geometric representation theory
representation, 2-representation, ∞-representation
Grothendieck group, lambda-ring, symmetric function, formal group
principal bundle, torsor, vector bundle, Atiyah Lie algebroid
Eilenberg-Moore category, algebra over an operad, actegory, crossed module
Be?linson-Bernstein localization?
The representation theory of the special unitary group.
The irreps of are those polynomial irreps of GL(n,C), hence those irreps of , which are labeled by partitions/Young diagrams with .
(e.g. Peluse 14, p. 14))
hook length formula | hook-content formula |
---|---|
number of standard Young tableaux | number of semistandard Young tableaux |
dimension of irreps of Sym(n) | dimension of irreps of SL(n) |
Shlomo Sternberg, Section 5 of: Group Theory and Physics, Cambridge University Press 1994
Sarah Peluse, Irreducible representations of with prime power degree, Séminaire Lotharingien de Combinatoire 71 (2014), Article B71d (pdf)
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