On an infinite-dimensional limit of the Steinberg representations.

DOI10.1007/s10958-014-1963-3zbMath1337.20050arXiv1406.6535OpenAlexW2032755928MaRDI QIDQ2256651

Yuriĭ A. Neretin

Publication date: 20 February 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6535

zbMATH Keywords

unitary representationsreproducing kernelsclassical groups over finite fieldsSteinberg representationinfinite-dimensional groups

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Other matrix groups over finite fields (20H30)

Related Items (1)

Groups \(\mathrm{GL}(\infty)\) over finite fields and multiplications of double cosets

Cites Work

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• Lectures on Gaussian integral operators and classical groups
• On an infinite-dimensional group over a finite field
• The space \(L^2\) on semi-infinite Grassmannian over finite field
• Finite traces and representations of the group of infinite matrices over a finite field
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• The Steinberg representation
• Infinite Tri-symmetric Group, Multiplication of Double Cosets, and Checker Topological Field Theories
• Integrable potentials on spaces with curvature from quantum groups

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