Completions of Z/(p)-Tate cohomology of periodic spectra [PDF]
We construct splittings of some completions of the Z/(p)-Tate cohomology of E(n) and some related spectra. In particular, we split (a completion of) tE(n) as a (completion of) a wedge of E(n-1)'s as a spectrum, where t is shorthand for the fixed points ...
G G G Ggg +4 more
core +4 more sources
A Comparison of Deformations and Geometric Study of Varieties of Associative Algebras
The aim of this paper is to give an overview and to compare the different deformation theories of algebraic structures. In each case we describe the corresponding notions of degeneration and rigidity.
Abdenacer Makhlouf
doaj +1 more source
Formal Groups and Hopf Algebras over Discrete Rings [PDF]
A theory of formal schemes and groups over abitrary rings is presented. The flat formal schemes in this theory have coalgebras of distributions which behave in the usual way. Frobenius and Verschiebung maps are studied.
Morris, R. A., Pareigis, Bodo
core +1 more source
The universal zeta function for curve singularities and its relation with global zeta functions [PDF]
The purpose of this note is to give a brief overview on zeta functions of curve singularities and to provide some evidences on how these and global zeta functions associated to singular algebraic curves over perfect fields relate to each other.Comment ...
Moyano-Fernández, Julio José
core +5 more sources
Multivariable Lubin-Tate (\phi,\Gamma)-modules and filtered \phi-modules
We define some rings of power series in several variables, that are attached to a Lubin-Tate formal module. We then give some examples of (\phi,\Gamma)-modules over those rings.
Berger, Laurent
core +3 more sources
Which weakly ramified group actions admit a universal formal deformation? [PDF]
Consider a formal (mixed-characteristic) deformation functor D of a representation of a finite group G as automorphisms of a power series ring k[[t]] over a perfect field k of positive characteristic. Assume that the action of G is weakly ramified, i.e.,
Byszewski, Jakub, Cornelissen, Gunther
core +3 more sources
Semi-galois Categories II: An arithmetic analogue of Christol's theorem
In connection with our previous work on semi-galois categories, this paper proves an arithmetic analogue of Christol's theorem concerning an automata-theoretic characterization of when a formal power series over finite field is algebraic over the ...
Uramoto, Takeo
core +1 more source
The Hopf Algebra Structure of the Character Rings of Classical Groups [PDF]
The character ring \CGL of covariant irreducible tensor representations of the general linear group admits a Hopf algebra structure isomorphic to the Hopf algebra \Sym$ of symmetric functions.
Fauser, Bertfried +2 more
core +1 more source
Smooth locus of twisted affine Schubert varieties and twisted affine Demazure modules
Let ${\mathscr {G}} $ be a special parahoric group scheme of twisted type over the ring of formal power series over $\mathbb {C}$ , excluding the absolutely special case of $A^{(2)}_{2\ell }$ .
Marc Besson, Jiuzu Hong
doaj +1 more source
Encryption methods using formal power series rings [PDF]
Recently there has been a great deal of work on noncommutative algebraic cryptography. This involves the use of noncommutative algebraic objects as the platforms for encryption systems. Most of this work, such as the Anshel-Anshel-Goldfeld scheme, the Ko-
Baumslag, Gilbert +4 more
core

