Xiaoming Wang
Abstract
The global crystal basis or canonical basis plays an important role in the theory of the quantum groups and their representations. The tight monomials are the simplest elements in the canonical basis. Based on Reineke, Deng, and Du's work, the tight monomials in quantized enveloping algebra of type G2 and A3 are completely determined in this article.
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The global crystal basis or canonical basis plays an important role in the theory of the quantum groups and their representations. The tight monomials are the simplest elements in the canonical basis. Based on Reineke, Deng, and Du's work, the tight monomials in quantized enveloping algebra of type G2 and A3 are completely determined in this article.
Key concepts: Monomial, Standard basis, Mathematics, Monomial basis, Preprint, Basis (linear algebra), Type (biology), Algebra over a field