Galois correspondence theorem for Hopf algebra actions

2005 ◽  
pp. 393-411 ◽  
Author(s):  
Tadashi Yanai
Keyword(s):  
Hopf Algebra ◽  
Galois Correspondence ◽  
Correspondence Theorem

The Galois correspondence theorem for groupoid actions

2018 ◽  
Vol 509 ◽  
pp. 105-123 ◽  
Author(s):  
Antonio Paques ◽  
Thaísa Tamusiunas
Keyword(s):  
Galois Correspondence ◽  
Correspondence Theorem

scholarly journals Galois Correspondence Theorem for Picard-Vessiot Extensions

2015 ◽  
Vol 2 (1) ◽  
pp. 21-27 ◽  
Author(s):  
Teresa Crespo ◽  
Zbigniew Hajto ◽  
Elżbieta Sowa-Adamus
Keyword(s):  
Galois Correspondence ◽  
Correspondence Theorem

scholarly journals Hopf algebra methods in graph theory

1995 ◽  
Vol 101 (1) ◽  
pp. 77-90 ◽  
Author(s):  
William R. Schmitt
Keyword(s):  
Graph Theory ◽  
Hopf Algebra

scholarly journals CLASSICAL MARKOV PROCESSES FROM QUANTUM LÉVY PROCESSES

1999 ◽  
Vol 02 (01) ◽  
pp. 105-129 ◽  
Author(s):  
UWE FRANZ
Keyword(s):  
Markov Process ◽  
Hopf Algebra ◽  
Markov Processes ◽  
Lévy Processes ◽  
Sufficient Conditions ◽  
Markov Property ◽  
Vacuum State ◽  
Levy Processes ◽  
Quantum Process ◽  
Quantum Markov Processes

We show how classical Markov processes can be obtained from quantum Lévy processes. It is shown that quantum Lévy processes are quantum Markov processes, and sufficient conditions for restrictions to subalgebras to remain quantum Markov processes are given. A classical Markov process (which has the same time-ordered moments as the quantum process in the vacuum state) exists whenever we can restrict to a commutative subalgebra without losing the quantum Markov property.8 Several examples, including the Azéma martingale, with explicit calculations are presented. In particular, the action of the generator of the classical Markov processes on polynomials or their moments are calculated using Hopf algebra duality.

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