Upper bounds for eigenvalue multiplicities of almost cyclic elements in irreducible representations of simple algebraic groups

DOI10.1007/s40879-023-00680-7zbMath1523.20082arXiv2302.01824MaRDI QIDQ6051909

Alexander E. Zalesskij

Publication date: 20 September 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.01824

zbMATH Keywords

representationsimple algebraic groupeigenvalue multiplicityregular element

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

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• Subgroups of simple algebraic groups containing regular tori, and irreducible representations with multiplicity 1 non-zero weights
• Singer-Zyklen in klassischen Gruppen
• Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block
• Weight zero in tensor-decomposable irreducible representations of simple algebraic groups
• Almost cyclic elements in cross-characteristic representations of finite groups of Lie type
• On the Steinberg character of an orthogonal group over a finite field
• Lectures on Chevalley Groups
• Overgroups of Cyclic Sylow Subgroups of Linear Groups
• On the Orders of Maximal Subgroups of the Finite Classical Groups
• The maximal subgroups of classical algebraic groups
• WEIGHTS OF INFINITESIMALLY IRREDUCIBLE REPRESENTATIONS OF CHEVALLEY GROUPS OVER A FIELD OF PRIME CHARACTERISTIC
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• Simple groups, permutation groups, and probability
• Linear Groups with Orders Having Certain Large Prime Divisors
• Almost cyclic elements in Weil representations of finite classical groups
• Visual Basic Representations
• A FRAGMENT OF THE DECOMPOSITION MATRIX OF THE SPECIAL UNITARY GROUP OVER A FINITE FIELD
• Small Degree Representations of Finite Chevalley Groups in Defining Characteristic
• FIXED VECTORS FOR ELEMENTS IN MODULES FOR ALGEBRAIC GROUPS

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