منابع مشابه
Noncommutative Cyclic Characters of Symmetric Groups
We deene noncommutative analogues of the characters of the symmetric group which are induced by transitive cyclic subgroups (cyclic characters). We investigate their properties by means of the formalism of noncommutative symmetric functions. The main result is a multiplication formula whose commutative projection gives a combinatorial formula for the resolution of the Kronecker product of two c...
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For each n and k, let rfr' denote the poset of all partitions of n having every block size congruent to / mod k. Attach to n£•*' a unique maximal or minimal element if it does not already have one, and denote the resulting poset U%-\ Results of Bjorner, Sagan, and Wachs show that Yl^' and nj, are lexicographically shellable, and hence Cohen-Macaulay. Let /3^ and /jl' * denote the characters of ...
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In the paper we completely describe characters (central positive-definite functions) of simple locally finite groups that can be represented as inductive limits of (products of) symmetric groups under block diagonal embeddings. Each such group G defines an infinite graded graph that encodes the embedding scheme. The group G acts on the space X of infinite paths of the associated graph by changi...
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In order to answer the question “what is the asymptotic theory of representations of Sn” we will present two concrete problems. In both cases the solution requires a good understanding of the product (convolution) of conjugacy classes in the symmetric group and we will present a combinatorial setup for explicit calculation of such products. The asymptotic behavior of each summand in our expansi...
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phatic communion is a cultural concept which differs across cultures. according to hofstede (2001), the u.s. tends to have individualistic culture; however, asian countries tend to have collectivistic cultures. these cultures view phatic communion differently. in individualistic cultures like u.s., phatic communion reflects speakers’ socio-cultural relationships in conversations. to see whether...
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2012
ISSN: 0925-9899,1572-9192
DOI: 10.1007/s10801-012-0394-9