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math.CO2011★ 4 cited
The first term of plethysms
Kazuto Iijima
Plethysm of two Schur functions can be expressed as a linear combination of Schur functions, and monomial symmetric functions. In this paper, we express the coefficients combinator…
math.RT2011
A -multinomial expansion of LLT coefficients and plethysm multiplicities
Kazuto Iijima
Lascoux, Leclerc and Thibon\cite{LLT} introduced a family of symmetric polynomials, called LLT polynomials. We prove a -multinomial expansion of the coefficients of LLT polynomi…
math.RT2011
A comparison of q-decomposition numbers in the q-deformed Fock spaces of higher levels
Kazuto Iijima
The q-deformed Fock spaces of higher levels were introduced by Jimbo-Misra-Miwa-Okado. The q-decomposition matrix is a transition matrix from the standard basis to the canonical ba…