應(yīng)yl7703永利官網(wǎng)邀請(qǐng),北京理工大學(xué)萬(wàn)金奎教授將于2023年12月15日舉辦線上學(xué)術(shù)講座。
題目:Stability of the centers of group algebras of GLn(q)
時(shí)間:2023年12月15日,上午10:30—12:00
騰訊會(huì)議ID:568-848-266
(鏈接:https://meeting.tencent.com/dm/lFeLy8b6UZYm)
摘要:The center Zn(q) of the integral group algebra of the general linear group GLn(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 GLn(q) are independent of n, and this stability leads to a universal stable center with positive integer structure constants which governs the algebras GLn(q) for all n. Various structure constants of the stable center are computed and several conjectures are formulated. This generalizes the stability properties for symmetric groups and wreath products were established earlier in literature. This is based on a joint work with Weiqiang Wang.
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萬(wàn)金奎,北京理工大學(xué)yl7703永利官網(wǎng)教授,博士畢業(yè)于美國(guó)弗吉尼亞大學(xué),曾訪問(wèn)澳大利亞新南威爾士大學(xué)、美國(guó)弗吉尼亞大學(xué)等。研究方向:李理論與表示論(代數(shù)群、量子群、李代數(shù)、Hecke代數(shù)等代數(shù)對(duì)象的表示理論以及相應(yīng)的代數(shù)組合理論),研究成果發(fā)表在Adv. Math.、Proc. LMS、Trans. AMS、IMRN等著名學(xué)術(shù)期刊。
甘肅應(yīng)用數(shù)學(xué)中心
yl7703永利官網(wǎng)
萃英學(xué)院
2023年12月14日