Twisted traces and positive forms on generalized \(q\)-Weyl algebras

DOI10.3842/SIGMA.2022.009MaRDI QIDQ2078966

Daniil Klyuev

Publication date: 4 March 2022

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12652

zbMATH Keywords

tracequantizationinner productstar-product

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Deformation quantization, star products (53D55)

Related Items (2)

Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras ⋮ Twisted traces and positive forms on quantized Kleinian singularities of type A

Cites Work

• The current distribution of the multiparticle hopping asymmetric diffusion model
• Asymmetric simple exclusion process and modified random matrix ensembles
• Integral formulas for the asymmetric simple exclusion process
• On the TASEP with second class particles
• Probability distributions of multi-species \(q\)-TAZRP and ASEP as double cosets of parabolic subgroups
• On the asymmetric simple exclusion process with multiple species
• Determinant representation for some transition probabilities in the TASEP with second class particles
• Distributions of a particle's position and their asymptotics in the \(q\)-deformed totally asymmetric zero range process with site dependent jumping rates
• Color-position symmetry in interacting particle systems
• Determinantal expressions in multi-species TASEP
• Exact formulas of the transition probabilities of the multi-species asymmetric simple exclusion process
• On the distribution of a second-class particle in the asymmetric simple exclusion process
• Some conditional probabilities in the TASEP with second class particles
• Blocks and gaps in the asymmetric simple exclusion process: Asymptotics
• The transition probability and the probability for the left-most particle's position of the q-totally asymmetric zero range process
• Bethe ansatz and current distribution for the TASEP with particle-dependent hopping rates
• Braid Groups
• Distribution of a particle's position in the ASEP with the alternating initial condition

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