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- W1968258943 abstract "We give a bijective proof of an identity relating primed shifted gl(n)-standard tableaux to the product of a gl(n) character in the form of a Schur function and ({prod_{1leq i < j leq n} (x_i + y_j)}). This result generalises a number of well-known results due to Robbins and Rumsey, Chapman, Tokuyama, Okada and Macdonald. An analogous result is then obtained in the case of primed shifted sp(2n)-standard tableaux which are bijectively related to the product of a t-deformed sp(2n) character and ({prod_{1leq i < j leq n}(x_i+t^2x_i^{-1}+y_j+t^2y_j^{-1})}). All results are also interpreted in terms of alternating sign matrix (ASM) identities, including a result regarding subsets of ASMs specified by conditions on certain restricted column sums." @default.
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- W1968258943 date "2006-12-06" @default.
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- W1968258943 title "Bijective proofs of shifted tableau and alternating sign matrix identities" @default.
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- W1968258943 doi "https://doi.org/10.1007/s10801-006-0044-1" @default.
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