6 Signed Differential Posets and Sign - Imbalance
نویسنده
چکیده
We study signed differential posets, a signed version of differential posets. These posets satisfy enumerative identities which are signed analogues of those satisfied by differential posets. Our main motivations are the sign-imbalance identities for partition shapes originally conjectured by Stanley, now proven in [4, 5, 7]. We show that these identities result from a signed differential poset structure on Young’s lattice, and explain similar identities for Fibonacci shapes.
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N ov 2 00 6 SIGNED DIFFERENTIAL POSETS AND SIGN - IMBALANCE
We study signed differential posets, a signed version of Stanley’s differential posets. These posets satisfy enumerative identities which are signed analogues of those satisfied by differential posets. Our main motivations are the sign-imbalance identities for partition shapes originally conjectured by Stanley, now proven in [3, 4, 6]. We show that these identities result from a signed differen...
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