From Littlewood-Richardson Coefficients to Cluster Algebras in Three Lectures
From Littlewood-Richardson Coefficients to Cluster Algebras in Three Lectures
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三讲从 Littlewood-Richardson 系数到簇代数
DOI：
10.1007/978-94-010-0524-1_7
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
A. Zelevinsky
中科院分区：
文献类型：
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作者：
A. Zelevinsky
Lecture I presents a unified expression from [4] for generalized Littlewood- Richardson coefficients (= tensor product multiplicities) for any complex semisimple Lie algebra. Lecture II outlines a proof of this result; the main idea of the proof is to relate the LR-coefficients with canonical bases and total positivity. Lecture III introduces cluster algebras, a new class of commutative algebras defined in [9] in an attempt to create an algebraic framework for canonical bases and total positivity
