Tensoring Generalized Characters with the Steinberg Character

Irreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3D_4(p^{3m})$

‎‎Here we construct and count all ordinary irreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3D_4(p^{3m})$.

The Characters of the Generalized Steinberg Representations of Finite General Linear Groups on the Regular Elliptic Set

Let k be a finite field, kn|k the degree n extension of k, and G = GLn(k) the general linear group with entries in k. This paper studies the “generalized Steinberg” (GS) representations of G and proves the equivalence of several different characterizations for this class of representations. As our main result we show that the union of the class of cuspidal and GS representations of G is in natu...

On Finite Groups With Two Irreducible Character Degrees

پویانمایی شخصیت کارتونی با انتقال حرکت مفصلی و مبتنی بر اسکلت موجودات دیگر

Abstract: Nowadays, the animators give life to the fancy characters by making natural movements to organs of cartoon characters. To achieve this goal, movements of living individuals can be applied into cartoon characters. In this paper, a skeletal correspondence finding based method is proposed to transfer movement of a 2D character into a new character, where these two shapes have the same st...

Representation Theoretic Harmonic Spinors for Coherent Families

Coherent continuation π2 of a representation π1 of a semisimple Lie algebra arises by tensoring π1 with a finite dimensional representation F and projecting it to the eigenspace of a particular infinitesimal character. Some relations exist between the spaces of harmonic spinors (involving Kostant’s cubic Dirac operator and the usual Dirac operator) with coefficients in the three modules. For th...