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The Gaussian distribution on R^n translates to infinite-dimensional (separable) Banach spaces by assuming the structure of an abstract Wiener space. The equivalent of the Gaussian distribution on Lie groups is called the heat kernel measure, named for its connection to a version of the Lie group equivalent of the heat equation.
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Non-classical Lie symmetries for nonlinear time-fractional Heisenberg equations
Mathematical Methods in the Applied Sciences, 2022Ali Haji-Badali +2 more
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New irreducible modules for Heisenberg and affine Lie algebras
Journal of Algebra, 2013Iryna Kashuba +2 more
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The deformed twisted Heisenberg–Virasoro type Lie bialgebra
Communications in Algebra, 2020Huanxia Fa, Junbo Li
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Cohomology and deformations for the Heisenberg Hom-Lie algebras
Linear and Multilinear Algebra, 2019Maria Alejandra Alvarez
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The Betti numbers for Heisenberg Lie algebras
Journal of Algebraic Combinatorics, 2019Maria Alejandra Alvarez
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Generalised Beurling's theorem on Heisenberg motion group and two step nilpotent Lie groups
Journal of Mathematical Analysis and ApplicationsShubhankar Ghosh, Suparna Sen
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Lie symmetry analysis of the Heisenberg equation
Communications in Nonlinear Science and Numerical Simulation, 2017Qinglong He, Zhonglong Zhao
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