kb/data/en.wikipedia.org/wiki/Bott_cannibalistic_class-0.md

title	chunk	source	category	tags	date_saved	instance
Bott cannibalistic class	1/1	https://en.wikipedia.org/wiki/Bott_cannibalistic_class	reference	science, encyclopedia	2026-05-05T12:04:23.003219+00:00	kb-cron

In mathematics, the Bott cannibalistic class, introduced by Raoul Bott (1962), is an element

      θ
      
        k
      
    
    (
    V
    )
  

{\displaystyle \theta _{k}(V)}

of the representation ring of a compact Lie group that describes the action of the Adams operation

      ψ
      
        k
      
    
  

{\displaystyle \psi ^{k}}

on the Thom class

      λ
      
        V
      
    
  

{\displaystyle \lambda _{V}}

of a complex representation

    V
  

{\displaystyle V}

. The term "cannibalistic" for these classes was introduced by Frank Adams.

== References ==

== Further reading == Bott, Raoul (1962), "A note on the KO-theory of sphere-bundles", Bulletin of the American Mathematical Society, 68 (4): 395–400, doi:10.1090/S0002-9904-1962-10819-2, ISSN 0002-9904, MR 0153019