Composition laws via stacks: Difference between revisions

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b) Think about applications to composition laws
b) Think about applications to composition laws


   -- do comp laws hold over arbitrary rings?
   - do comp laws hold over arbitrary rings?


   -- try to use the "kernel thing" to generate new composition laws. (Need non-special groups. The usual setup uses pre-homogenous spaces. Maybe find some 'near misses' -- i.e., setups that people don't study because they don't give PHV's
   - try to use the "kernel thing" to generate new composition laws. (Need non-special groups. The usual setup uses pre-homogenous spaces. Maybe find some 'near misses' -- i.e., setups that people don't study because they don't give PHV's


   -- I don't really understand yet how people use composition laws to prove other cool theorems.
   - I don't really understand yet how people use composition laws to prove other cool theorems.


   -- Melanie and Dan's paper, references to Melanie's thesis, etc
   - Melanie and Dan's paper, references to Melanie's thesis, etc

Revision as of 07:40, 21 November 2011

Composition law paper todo:

a) Go over composition law proofs

b) Think about applications to composition laws

 - do comp laws hold over arbitrary rings?
 - try to use the "kernel thing" to generate new composition laws. (Need non-special groups. The usual setup uses pre-homogenous spaces. Maybe find some 'near misses' -- i.e., setups that people don't study because they don't give PHV's
 - I don't really understand yet how people use composition laws to prove other cool theorems.
 - Melanie and Dan's paper, references to Melanie's thesis, etc