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Simplicial topological coding and homology of spin networks. (English) Zbl 1390.83233
Kotsireas, Ilias S. (ed.) et al., Applications of computer algebra, Kalamata, Greece, July 20–23, 2015. Cham: Springer (ISBN 978-3-319-56930-7/hbk; 978-3-319-56932-1/ebook). Springer Proceedings in Mathematics & Statistics 198, 11-20 (2017).
Summary: We study the commutation of the stabilizer generators embedded in the $$q$$-representation of higher dimensional simplicial complex. The specific geometric structure and topological characteristics of 1-simplex connectivity are generalized to higher dimensional structure of spin networks encoded in ordered complex via combinatorial optimization of a closed compact space. Obtained results of a consistent homology-chain basis are used to define connectivity and dynamical self organization of spin network system via continuous sequences of simplicial maps.
For the entire collection see [Zbl 1379.13001].
##### MSC:
 83C60 Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism 83C27 Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory 83C47 Methods of quantum field theory in general relativity and gravitational theory 81T08 Constructive quantum field theory
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