Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2008
Abstract
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 to be well-versed in linear algebra. Many theorems on super linear algebra and its properties are proved. Some theorems are left as exercises for the reader. These new class of super linear algebras which can be thought of as a set of linear algebras, following a stipulated condition, will find applications in several fields using computers. The authors feel that such a paradigm shift is essential in this computerized world. Some other structures ought to replace linear algebras which are over a century old. Super linear algebras that use super matrices can store data not only in a block but in multiple blocks so it is certainty more powerful than the usual matrices. 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, super inner product spaces and super bilinear forms.
Publisher
InfoLearnQuest, Ann Arbor
ISSN
978-1-59973-065-3
Language (ISO)
English
Keywords
super linear algebra, super vector space
Recommended Citation
Smarandache, Florentin and W.B. Vasantha Kandasamy. "SUPER LINEAR ALGEBRA." (2008). https://digitalrepository.unm.edu/math_fsp/202
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Algebra Commons, Algebraic Geometry Commons, Analysis Commons, Dynamical Systems Commons, Harmonic Analysis and Representation Commons, Other Mathematics Commons, Set Theory Commons
