منابع مشابه
Extending Hecke Endomorphism Algebras at Roots of Unity
Hecke endomorphism algebras are endomorphism algebras over a Hecke algebra associated to a finite Weyl group W of certain q-permutation modules, the “tensor spaces.” Such a space may be defined for any W in terms of a direct sum of certain cyclic modules associated to parabolic subgroups. The associated algebras have important applications to the representations of finite groups of Lie type. In...
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Let G be a nite group of Lie type and let k be a eld of characteristic distinct from the de ning characteristic of G. In studying the non-describing representation theory of G, the endomorphism algebra S(G;k) = EndkG( L J ind G PJ k) plays an increasingly important role. In type A, by work of Dipper and James, S(G; k) identi es with a q-Schur algebra and so serves as a link between the represen...
متن کاملEndomorphism algebras of Jacobians
where K is a subfield of even index at most 10 in a primitive cyclotomic field Q(ζp), or a subfield of index 2 in Q(ζpq) or Q(ζpα ). This result generalizes previous work of Brumer, Mestre, and Tautz-Top-Verberkmoes. Our curves are constructed as branched covers of the projective line, and the endomorphisms arise as quotients of double coset algebras of the Galois groups of these coverings. In ...
متن کاملHecke Algebras
which is Artin’s braid relation. In general we will refer to (1) as the braid relation satisfied by si and sj. In order for W to be a Coxeter group it is required that the given set of relations between elements of I give a presentation of W . Informally, this means that any relation between generators in I can be deduced from the fact that the s ∈ Σ have order 2 and the braid relations. Formal...
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As usual, we write Z,Q,Fp,C for the ring of integers, the field of rational numbers, the finite field with p elements and the field of complex numbers respectively. If Z is a smooth algebraic variety over an algebraically closed field then we write Ω(Z) for the space of differentials of the first kind on Z. If Z is an abelian variety then we write End(Z) for its ring of (absolute) endomorphisms...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2015
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2015.279.229