The correlations of an n-partite quantum state are classified into a series of irreducible k-party ones (2<or=k<or=n), with the irreducible k-party correlation being the correlation in the states of k parties but nonexistent in the states of (k-1) parties. A measure of the degree of irreducible k-party correlation is defined based on the principle of maximal entropy. Adopting a continuity appro...

Abstract. In this paper, we classify all of the finite p-groups with at most three non linear irreducible character kernels.

We investigate antihomomorphic images and pre images of semiprime, strongly primary, irreducible and strongly irreducible fuzzy ideals of a ring. We also prove that: For a surjective anti-homomorphism f : R → R, if every fuzzy ideal of R is f -invariant and has a fuzzy primary (respectively, strongly primary) decomposition in R, then every fuzzy ideal of R has a fuzzy primary (respectively, str...

A conformal vector with central charge c in a vertex operator algebra is an element of weight two whose component operators satisfy the Virasoro algebra relation with central charge c. Then the vertex operator subalgebra generated by the vector is isomorphic to a highest weight module for the Virasoro algebra with central charge c and highest weight 0 (cf. [M]). Let V2Al be the vertex operator ...

Let V be a finite dimensional complex linear space and let G be an irreducible finite subgroup of GL(V ). For a G-invariant lattice Λ in V of maximal rank, we give a description of structure of the complex torus V/Λ. In particular, we prove that for a wide class of groups, V/Λ is isogenous to a self-product of an elliptic curve, and that in many cases V/Λ is isomorphic to a product of mutually ...

we deduce that H(X) = Z[x0, · · · , xr]/(σ1, · · · , σr+1), where σi is the i th elementary symmetric function of r + 1 variables. In particular it follows that H(X) ≃ Z (because Σxi = 0). Remark. Let us consider the case of general G now. According to the BorelBott-Weil theorem there is one-to-one correspondence between irreducible highest weight representations of the Lie algebra g of G and l...

This article, a continuation of [HRo], constructs the Satake parameter for any irreducible smooth J-spherical representation of a p-adic group, where J is any parahoric subgroup. This parametrizes such representations when J is a special maximal parahoric subgroup. The main novelty is for groups which are not quasi-split, and the construction should play a role in formulating a geometric Satake...

Let X A be a reduced, irreducible, closed subvariety of a semiabelian variety A over an algebraically closed eld k. We would like to study the structure of such an X. Our point of departure is arithmetic: motivated by Lang's conjectures 15, 17, 16], as manifested by the theorems of Faltings 6, 7] and Vojta 27], we study the Mordell exceptional locus: that is, the union of translated positive di...

Suppose that G is a connected reductive group over a p-adic field F , that K is a hyperspecial maximal compact subgroup of G(F ), and that V is an irreducible representation of K over the algebraic closure of the residue field of F . We establish an analogue of the Satake isomorphism for the Hecke algebra of compactly supported, Kbiequivariant functions f : G(F ) EndV . These Hecke algebras wer...