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Some representations of exceptional Lie algebras

In: Geometries and Groups

Author

Listed:
  • Peter B. Gilkey

    (University of Oregon, Dept. of Math.)

  • Gary M. Seitz

    (University of Oregon, Dept. of Math.)

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.

Suggested Citation

  • Peter B. Gilkey & Gary M. Seitz, 1988. "Some representations of exceptional Lie algebras," Springer Books, in: M. Aschbacher & A. M. Cohen & W. M. Kantor (ed.), Geometries and Groups, pages 407-416, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-4017-8_14
    DOI: 10.1007/978-94-009-4017-8_14
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