منابع مشابه
Invitation to operadic dynamics
Based on the Gerstenhaber Theory it is clarified how operadic dynamics may be introduced. Operadic observables satisfy the Gerstenhaber algebra identities and their time evolution is governed by the Gerstenhaber-Lax or Gerstenhaber-Heisenberg equation. In this way one can describe classical and quantum time evolution of operations. The notion of an operadic Lax pair is introduced as well.
متن کاملOperadic dynamics and Gerstenhaber-Lax equation
Based on the Gerstenhaber Theory it is clarified how the operadic dynamics may be introduced. Time evolution of an operadic observable is governed by the Gerstenhaber-Lax equation.
متن کاملOperadic Koszul Duality
1. OPERADS Our goal in this talk is to give a sort of categorified version of “Koszul duality”. One of the primary motivations for us to do so is to take the classical results about Koszul duality, which form a convoluted and complex body of literature, and stretch them apart to see which assumptions power which parts of the theory. Classically, Koszul duality results are concerned chiefly with...
متن کاملAn Operadic Approach to Internal Structures
We study internal structures in the category of algebras for an operad, and show that these themselves admit an operadic description. The main case of interest is where the operad is on an abelian category, and the internal structures in question are those of internal category, internal n-category, or internal (cubical) n-tuple category. This allows an operadic treatment of crossed modules and ...
متن کاملAn Invitation to Play
Parity games and their subclasses and variants pop up in various contexts: μ-calculus, tree automata, program verification [3, 1, 8]. Such games provide only binary information indicating the winning player. However, in classical games theory [12] the emphasis is rather on how much we win or lose. Can we incorporate the information about the profits and losses into parity games?
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ژورنال
عنوان ژورنال: Journal of Generalized Lie Theory and Applications
سال: 2007
ISSN: 1736-5279,1736-4337
DOI: 10.4303/jglta/s070105