1. Bruhat cells which contain only regular elements.
- Author
-
Rainbolt, Julianne
- Subjects
GROUP theory ,ALGEBRAIC geometry ,LINEAR algebraic groups ,SUBGROUP growth ,MATHEMATICAL mappings - Abstract
Letbe a connected reductive algebraic group defined over an algebraically closed field. Letbe a maximal torus ofand letbe a Borel subgroup ofcontaining. LetWdenote the Weyl group ofand letẇdenote an element in the preimage of the natural map fromtoW. We investigate what conditions are necessary and sufficient for the double cosets(called Bruhat cells) to contain only regular elements. An application is provided on how this information about Bruhat cells can be used to determine character values for certain Hecke algebras. [ABSTRACT FROM PUBLISHER]
- Published
- 2017
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