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GENERICALLY FREE REPRESENTATIONS III: EXTREMELY BAD CHARACTERISTIC

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In parts I and II, we determined which faithful irreducible representations V of a simple linear algebraic group G are generically free for Lie(G), i.e., which V have an open subset consisting of vectors whose stabilizer in Lie(G) is zero, with some assumptions on the characteristic of the field. This paper settles the remaining cases, which are of a different nature because Lie(G) has a more complicated structure and there need not exist general dimension bounds of the sort that exist in good characteristic.

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Correspondence to SKIP GARIBALDI.

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ROBERT M. GURALNICK is partially supported by NSF grants DMS-1600056 and DMS-1901595.

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GARIBALDI, S., GURALNICK, R.M. GENERICALLY FREE REPRESENTATIONS III: EXTREMELY BAD CHARACTERISTIC. Transformation Groups 25, 819–841 (2020). https://doi.org/10.1007/s00031-020-09590-4

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  • DOI: https://doi.org/10.1007/s00031-020-09590-4

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