Abstract After reviewing briefly the basic notions of Lie algebras and Lie algebra representations, we delve into the construction of finite-dimensional representations of the general linear Lie algebra, 𝖌𝖑(𝑛). We will find some (in fact, all) of the finite-dimensional 𝖌𝖑(𝑛)-modules in the complex polynomial algebra, ℂ[𝑿], in the indeterminates in the 𝑛×𝑛 matrix and establish some combinatorics with Young tableaux.
타이거 세미나
제목 | (영문발표 20180109 Finite-dimensional 𝖌𝖑(𝑛)-modules) 서해윤 발표자료 |
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첨부 |
BK세미나 20180109 서해윤.jpg
BK seminar HaeYun Seo 20180109.pdf |