Functors of white noise associated to characters of the infinite symmetric group

DOI10.1007/s00220-002-0687-2zbMath1001.81041OpenAlexW2914372932MaRDI QIDQ1849421

Madalin I. Guta, Marek Bożejko

Publication date: 1 December 2002

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-002-0687-2

Mathematics Subject Classification ID

White noise theory (60H40) Applications of selfadjoint operator algebras to physics (46L60) Many-body theory; quantum Hall effect (81V70) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Operator algebra methods applied to problems in quantum theory (81R15) Representations of infinite symmetric groups (20C32)

Related Items (11)

Anyonic Fock Spaces, q-CCR Relations for $$|q|\;=\;1$$ and Relations with Yang–Baxter Operators ⋮ Hopf monoids, permutohedral cones, and generalized retarded functions ⋮ Fock space associated with quadrabasic Hermite orthogonal polynomials ⋮ The normal distribution is \(\boxplus\)-infinitely divisible ⋮ On subfactors arising from asymptotic representations of symmetric groups ⋮ BESSIS–MOUSSA–VILLANI CONJECTURE AND GENERALIZED GAUSSIAN RANDOM VARIABLES ⋮ CUMULANTS IN NONCOMMUTATIVE PROBABILITY THEORY III: CREATION AND ANNIHILATION OPERATORS ON FOCK SPACES ⋮ Fock space associated to Coxeter groups of type B ⋮ A central limit theorem for star-generators of \({S}_{\infty }\), which relates to the law of a GUE matrix ⋮ A central limit theorem for star-generators of S∞, which relates to traceless CCR-GUE matrices ⋮ Reflection length with two parameters in the asymptotic representation theory of type B/C and applications

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