Varieties of finite monoids and Büchi-McNaughton theorem
✍ Scribed by Do Long Van; Phan Trung Huy
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 961 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0304-3975
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📜 SIMILAR VOLUMES
Motivated by the theories of Hecke algebras and Schur algebras, we consider in this paper the algebra ރ M G of G-invariants of a finite monoid M with unit group G. If M is a regular ''balanced'' monoid, we show that ރ M G is a quasi-hereditary algebra. In such a case, we find the blocks of ރ M
In this paper we continue our study of complex representations of finite monoids. We begin by showing that the complex algebra of a finite regular monoid is a quasi-hereditary algebra and we identify the standard and costandard modules. We define the concept of a monoid quiver and compute it in term