ITÔ–WIENER CHAOS AND THE HODGE DECOMPOSITION ON AN ABSTRACT WIENER SPACE

DOI10.1142/S0219025713500082zbMath1277.58002arXiv1111.1295MaRDI QIDQ2854016

Yuxin Yang

Publication date: 17 October 2013

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1295

zbMATH Keywords

Hodge decompositionsymmetric grouprepresentation theoryabstract Wiener spaceWiener chaos\(L^2\) cohomologyboson-fermion Fock space

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) de Rham theory in global analysis (58A12) Hodge theory in global analysis (58A14) Applications of group representations to physics and other areas of science (20C35) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Cites Work

• Unnamed Item
• Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory
• Potential theory on Hilbert space
• Multiple Wiener integral
• Specht modules and the radical of the group ring over the symmetric group γ_p
• SYMPLECTIC CONNECTIONS