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- W1766321572 abstract "Let p be a prime and q=p^g. We show that the Grothendieck ring of finitely generated F_{q}[SL(2,F_{q})]-modules is naturally isomorphic to the quotient of the polynomial algebra Z[x] by the ideal generated by f^[g](x)-x, where f(x)=sum_{j=0}^{floor(p/2)}(-1)^{j}(p/(p-j))((p-j); j)x^{p-2j}, and the superscript [g] denotes g-fold composition of polynomials. We conjecture that a similar result holds for simply connected semisimple algebraic groups defined and split over a finite field." @default.
- W1766321572 created "2016-06-24" @default.
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- W1766321572 date "2011-10-31" @default.
- W1766321572 modified "2023-09-27" @default.
- W1766321572 title "An Explicit Presentation of the Grothendieck Ring of Finitely Generated F_{q}[SL(2,F_{q})]-Modules" @default.
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