THE WEIGHTED FUSION CATEGORY ALGEBRA AND THE q-SCHUR ALGEBRA FOR GL2(q)
نویسنده
چکیده
We show that the weighted fusion category algebra of the principal 2-block b0 of GL2(q) is the quotient of the q-Schur algebra S2(q) by its socle, for q an odd prime power. As a consequence, we get a canonical bijection between the set of isomorphism classes of simple kGL2(q)b0-modules and the set of conjugacy classes of b0-weights in this case.
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