Computing Kazhdan Constants by Semidefinite Programming

DOI10.1080/10586458.2017.1396509zbMath1420.22007arXiv1703.04555OpenAlexW2964274364MaRDI QIDQ5228847

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Publication date: 13 August 2019

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04555

zbMATH Keywords

semidefinite programmingKazhdan constantKazhdan's property (T)\(\tilde{A}_2\)-buildings

Mathematics Subject Classification ID

Semidefinite programming (90C22) Group rings (16S34) Unitary representations of locally compact groups (22D10)

Related Items (4)

On property (T) for \(\Aut(F_n)\) and \(\mathrm{SL}_n(\mathbb{Z})\) ⋮ Geometric structures in group theory. Abstracts from the workshop held February 27 -- March 5, 2022 ⋮ Group algebra criteria for vanishing of cohomology ⋮ \(\Aut(\mathbb{F}_5)\) has property \((T)\)

Cites Work

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• Subspace arrangements and property T.
• Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). I
• Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). II: The cases \(q=2\) and \(q=3\)
• The affine building of type \(\tilde A_ 2\) over a local field of characteristic two
• Triangle geometries
• Exact values of Kazhdan constants for some finite groups
• Property \((T)\) and \(\widetilde{A}_ 2\) groups
• The growth of nonpositively curved triangles of groups
• On \(L^2\)-cohomology and property (T) for automorphism groups of polyhedral cell complexes
• Kazhdan constants of some colored permutation groups.
• A geometric construction of panel-regular lattices for buildings of types \(\widetilde A_2\) and \(\widetilde C_2\).
• Kazhdan’s Property (T) via Semidefinite Optimization
• Triangle groups
• KAZHDAN CONSTANTS FOR SL_n(ℤ)
• NONCOMMUTATIVE REAL ALGEBRAIC GEOMETRY OF KAZHDAN’S PROPERTY (T)
• Formules de Matsushima, de Garland et propriété (T) pour des groupes agissant sur des espaces symétriques ou des immeubles
• On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow
• Finite Unitary Reflection Groups
• Bounded generation and Kazhdan's property (T)

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