The study of super vector spaces and their generalizations is sometimes called super linear algebra. These objects find their principal application in theoretical physics where they are …

Dec 5, 2025 · Super vector spaces form the basis of superalgebra (over ground rings which are fields) in direct analogy of how ordinary vector spaces form the basis of ordinary algebra.

One might therefore say that a super Lie algebra is a Lie object in the category of super vector spaces. There is a second way to comprehend the notion of a super Lie algebra which is more …

A Lie superalgebra is a super vector space g = g0 ⊕ g1 with a Z2−graded bilinear operation [−, −] : g × g → g such that for all homogeneous elements a, b, c

This book has 3 chapters. Chapter one introduces the notion of super vector spaces and enumerates a number of properties. Chapter two defines the notion of super linear algebra, …

In this book, the authors introduce the notion of Super linear algebra and super vector spaces using the definition of super matrices defined by Horst (1963). This book expects the readers …

From super- +‎ vector. (mathematics) A combination of multiple vectors that represents a higher-dimensional object. This page was last edited on 27 October 2024, at 01:20. Definitions and …

The study of super vector spaces and their generalizations is sometimes called super linear algebra. These objects find their principal application in theoretical physics where they are …

also known as “super vector spaces”. A super vector space is simply a vector space written as a direct sum of two parts, called its even and odd part. In physics, these parts can be used to …

The field $ k $ is usually considered as a super-space of dimension $ ( 1, 0) $. For two super-spaces $ V $ and $ W $, the structure of a super-space on the spaces $ V \oplus W $, $ …