数学物理学报(英文版)

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THE HEAT KERNEL ON THE CAYLEY HEISENBERG GROUP

栾静闻,朱赋鎏   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • 出版日期:2005-10-11 发布日期:2005-10-11
  • 基金资助:

    Supported by the National Nature Science Foundation of
    China (10261002)

THE HEAT KERNEL ON THE CAYLEY HEISENBERG GROUP

 LUAN Jing-Wen, SHU Fu-Liu   

  • Online:2005-10-11 Published:2005-10-11
  • Supported by:

    Supported by the National Nature Science Foundation of
    China (10261002)

摘要:

The authors obtain an explicit expression of the heat kernel for the Cayley
Heisenberg group of order n by using the stochastic integral method of Gaveau. Apart
from the standard Heisenberg group and the quaternionic Heisenberg group, this is the only
nilpotent Lie group on which an explicit formula for the heat kernel has been obtained.

Abstract:

The authors obtain an explicit expression of the heat kernel for the Cayley
Heisenberg group of order n by using the stochastic integral method of Gaveau. Apart
from the standard Heisenberg group and the quaternionic Heisenberg group, this is the only
nilpotent Lie group on which an explicit formula for the heat kernel has been obtained.

Key words: Cayley Heisenberg group, heat kernel, sub-Laplace operator

中图分类号: 

  • 22E30