Abstract
The basic result of this paper is the construction of two kind of bases \(\mathbb{B}(\lambda )\) and \(\mathbb{M}(\lambda )\) for simple finite dimensional representations V(λ) of a semisimple complex Lie algebra \(\mathfrak{g}\). The construction combines the combinatorics of LS-paths [4], the Weyl group combinatorics related to inclusions of Verma modules [1] and the structure of singular vectors in Verma modules [7].
Dedicated to Professor Seshadri on his 70th birthday
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© 2003 Hindustan Book Agency
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Littelmann, P. (2003). Bases for representations, LS-paths and Verma flags. In: Lakshmibai, V., et al. A Tribute to C. S. Seshadri. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-11-8_21
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DOI: https://doi.org/10.1007/978-93-86279-11-8_21
Publisher Name: Hindustan Book Agency, Gurgaon
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