Bott cannibalistic class

Short description: Element of the representation ring

In mathematics, the Bott cannibalistic class, introduced by Raoul Bott (1962), is an element ${\theta }_k(V)$ of the representation ring of a compact Lie group that describes the action of the Adams operation ${\psi }^k$ on the Thom class ${\lambda }_V$ of a complex representation $V$. The term "cannibalistic" for these classes was introduced by Frank Adams.

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