Representations and characters of Salingaros' vee groups of low order / Reprezentacje i charaktery grup vee Salingarosa niskiego rzędu
Journal Title: Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations - Year 2016, Vol 0, Issue 1
Abstract
We study irreducible representations and characters of Salingaros' vee groups of orders 4, 8, and 16 as 2-groups of exponent 4. In particular, we construct complex irreducible group modules and explicit representations of these groups. We prove a theorem regarding the number of conjugacy classes and the number of inequivalent irreducible representations of degree one and two. We show how to decompose a complex group algebra into irreducible submodules in accordance with Maschke's Theorem. We formulate two algorithms for nd- ing bases for these submodules which rely on the Groebner basis methods. In the end, we provide the character tables of these groups.
Authors and Affiliations
Kehelwala Dewag Gayan Maduranga, Rafał Abłamowicz
Keywords
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Representations and characters of Salingaros' vee groups of low order / Reprezentacje i charaktery grup vee Salingarosa niskiego rzędu
We study irreducible representations and characters of Salingaros' vee groups of orders 4, 8, and 16 as 2-groups of exponent 4. In particular, we construct complex irreducible group modules and explicit representations o...