Topic
Character (mathematics)
About: Character (mathematics) is a research topic. Over the lifetime, 46723 publications have been published within this topic receiving 411412 citations.
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TL;DR: In this article, the group algebra of the symmetric group and properties of the irreducible characters are used to derive combinatorial properties of embeddings of rooted maps in orientable surfaces of arbitrary genus.
Abstract: The group algebra of the symmetric group and properties of the irreducible characters are used to derive combinatorial properties of embeddings of rooted maps in orientable surfaces of arbitrary genus. In particular, we show that there exists, for each genus, a correspondence between the set of rooted quadrangulations and a set of rooted maps of all lower genera with a distinguished subset of vertices.
94 citations
TL;DR: A character formula for singly atypical modules of the lie superalgebra sl(m/n) Communications in Algebra: Vol. 18, No. 10, pp. 3453-3480 as discussed by the authors.
Abstract: (1990). A character formula for singly atypical modules of the lie superalgebra sl(m/n) Communications in Algebra: Vol. 18, No. 10, pp. 3453-3480.
94 citations
Book•
01 Jun 2013
94 citations
94 citations