GAP 4 Package hecke
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چکیده
This package may be distributed under the terms and conditions of the GNU Public License Version 2 or higher.
منابع مشابه
On the number of simple modules of Iwahori–Hecke algebras of finite Weyl groups
Let Hk(W, q) be the Iwahori–Hecke algebra associated with a finite Weyl group W , where k is a field and 0 6= q ∈ k. Assume that the characteristic of k is not “bad” for W and let e be the smallest i > 2 such that 1+q+q+· · ·+q = 0. We show that the number of simple Hk(H, q)-modules is “generic”, i.e., it only depends on e. The proof uses some computations in the CHEVIE package of GAP and known...
متن کاملM ar 2 00 3 Hecke Operator and S - Duality of N = 4 Super Yang - Millsfor ADE
We determine N = 4 partition functions of N = 4 super Yang-Mills gauge theory for some ADE gauge groups on K3, under the assumption that they are holomorphic. Our partition functions satisfy the gap condition and Montonen-Olive duality at the same time, like the SU(N) partition functions of Vafa and Witten. As a result we find a close relation between Hecke operator and S-duality of N = 4 super...
متن کاملHecke Operator and S-duality of N = 4 Ade Gauge Theory on K3
We determine N = 4 partition functions on K3 for some ADE gauge groups, on the assumption that they are holomorphic. Our partition functions satisfy the gap condition and Montonen-Olive duality at the same time, like the SU(N) partition functions of Vafa and Witten. As a result, we reveal a close relation between Hecke operator and S-duality of N = 4 ADE gauge theory on K3.
متن کاملCongruence Properties of Siegel Modular Forms
Let X35 be a Siegel cusp form of degree 2 and weight 35. Kikuta, Kodama and Nagaoka [4] proved that det T a(T, X35) ≡ 0 mod 23 for every half integral positive symmetric matrix T . In this paper, we give a finite number of examples of Hecke eigenforms of degree 2 and odd weights that have the same type of congruence relation above. We also introduce congruence relations for the Hecke eigenvalue...
متن کاملENTROPY OF GEODESIC FLOWS ON SUBSPACES OF HECKE SURFACE WITH ARITHMETIC CODE
There are dierent ways to code the geodesic flows on surfaces with negative curvature. Such code spaces give a useful tool to verify the dynamical properties of geodesic flows. Here we consider special subspaces of geodesic flows on Hecke surface whose arithmetic codings varies on a set with innite alphabet. Then we will compare the topological complexity of them by computing their topological ...
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تاریخ انتشار 2010