6533b86ffe1ef96bd12cdeba

RESEARCH PRODUCT

Degrees of irreducible characters of the symmetric group and exponential growth

Antonio GiambrunoS. Mishchenko

subject

CharacterPower sum symmetric polynomialGeneral MathematicsApplied MathematicsMathematicsofComputing_GENERALComplete homogeneous symmetric polynomialExponential polynomialExponential growthCombinatoricsRepresentation theory of the symmetric groupSymmetric groupElementary symmetric polynomialMathematics (all)Ring of symmetric functionsCharacter groupSymmetric groupMathematics

description

We consider sequences of degrees of ordinary irreducible S n S_n - characters. We assume that the corresponding Young diagrams have rows and columns bounded by some linear function of n n with leading coefficient less than one. We show that any such sequence has at least exponential growth and we compute an explicit bound.

10.1090/proc/12758http://hdl.handle.net/10447/219021