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Award ID contains: 1702254

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  1. ; ; (, Journal of Pure and Applied Algebra)
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  2. ; (, Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES)
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  3. ; ; (, Letters in Mathematical Physics)
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  4. ; ; (, Mathematische Zeitschrift)
    We classify the simple modules of the exceptional algebraic supergroups over an algebraically closed field of prime characteristic. 
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  5. ; (, Advances in mathematics)
    The center $$Z_n(q)$$ of the integral group algebra of the general linear group $$GL_n(q)$$ over a finite field admits a filtration with respect to the reflection length. We show that the structure constants of the associated graded algebras $$\mathscr{G}_n(q)$$ are independent of $$n$$, and this stability leads to a universal stable center with positive integer structure constants which governs the algebras $$\mathscr{G}_n(q)$$ for all $$n$$. Various structure constants of the stable center are computed and several conjectures are formulated. Analogous stability properties for symmetric groups and wreath products were established earlier by Farahat-Higman and the second author. 
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  6. ; (, Journal of algebra)
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