Title 



Automorphisms of finite orthoalgebras, exceptional root systems and quantum mechanics
 
Author 



 
Abstract 



An orthoalgebra is a partial abelian monoid whose structure captures some properties of the direct sum operation of the subspaces of a Hilbert space. Given a physical system (quantum or classical), the collection of all its binary observables (properties) may be viewed as an orthoalgebra. In the quantum case, in contrast to the classical, the orthoalgebra cannot have a "bivaluation" (a morphism ending in a twoelement orthoalgebra). An interesting combinatorial problem is to construct finite orthoalgebras not admitting bivaluations. In this paper we discuss the construction of a family such examples closely related to the irreducible root systems of exceptional type.   
Language 



English
 
Source (journal) 



Generalized lie theory in mathematics, physics and beyond  
Source (book) 



International Workshop of BalticNordic Algebra, Geometry and, Mathematical Physics, OCT 1214, 2006, Lung Univ, Ctr Math Sci, Lund, SWEDEN  
Publication 



Berlin : Springer, 2009
 
ISBN 



9783540853312
 
Volume/pages 



(2009), p. 3945
 
ISI 



000264638600004
 
Full text (Publisher's DOI) 


  
