Vertex Operators for Standard Bases of the Symmetric Functions
نویسنده
چکیده
Using the notation of [3], we will consider the power {pλ[X]}λ, Schur {sλ[X]}λ, monomial {mλ[X]}λ, homogeneous {hλ[X]}λ, elementary {eλ[X]}λ and forgotten {fλ[X]}λ bases for the symmetric functions. We will often appeal to [3] for proofs of identities relating these bases. These bases are all indexed by partitions, non-increasing sequences of non-negative integers. The i entry of the partition will be denoted by λi. The length of a partition λ is the largest i such that λi is non-zero and will be denoted by l(λ). The size of the partition will be denoted by |λ| and is equal to the sum over all the entries of λ. The symbol ni(λ)
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