Lie groups: Positive characteristic is weird

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This lecture is part of an online graduate course on Lie groups.

We give several examples to show that, over fields of positive characteristic, Lie algebras can behave strangely, and have a weaker connection to Lie groups. In particular the Lie algebra does not generate the ring of all invariant differential operators.

Richard E Borcherds

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„Positive characteristic is weird“ sums up every encounter with positive characteristic I've had so far.

lukasjuhrich

If you were willing to do it I would love to see a lecture series on algebraic groups

samhughes

18:50 - small typo I think - RHS should have powers m+1 and n+1 in the calculation of [Lm, Ln]. following line should have m+n+1 in the power of x. Final result is however correct.

anthonymurphy

In what sense are projective varieties "almost opposite" of affine varieties? (6:02)

vladkovalchuk

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