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- W2895988844 abstract "Let $G$ be a finite reductive group defined over $mathbb{F}_q$, with $q$ a power of a prime $p$. Motivated by a problem recently posed by C. Curtis, we first develop an algorithm to express each element of $G$ into a canonical form in terms of a refinement of a Bruhat decomposition, and we then use the output of the algorithm to explicitly determine the structure constants of the endomorphism algebra of a Gelfand-Graev representation of $G$ when $G=mathrm{PGL}_3(q)$ for an arbitrary prime $p$, and when $G=mathrm{SO}_5(q)$ for $p$ odd." @default.
- W2895988844 created "2018-10-26" @default.
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- W2895988844 date "2018-10-12" @default.
- W2895988844 modified "2023-09-27" @default.
- W2895988844 title "On refined Bruhat decompositions and endomorphism algebras of Gelfand-Graev representations" @default.
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- W2895988844 hasPublicationYear "2018" @default.
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