一类保形不变微分方程组II: A型方程组的进一步研究

IF 0.3 Q4 MATHEMATICS Tsukuba Journal of Mathematics Pub Date : 2015-07-01 DOI:10.21099/TKBJM/1438951817
A. Kable
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引用次数: 0

摘要

构造了几个微分算子系统,并对它们进行了研究。在合理的意义上,这些系统是Folland和Stein引入的Heisenberg Laplacian算子的推广。特别是,它们承认大群的共形对称性;各种实形式的特殊线性群,甚至特殊正交群,以及E6型的例外群都在这种能力中出现。
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On certain conformally invariant systems of differential equations II: Further study of type A systems
Several systems of differential operators are constructed and their study is commenced. These systems are generalizations, in a reasonable sense, of the Heisenberg Laplacian operators introduced by Folland and Stein. In particular, they admit large groups of conformal symmetries; various real form of the special linear groups, even special orthogonal groups, and the exceptional group of type E6 appear in this capacity.
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