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• W1982394893 endingPage "405202" @default.
• W1982394893 startingPage "405202" @default.
• W1982394893 abstract "Specializations of Schur functions are exploited to define and evaluate the Schur functions s_lambda[alpha X] and plethysms s_lambda[alpha s_nu(X))] for any alpha - integer, real or complex. Plethysms are then used to define pairs of mutually inverse infinite series of Schur functions, M_pi and L_pi, specified by arbitrary partitions pi. These are used in turn to define and provide generating functions for formal characters, s_lambda^{(pi)}, of certain groups H_pi, thereby extending known results for orthogonal and symplectic group characters. Each of these formal characters is then given a vertex operator realization, first in terms of the series M=M_{(0)} and various L_sigma^perp dual to L_sigma, and then more explicitly in exponential form. Finally the replicated form of such vertex operators are written down." @default.
• W1982394893 created "2016-06-24" @default.
• W1982394893 creator A5009628379 @default.
• W1982394893 creator A5056333599 @default.
• W1982394893 creator A5083842538 @default.
• W1982394893 date "2010-09-09" @default.
• W1982394893 modified "2023-09-26" @default.
• W1982394893 title "Plethysms, replicated Schur functions and series, with applications to vertex operators" @default.
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• W1982394893 doi "https://doi.org/10.1088/1751-8113/43/40/405202" @default.
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