We consider two aspects of Kronecker coefficients in the directions of representation theory and combinatorics. We consider a conjecture of Jan Saxl stating that the tensor square of the Sn-irreducible representation indexed by the staircase partition contains every irreducible representation of Sn. We present a sufficient condition allowing to determine whether an irreducible representation is...

We study the classification problem of simple transitive 2-representations 2-category finite-dimensional bimodules over a radical square zero Nakayama algebra. This results in complete whose apex is finitary two-sided cell. define notion localization 2-representations. construct previously unknown as localizations cell Using universal property our construction we prove that any 2-representation...

: In this paper, it is tried to explain the concept of representation and architectural representation through a qualitative methodology, approach its procedure for gradual creation in architecture and then according to scholars and to obtain the effect of this concept in the process of architectural facts the concepts are presented. In addition, it is referred to theories and practical texts b...

Square is a multivariate quadratic encryption scheme proposed in 2009. It is a specialization of Hidden Field Equations by using only odd characteristic elds and also X as its central map. In addition, it uses embedding to reduce the number of variables in the public key. However, the system was broken at Asiacrypt 2009 using a di erential attack. At PQCrypto 2010 Clough and Ding proposed two n...

Dans une permutation, un record est maximum ou minimum, en partant de la droite gauche. Les éléments d’une permutation peuvent être classés deux types : les records (dits points extérieurs) et autres intérieurs). permutations sans point intérieur ont été étudiées sous le nom carrées. Ici, nous explorons ayant nombre fini intérieurs, dites quasi-carrées. Contrairement aux carrées, l’énumération ...

For any natural number n, the group $$G_n$$ of all invertible affine transformations n-dimensional Euclidean space has, up to equivalence, just one square-integrable representation and left regular is a multiple this representation. We provide concrete realization $$\sigma $$ distinguished in two-dimensional case. explicitly decompose Hilbert $$L^2(G_2)$$ as direct sum left-invariant closed sub...

We present D, a symbol that can be used in the universal alphabet that provides a computational path to the nilpotent Dirac equation (Diaz & Rowlands, 2004) and which results in a tractable computer representation of the infinite square roots of –1. We outline how the representation is derived, the properties of the representation, and how the form can be used. Think of D as an infinite table o...

1. Introduction. The problem we address here arises in the study of the error function in the shifted circle problem (see [BCDL]). Let α = (α 1 , α 2) ∈ R

The present study investigates the role that shape and color play in the representation of animate (i.e., animals) and inanimate manipulable entities (i.e., fruits), and how the importance of these features is modulated by different tasks. Across three experiments participants were shown either images of entities (e.g., a sheep or a pineapple) or images of the same entities modified in color (e...