arXiv math/00052462000-05math.QAmath.AG

Algebraization of Frobenius splitting via quantum groups

Shrawan Kumar, Peter Littelmann

备注：: 62 pages, published version
发表信息：: Ann. of Math. (2), Vol. 155 (2002), no. 2, 491--551

英文摘要：

An important breakthrough in understanding the geometry of Schubert varieties was the introduction of the notion of Frobenius split varieties and the result that the flag varieties G/P are Frobenius split. The aim of this article is to give in this case a complete and self contained representation theoretic approach to this method. The geometric Frobenius method in (char k=p>0) will here be replaced by Lusztig's Frobenius maps for quantum groups at roots of unity (which exist not only for primes but any odd integer \ell >1).

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