The Structure of Normal Algebraic Monoids
✍ Scribed by Michel Brion; Alvaro Rittatore
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 316 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0037-1912
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📜 SIMILAR VOLUMES
We begin by constructing Hecke algebras for arbitrary finite regular monoids M. We then show that the semisimplicity of the complex monoid algebra ރ M is equivalent to the semisimplicity of the associated Hecke algebras and a condition on induced group characters. We apply these results to finite
The first part of this paper investigates a class of homogeneously presented monoids. Constructions which enable division and multiplication to be computed are described. The word problem and the division problem are solved, and a unique normal form is given for monoids in this class. The second par