6533b86ffe1ef96bd12cdeba
RESEARCH PRODUCT
Degrees of irreducible characters of the symmetric group and exponential growth
Antonio GiambrunoS. Mishchenkosubject
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 groupMathematicsdescription
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.
year | journal | country | edition | language |
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2015-10-06 |