Some representations of exceptional Lie algebras

Peter B. Gilkey and Gary M. Seitz
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Peter B. Gilkey: University of Oregon, Dept. of Math.
Gary M. Seitz: University of Oregon, Dept. of Math.

A chapter in Geometries and Groups, 1988, pp 407-416 from Springer

Abstract: Abstract In this note, we give the dimensions of some irreducible representations of exceptional Lie algebras and algebraic groups. Similar results appear in [1] for classical groups and algebras of rank at most 4. These results were produced by computer programs developed in connection with [3], where the main result required information beyond the tables in [1]. In view of the utility of the tables in [1], it seemed worthwhile to provide tables for groups of higher rank. Although our methods are similar to those of [l], they incorporate a reduction process which permits us to push the techniques a bit further.

Date: 1988
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DOI: 10.1007/978-94-009-4017-8_14

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