• 2-KNOT SYMMETRIC ALGEBRAS
Abstract
In this paper, we introduce a new class of algebras Kn, which we call 2-knot symmetric algebras. The reason for this name is that these new algebras have a basis consisting of knot diagrams. The multiplication of two of these graphs turns Kn into an associative algebra. By making use of conditional expectation and proving the non-degeneracy of the trace, we and also prove the semi simplicity of these algebras over Kn(x).
Keywords
Full Text:
pdfRefbacks
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2011-2024 Research Journal of Pure Algebra (RJPA) Copyright Agreement & Authorship Responsibility | Counter |