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 authors consider elements x of a finite group G with the property that χ(x) ≠ 0 for all irreducible characters χ of G. If G is solvable and x has odd order, then x must lie in the Fitting subgroup F(G).
80 citations
TL;DR: In this paper, recall for behaviors that were either consistent or inconsistent with a previously presented set of uniform trait adjectives was studied, and recall for inconsistent behaviors was better when they constituted the minority of behavior descriptions.
Abstract: Recall for behaviors that were either consistent or inconsistent with a previously presented set of uniform trait adjectives was studied. Similar to Hastie and Kumar (1979), recall for inconsistent behaviors was better when they constituted the minority of behavior descriptions. However, the reverse was found when consistent behaviors formed the minority set. The majority set, rather than the minority set, of behavior descriptions determined impression ratings of the fictional character. These results were discussed in terms of the effects of trait information as compared to behavioral information on person memory.
80 citations
TL;DR: In this paper, a new method for representing Hilbert series based on the highest weight Dynkin labels of their underlying symmetry groups is presented. But the method is restricted to the case of a product group and the invariant tensors of its gauge group.
Abstract: We develop a new method for representing Hilbert series based on the highest weight Dynkin labels of their underlying symmetry groups. The method draws on plethystic functions and character generating functions along with Weyl integration. We give explicit examples showing how the use of such highest weight generating functions (“HWGs”) permits an efficient encoding and analysis of the Hilbert series of the vacuum moduli spaces of classical and exceptional SQCD theories and also of the moduli spaces of instantons. We identify how the HWGs of gauge invariant operators of a selection of classical and exceptional SQCD theories result from the interaction under symmetrisation between a product group and the invariant tensors of its gauge group. In order to calculate HWGs, we derive and tabulate character generating functions for low rank groups by a variety of methods, including a general character generating function, based on the Weyl Character Formula, for any classical or exceptional group.
79 citations
79 citations