\(C^{\ast}\)-non-linear second quantization
DOI10.1007/s00023-015-0439-4zbMath1342.81623OpenAlexW2962940468MaRDI QIDQ2628875
Publication date: 18 July 2016
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00023-015-0439-4
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantization in field theory; cohomological methods (81T70) Applications of selfadjoint operator algebras to physics (46L60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Inductive and projective limits in functional analysis (46M40) Multilinear and polynomial operators (47H60)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Four dimensional symplectic Lie algebras
- Quantum probability, renormalization and infinite-dimensional *-Lie algebras
- Quadratic bosonic and free white noises.
- Renormalization and central extensions
- The smallest C\(^*\)-algebra for canonical commutation relations
- Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras
- Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space
- SQUARES OF WHITE NOISE, SL(2, ℂ) AND KUBO–MARTIN–SCHWINGER STATES
- White Noise Approach to stochastic integration
- Polynomial Extensions of the Weyl C*-Algebra
- Representations of the Schrödinger algebra and Appell systems
- The quadratic Fock functor
- SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA
- COHOMOLOGY OF THE VIRASORO–ZAMOLODCHIKOV AND RENORMALIZED HIGHER POWERS OF WHITE NOISE *-LIE ALGEBRAS
- Addenda: Complete Boolean algebras of type {${\rm I}$} factors
This page was built for publication: \(C^{\ast}\)-non-linear second quantization
