ℤ2-Graded Number Theory

Let ℋ be the set of pairs of integers, together with addition and multiplication as given in (1) and (2) below. The arithmetics of ℋ reflects a certain arithmetics of characters of symmetric groups, whose corresponding Young diagrams are supported on hooks. This arithmetics gives rise to a ℤ 2 -grad...

Full description

Saved in:
Bibliographic Details
Published in:Communications in algebra 2006-08, Vol.34 (8), p.3077-3095
Main Authors: Hadas, Ofer, Henke, Anne, Regev, Amitai
Format: Article
Language:English
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let ℋ be the set of pairs of integers, together with addition and multiplication as given in (1) and (2) below. The arithmetics of ℋ reflects a certain arithmetics of characters of symmetric groups, whose corresponding Young diagrams are supported on hooks. This arithmetics gives rise to a ℤ 2 -graded (or super or hyperbolic) number theory. Many theorems from number theory have their ℤ 2 -graded analogues in ℋ. Here we study a few basic aspects of that theory.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927870600640086