On Jordan Blocks of Elements of Orderpin Irreducible Representations of Classical Groups withp-Large Highest Weights

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ON AN ASYMPTOTIC BEHAVIOR OF ELEMENTS OF ORDER p IN IRREDUCIBLE REPRESENTATIONS OF THE CLASSICAL ALGEBRAIC GROUPS WITH LARGE ENOUGH HIGHEST WEIGHTS

The behavior of the images of a fixed element of order p in irreducible representations of a classical algebraic group in characteristic p with highest weights large enough with respect to p and this element is investigated. More precisely, let G be a classical algebraic group of rank r over an algebraically closed field K of characteristic p > 2. Assume that an element x ∈ G of order p is conj...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 1997

ISSN: 0021-8693

DOI: 10.1006/jabr.1996.6916