Kazhdan-Lusztig Conjecture for A Symmetrizable Kac-Moody Lie Algebra

Kazhdan-Lusztig Conjecture for A Symmetrizable Kac-Moody Lie Algebra
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可对称 Kac-Moody 李代数的 Kazhdan-Lusztig 猜想

DOI:
10.1007/978-0-8176-4575-5_10
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发表时间:
2007
期刊:
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影响因子:
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通讯作者:
M. Kashiwara
M. Kashiwara
中科院分区:
--
文献类型:
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作者:
M. Kashiwara

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近年来,随着数学物理的发展,研究无限自由度系统变得越来越重要。在[K]中,我们研究了无限维流形的一个典型情形--Kac-Moody李代数的旗簇。研究表明,A. Grothendieck又是处理无限维流形的最合适的代数工具。
In recent years, with the progress of mathematical physics, it becomes more and more important to study systems with infinite freedom. In [K], we studied the flag variety of Kac-Moody Lie algebras, as a typical case of an infinite-dimensional manifold. By that study, it is revealed that the most natural language of scheme introduced by A. Grothendieck is again the most appropriate algebraic tool to deal with an infinite-dimensional manifold.