Polyadic Algebraic Structures

Duplij, Steven

ISBN 10: 0750326468 / ISBN 13: 9780750326469

Published by Iop Publishing Ltd, 2022

Unread book in perfect condition. Seller Inventory # 44594543

Synopsis:

Various algebraic structures are investigated from the viewpoint that the initial arities of all operations are arbitrary ("polyadization" and partial arity freedom principle), and the relations between operations, arising from the structure definitions, lead to restrictions of their arity shapes ("quantization"). This unified procedure is applied to one-set and two-set algebraic structures, as well as to Hopf algebras and tensor categories, which gives new unusual properties and enriched objects absent in the ordinary binary structures.

About the Author: Steven Duplij (Stepan Douplii) is a theoretical and mathematical physicist from the University of Münster, Germany. Dr Duplij is the editor-compiler of "Concise Encyclopaedia of Supersymmetry" (2005, Springer), and is the author of more than a hundred scientific publications and several books. His scientific directions include supersymmetry and quantum groups, advanced algebraic structures, gravity and nonlinear electrodynamics, constrained systems and quantum computing.

Bibliographic Details

Title: Polyadic Algebraic Structures
Publisher: Iop Publishing Ltd
Publication Date: 2022
Binding: Hardcover
Condition: As New