Learn More
In this paper we study the complex representations of arbitrary finite monoids M. Let 9 be an irreducible character of a maximal subgroup (or Schiitzenberger group) of M. Related to the Schiitzenberger representations of M, we construct left and right induced characters 9~ and 9~ of the unit group G of M. We show that the sum of suitable intertwining(More)
This paper concerns the monoid Hecke algebras H introduced by Louis Solomon. We determine explicitly the unities of the orbit algebras associated with the two-sided action of the Weyl group W. We use this to: 1. find a description of the irreducible representations of H, 2. find an explicit isomorphism between H and the monoid algebra of the Renner monoid(More)
The purpose of this study is to examine the effectiveness of computer-assisted instruction compared to the traditional instruction of a classroom teacher in mathematics. The results of the study are based a series of tests administered to two classes of Algebra I students. The test scores are used to analyze the achievement each class demonstrated through(More)
This paper is intended to very briefly introduce some computation problems in linear algebraic monoids. The theory of linear algebraic monoids was initiated independently in 1980 Ontario). This theory is a natural blend of algebraic groups, torus embeddings, and semigroups. It is a very active and fruitful research area in mathematics. Many other(More)
  • 1