We determine the 2-modular character table of the third sporadic simple group of Conway, up to two ambiguities. In each of these cases we give the smallest possibility for the character, which is also very likely to be the correct answer.

For univariate functions the Kronecker theorem, stating the equivalence between the existence of an infinite block in the table of Padé approximants and the approximated function f being rational, is well-known. In [Lubi88] Lubinsky proved that if f is not rational, then its Padé table is normal almost everywhere: for an at most countable set of points the Taylor series expansion of f is such t...

Based on his study of the Hilbert scheme from algebraic geometry, Haiman [Invent. Math. 149 (2002), pp. 371–407] obtained a formula for the character of the space of diagonal harmonics under the diagonal action of the symmetric group, as a sum of Macdonald polynomials with rational coefficients. In this paper we show how Haiman’s formula, combined with identities involving plethystic symmetric ...

The well known isomorphism relating the rational algebraic K-theory groups and the rational motivic cohomology groups of a smooth variety over a field of characteristic 0 is shown to be realized by a map (the “Segre map”) of infinite loop spaces. Moreover, the associated Chern character map on rational homotopy groups is shown to be a ring isomorphism. A technique is introduced which establishe...

Abstract A standard interpretation of the character Hamlet is that he indecisive, even pathologically so, and his indecisiveness manifested by lengthy passage time between when told father’s death was a murder kills perpetrator. Rational choice in economics concerns connection means ends. person rational if, given her ends (her goals), she chooses reasonable to achieve those With uncertainty, b...

We present an overview of the close analogies between character rings finite groups and fusion rational conformal models, which follow from general principles related to orbifold deconstruction.

We propose a general conjecture for the mixed Hodge polynomial of the generic character varieties of representations of the fundamental group of a Riemann surface of genus g to GLn.C/ with fixed generic semisimple conjugacy classes at k punctures. This conjecture generalizes the Cauchy identity for Macdonald polynomials and is a common generalization of two formulas that we prove in this paper....

This research aimed to explore and describe the types of conflict that occurred in ParaNorman Movie. object was movie, specifically its main character Norman Babcock. The instruments consisted observation protocol documentation. Data collection through eight necessary steps, namely, 1) watch 2) download script, 3) make sure script movie were line, 4) observe conflicts, 5) identify conflict, 6) ...