Fock space associated to Coxeter groups of type B
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Publication:2517364
DOI10.1016/j.jfa.2015.06.026zbMath1321.81038arXiv1411.7997OpenAlexW1884589551MaRDI QIDQ2517364
Takahiro Hasebe, Wiktor Ejsmont, Marek Bożejko
Publication date: 18 August 2015
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.7997
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Bergman spaces and Fock spaces (30H20)
Related Items
Anyonic Fock Spaces, q-CCR Relations for $$|q|\;=\;1$$ and Relations with Yang–Baxter Operators ⋮ Positive definite functions on Coxeter groups with applications to operator spaces and noncommutative probability ⋮ Fock space associated with quadrabasic Hermite orthogonal polynomials ⋮ Fock representations of Q-deformed commutation relations ⋮ The double Fock space of type B ⋮ Noncommutative probability of type D ⋮ Poisson type operators on the Fock space of type B ⋮ A variance bound for a general function of independent noncommutative random variables ⋮ Radial Bargmann representation for the Fock space of type B ⋮ Stirling operators in spatial combinatorics ⋮ Non-commutative probability and non-commutative processes: Beyond the Heisenberg algebra ⋮ Type B Gaussian statistics as noncommutative central limits ⋮ Permutations, Moments, Measures ⋮ Reflection length with two parameters in the asymptotic representation theory of type B/C and applications
Cites Work
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- Fourth moment theorem and \(q\)-Brownian chaos
- Noncommutative Lévy processes for generalized (particularly anyon) statistics
- Free probability for pairs of faces. I
- Free monotone transport
- The normal distribution is \(\boxplus\)-infinitely divisible
- Factoriality of Bożejko-Speicher von Neumann algebras
- An example of a generalized Brownian motion
- Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.
- Infinitesimal non-crossing cumulants and free probability of type B
- Addition of certain non-commuting random variables
- Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
- \(q\)-Gaussian processes: Non-commutative and classical aspects
- Free hypercontractivity
- Free quasi-free states
- Non-crossing partitions for classical reflection groups
- Free martingale polynomials.
- Symmetric Hilbert spaces arising from species of structures
- Generalised Brownian motion and second quantisation
- The \((q, t)\)-Gaussian process
- Generalized statistics of macroscopic fields
- Functors of white noise associated to characters of the infinite symmetric group
- Stochastic integration with respect to \(q\) Brownian motion
- Non-injectivity of the \(q\)-deformed von Neumann algebra
- Interpolations between bosonic and fermionic relations given by generalized Brownian motions
- Wick product for commutation relations connected with Yang-Baxter operators and new constructions of factors
- Free monotone transport without a trace
- Free infinite divisibility for \(q\)-Gaussians
- The bi-Poisson process: A quadratic harness
- The von Neumann algebras generated by \(t\)-Gaussians
- On a class of free Lévy laws related to a regression problem
- Factoriality of \(q\)-Gaussian von Neumann algebras
- On free infinite divisibility for classical Meixner distributions
- Free probability of type <i>B</i>: analytic interpretation and applications
- Differential independence via an associative product of infinitely many linear functionals
- NONCOMMUTATIVE BROWNIAN MOTIONS INDEXED BY PARTIALLY ORDERED SETS
- Probability interpolating between free and boolean
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Quadratic harnesses, $q$-commutations, and orthogonal martingale polynomials
- Interacting Fock Spaces and Gaussianization of Probability Measures
- Non-crossing cumulants of type B
- Higher order infinitesimal freeness
- Classical versions of \(q\)-Gaussian processes: Conditional moments and Bell's inequality
- Partition-dependent stochastic measures and \(q\)-deformed cumulants
- Remarks on \(t\)-transformations of measures and convolutions
- Free probability for pairs of faces. II: \(2\)-variables bi-free partial \(R\)-transform and systems with rank \(\leq1\) commutation
