple Lie algebra. ...
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Fall 2019
In the first part of this dissertation, we prove a generalization of a theorem of Drinfeld’s which allows one to rebuild the Yangian of an arbitrary simple Lie algebra starting from any of its finite-dimensional modules satisfying a non-triviality condition. This is achieved using the so-called...