Limit Jordan normal form of large triangular matrices over a finite field

DOI10.1007/BF01077476zbMath0860.15009OpenAlexW1985694123MaRDI QIDQ1921880

Alexei Borodin

Publication date: 3 September 1996

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077476

zbMATH Keywords

finite fieldlarge triangular matriceslimit Jordan normal form

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Canonical forms, reductions, classification (15A21)

Related Items (12)

A super-class walk on upper-triangular matrices ⋮ Asymptotics of the Jordan normal form of a random nilpotent matrix ⋮ HALF-SPACE MACDONALD PROCESSES ⋮ Macdonald-positive specializations of the algebra of symmetric functions: proof of the Kerov conjecture ⋮ Finite traces and representations of the group of infinite matrices over a finite field ⋮ Rook placements and Jordan forms of upper-triangular nilpotent matrices ⋮ Observables of Macdonald processes ⋮ Law of large numbers for infinite random matrices over a finite field ⋮ The eigenvalue distribution of a random unipotent matrix in its representation on lines ⋮ A probabilistic approach to conjugacy classes in the finite symplectic and orthogonal groups ⋮ Jordan types of triangular matrices over a finite field ⋮ Finite affine groups: cycle indices, Hall-Littlewood polynomials, and probabilistic algorithms

Cites Work

• Asymptotic theory of characters of the symmetric group
• Unnamed Item

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