Lie algebra type noncommutative phase spaces are Hopf algebroids (CROSBI ID 226721)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Meljanac, Stjepan ; Škoda, Zoran ; Stojić, Martina
engleski
Lie algebra type noncommutative phase spaces are Hopf algebroids
For a noncommutative configuration space whose coordinate algebra is the universal enveloping algebra of a finite dimensional Lie algebra, it is known how to introduce an extension playing the role of the corresponding noncommutative phase space, namely by adding the commuting deformed derivatives in a consistent and nontrivial way, therefore obtaining certain deformed Heisenberg algebra. This algebra has been studied in physical contexts, mainly in the case of the kappa-Minkowski space-time. Here we equip the entire phase space algebra with a coproduct, so that it becomes an instance of a completed variant of a Hopf algebroid over a noncommutative base, where the base is the enveloping algebra.
universal enveloping algebra ; noncommutative phase space ; deformed derivative ; Hopf algebroid ; completed tensor product
The first author (S.M.) has partially been supported by Croatian Science Foundation grant IP- 2014-09-9582.
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Podaci o izdanju
107 (3)
2017.
475-503
objavljeno
0377-9017
1573-0530
10.1007/s11005-016-0908-9