n-exterior isoclinic Lie crossed modules
نویسندگان
چکیده
Exterior isoclinism gives an alternative classification method for finite Lie algebras and crossed modules. In this paper, we define the notions of exterior Also, generalize these n-th dimension.
منابع مشابه
On Lie algebra crossed modules
The goal of this article is to construct a crossed module representing the cocycle 〈[, ], 〉 generating H(g; C) for a simple complex Lie algebra g.
متن کاملThe category of generalized crossed modules
In the definition of a crossed module $(T,G,rho)$, the actions of the group $T$ and $G$ on themselves are given by conjugation. In this paper, we consider these actions to be arbitrary and thus generalize the concept of ordinary crossed module. Therefore, we get the category ${bf GCM}$, of all generalized crossed modules and generalized crossed module morphisms between them, and investigate som...
متن کاملBraids and crossed modules
For n ≥ 4, we describe Artin’s braid group on n strings as a crossed module over itself. In particular, we interpret the braid relations as crossed module structure relations. Subject classification: Primary: 20F36 57M05 57M20 57M25; Secondary: 18D50 18G55 20C08 55P48
متن کاملThree Crossed Modules
In this paper following Conduché’s, [12], way of defining 2-crossed modules which are equivalent to Carrasco-Cegarra’s, [10], 2-hyper crossed complexes, we define the three crossed module of groups as a model for 4-types.
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: New trends in mathematical sciences
سال: 2022
ISSN: ['2147-5520']
DOI: https://doi.org/10.20852/ntmsci.2022.481