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Discrete Mathematics & Theoretical Computer Science |
The Schur functions in superspace $s_\Lambda$ and $\overline{s}_\Lambda$ are the limits $q=t= 0$ and $q=t=\infty$ respectively of the Macdonald polynomials in superspace. We present the elementary properties of the bases $s_\Lambda$ and $\overline{s}_\Lambda$ (which happen to be essentially dual) such as Pieri rules, dualities, monomial expansions, tableaux generating functions, and Cauchy identities.
Source : ScholeXplorer
IsRelatedTo ARXIV 1802.01705 Source : ScholeXplorer IsRelatedTo DOI 10.1007/s11005-018-1139-z Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1802.01705
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