The Monomial Lattice in Modular Symmetric Power Representations

Monomial modular representations and symmetric generation of the Harada–Norton group∗

This paper is a sequel to Curtis [7], where the Held group was constructed using a 7-modular monomial representation of 3·A7, the exceptional triple cover of the alternating group A7. In this paper, a 5-modular monomial representation of 2·HS:2, a double cover of the automorphism group of the Higman–Sims group, is used to build an infinite semi-direct product P which has HN, the Harada– Norton ...

Modular Representations of Symmetric Groups

Over the last few weeks, we have seen lots of things in representation theory—we began by looking at an onslaught of examples to see explicitly what representations look like, we discussed character theory and looked at character tables, we talked about representations from a module-theoretic perspective, and then we saw how we can model the representation theory of the symmetric group via the ...

analysis of power in the network society

اندیشمندان و صاحب نظران علوم اجتماعی بر این باورند که مرحله تازه ای در تاریخ جوامع بشری اغاز شده است. ویژگیهای این جامعه نو را می توان پدیده هایی از جمله اقتصاد اطلاعاتی جهانی ، هندسه متغیر شبکه ای، فرهنگ مجاز واقعی ، توسعه حیرت انگیز فناوری های دیجیتال، خدمات پیوسته و نیز فشردگی زمان و مکان برشمرد. از سوی دیگر قدرت به عنوان موضوع اصلی علم سیاست جایگاه مهمی در روابط انسانی دارد، قدرت و بازتولید...

On the Modular Representations of the Symmetric Group (III).

In a previous paper2 the author commented upon an idea of D. E. Littlewood' for defining the indecomposables of the regular representation of Sn, and showed how it could be utilized to characterize the modular irreducible components. A modification of Littlewood's idea is presented here which throws new light upon the whole problem. Young's rule3 for constructing the "seminormal" representation...

On the Modular Representations of the Symmetric Group (II).