View source for Bott cannibalistic class

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In mathematics, the '''Bott cannibalistic class''', introduced by {{harvs|txt|first=Raoul|last=Bott|year=1962|authorlink=Raoul Bott}}, is an  element <math>\theta_k(V)</math> of the [[representation ring]] of a [[compact Lie group]] that describes the action of the [[Adams operation]] <math>\psi^k</math> on the [[Thom class]] <math>\lambda_V</math> of a complex [[Representation of a Lie group|representation]] <math>V</math>. The term "cannibalistic" for these classes was introduced by {{harvs|txt|first=Frank|last=Adams|authorlink=Frank Adams|year=1965|loc=p.151}}.
==References==
*{{citation|first=J. Frank |last=Adams|authorlink=Frank Adams| title=On the groups <math>J(X)</math>. II.|journal=[[Topology (journal)|Topology]] |volume=3|year=1965|issue=2|doi=10.1016/0040-9383(65)90040-6|pages=137–171|mr=0198468|doi-access=free}}
*{{Citation | last1=Bott | first1=Raoul | author1-link=Raoul Bott | title=A note on the KO-theory of sphere-bundles | doi=10.1090/S0002-9904-1962-10819-2  | mr=0153019  | year=1962 | journal=[[Bulletin of the American Mathematical Society]] | issn=0002-9904 | volume=68 | issue=4 | pages=395–400| doi-access=free }}
[[Category:Representation theory]]
[[Category:K-theory]]
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