g∈G agg −1 is an antiautomorphism of KG of order 2. An element v of V (KG) satisfying v = v is called unitary. We denote by V∗(KG) the subgroup of V (KG) formed by the unitary elements of KG. Let char(K) be the characteristic of the field K. In [2], A.Bovdi and A. Szákacs construct a basis for V∗(KG) where char(K) > 2. Also A. Bovdi and L. Erdei [1] determine the structure of V∗(F2G) for all gr...

Abstract. Let K be a field of characteristic p and G a nonabelian metacyclic finite p-group. We give an explicit list of all metacyclic p-groups G, such that the group algebra KG over a field of characteristic p has a filtered multiplicative K-basis. We also present an example of a non-metacyclic 2-group G, such that the group algebra KG over any field of characteristic 2 has a filtered multipl...

The Grothendieck constant KG is the smallest constant such that for every n ∈ N and every matrix A = (ai j) the following holds,

We consider the problem of zero-shot recognition: learning a visual classifier for a category with zero training examples, just using the word embedding of the category and its relationship to other categories, which visual data are provided. The key to dealing with the unfamiliar or novel category is to transfer knowledge obtained from familiar classes to describe the unfamiliar class. In this...

Abstract Simplified models provide a useful way to study the impacts of small number new particles on experimental observables and interplay those observables, without need construct an underlying theory. In this study, we perform global fits simplified dark matter with using up-to-date set likelihoods for indirect detection, direct detection collider searches. We investigate in which scalar or...

We give an explicit list of all p-groups G of order at most p4 or 25 such that the group algebra KG over the field K of characteristic p has a filtered multiplicative K-basis.