Decomposition results for Gram matrix determinants

DOI10.1063/1.3511332zbMath1314.16023arXiv1009.4036OpenAlexW3100966313MaRDI QIDQ5254859

Teodor Banica, Stephen Curran

Publication date: 10 June 2015

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

Full work available at URL: https://arxiv.org/abs/1009.4036

zbMATH Keywords

symmetric groupscompact quantum groupsfree orthogonal quantum groupshyperoctahedral groupscategories of representationsGram matrix determinantshalf-liberated quantum groups

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Free probability and free operator algebras (46L54) Quantizations, deformations for selfadjoint operator algebras (46L65) Ring-theoretic aspects of quantum groups (16T20)

Related Items (7)

Dual bases in Temperley-Lieb algebras, quantum groups, and a question of Jones ⋮ Quantumness of pure-state ensembles via coherence of Gram matrix based on generalized \(\alpha\)-\(z\)-relative Rényi entropy ⋮ Gram matrices of quantum channels via quantum Fisher information with applications to decoherence and uncertainty ⋮ Super-easy quantum groups: definition and examples ⋮ Gram matrices of mixed-state ensembles ⋮ The orthogonal Weingarten formula in compact form ⋮ Quantum groups, from a functional analysis perspective

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