Minimum polynomials and lower bounds for eigenvalue multiplicities of prime-power order elements in representations of classical groups

DOI10.1006/jabr.2001.8837zbMath1017.20036OpenAlexW2090001663MaRDI QIDQ5949421

Alexander E. Zalesskij, Lino Di Martino

Publication date: 2 March 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.8837

zbMATH Keywords

eigenvaluescross characteristic representationselements of prime power orderHall-Higman theoremminimum polynomials

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Related Items

Hall-Higman type theorems for exceptional groups of Lie type. I, On spectra of covers of finite simple classical groups., On groups having the prime graph as alternating and symmetric groups, Almost cyclic elements in cross-characteristic representations of finite groups of Lie type, On Regular Orbits of Elements of Classical Groups in Their Permutation Representations, On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups., Cross characteristic representations of symplectic and unitary groups, Almost recognizability by spectrum of simple exceptional groups of Lie type.

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