Lattice vertex algebras over fields of prime characteristic
نویسندگان
چکیده
منابع مشابه
Twisted Modules over Lattice Vertex Algebras
A vertex algebra is essentially the same as a chiral algebra in conformal field theory [2, 10]. Vertex algebras arose naturally in the representation theory of infinite-dimensional Lie algebras and in the construction of the “moonshine module” for the Monster finite simple group [3, 9]. If V is a vertex algebra and Γ is a finite group of automorphisms of V , the subalgebra V Γ of Γ-invariant el...
متن کاملFixed-point-free Representations over Fields of Prime Characteristic
The irreducible representations over prime fields of characteristic p for those solvable groups which occur as groups of fixed-point-free automorphisms on finite groups are determined.
متن کاملHYPERTRANSCENDENTAL FORMAL POWER SERIES OVER FIELDS OF POSITIVE CHARACTERISTIC
Let $K$ be a field of characteristic$p>0$, $K[[x]]$, the ring of formal power series over $ K$,$K((x))$, the quotient field of $ K[[x]]$, and $ K(x)$ the fieldof rational functions over $K$. We shall give somecharacterizations of an algebraic function $fin K((x))$ over $K$.Let $L$ be a field of characteristic zero. The power series $finL[[x]]$ is called differentially algebraic, if it satisfies...
متن کاملSemisimplicity of Cellular Algebras over Positive Characteristic Fields
In this paper, we investigate semisimplicity of cellular algebras over positive characteristic fields. Our main result shows that the Frame number of cellular algebras characterizes semisimplicity of it. In a sense, this is a generalization of Maschke’s theorem. 1. intrudoction Cellular algebras are an object in algebraic combinatorics which were introduced by B. Yu. Weisfeiler and A. A. Lehman...
متن کاملStructure of finite wavelet frames over prime fields
This article presents a systematic study for structure of finite wavelet frames over prime fields. Let $p$ be a positive prime integer and $mathbb{W}_p$ be the finite wavelet group over the prime field $mathbb{Z}_p$. We study theoretical frame aspects of finite wavelet systems generated by subgroups of the finite wavelet group $mathbb{W}_p$.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2014
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2014.06.027