In his book [The Theory of Group Characters, 2nd edition, Clarendon, Oxford, 1950], D.E. Littlewood showed that, under certain change of variables, the Schur function factorizes into those indexed by the quotient of the partition. In this paper we discuss the factorization of Schur functions of vari
Factorization of Schur'sQ-Functions and Plethysm
โ Scribed by Hiroshi Mizukawa
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 109 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0218-0006
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๐ SIMILAR VOLUMES
Let Fc denote the basic quasi-symmetric functions, in Gessel's notation (1984) (C any composition). The plethysm sz oFc is a positive linear combination of functions Fo. Under certain conditions, the image under the involution ~o of a quasi-symmetric function defined by equalities and inequalities o
We introduce and study a class of symmetric functions that depend on a parameter q, which includes symmetric functions that have already appeared in the literature in connection with Jack symmetric functions, parking functions, and lattices of noncrossing partitions. Our results generalize previous