Loops in SL(2, ℂ) and root subgroup factorization

DOI10.1142/S2010326318500089zbMath1402.22022arXiv1707.01437MaRDI QIDQ4961411

Doug Pickrell, Estelle L. Basor

Publication date: 29 October 2018

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01437

zbMATH Keywords

Toeplitz operatorsloop groupsroot subgroup and triangular factorization

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (3)

Exponential of the \(S^1\) trace of the free field and Verblunsky coefficients ⋮ Conversations with Flaschka: Kac-Moody groups and Verblunsky coefficients ⋮ Loops in \(SU(2)\) and factorization. II

Cites Work

• Loops in \(\mathrm{SU}(2)\), Riemann surfaces, and factorization. I.
• Factorization of matrix functions and singular integral operators
• Asymptotic behavior of block Toeplitz matrices and determinants. II
• Loops in \(SU(2)\) and factorization
• The elementary theory of finite fields
• Unitary loops and factorization
• Injective Polynomial Maps are Automorphisms
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