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- W2081008545 abstract "In this paper, we analyze the characters of modular, irreducible rep-resentations of classical Lie algebras g of types Al-1 and Ci arising from a characteristic 0 construction of torsion free representations. By character, we refer to linear functionals on g identified with algebra homomorphisms from a distinguished central subalgebra O of the universal enveloping algebra of g. If Lie(G') = g, then for each character X standard representatives with respect to a fixed toral subalgebra are found in the (2-orbit containing the character X For many parameters, these characters are nilpotent. Furthermore, modular representations of type Al-1 and type Cl Lie algebras constructed by induction from these irreducible, torsion free representations are shown to admit characters in a family of both Richardson and non-Richardson nilpotent orbits. Through this explicit induction construction, irreducible representations of minimal p-power dimension under the Kac-Weisfeiler conjecture are realized" @default.
- W2081008545 created "2016-06-24" @default.
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- W2081008545 date "1994-01-01" @default.
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- W2081008545 title "Characters of modular torsion free representations of classical lie algebras" @default.
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- W2081008545 doi "https://doi.org/10.1080/00927879408825106" @default.
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