Skew quantum Murnaghan-Nakayama rule

In this extended abstract, we extend recent results of Assaf and McNamara, the skew Pieri rule and the skew Murnaghan-Nakayama rule, to a more general identity, which gives an elegant expansion of the product of a skew Schur function with a quantum power sum function in terms of skew Schur functions...

وصف كامل

التفاصيل البيبلوغرافية
الحاوية / القاعدة:Discrete Mathematics & Theoretical Computer Science
المؤلف الرئيسي: Matjaž Konvalinka
التنسيق: مقال
اللغة:الإنجليزية
منشور في: Discrete Mathematics & Theoretical Computer Science 2011-01-01
الموضوعات:
murnaghan-nakayama rule
pieri rule
skew tableaux
schur functions
q-analogue
[math.math-co] mathematics [math]/combinatorics [math.co]
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
الوصول للمادة أونلاين:https://dmtcs.episciences.org/2936/pdf
الوصف
الملخص:In this extended abstract, we extend recent results of Assaf and McNamara, the skew Pieri rule and the skew Murnaghan-Nakayama rule, to a more general identity, which gives an elegant expansion of the product of a skew Schur function with a quantum power sum function in terms of skew Schur functions. We give two proofs, one completely bijective in the spirit of Assaf-McNamara's original proof, and one via Lam-Lauve-Sotille's skew Littlewood-Richardson rule.
تدمد:1365-8050

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