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On Hopf algebroid structure of kappa-deformed Heisenberg algebra (CROSBI ID 223759)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Lukierski, Jerzy ; Škoda, Zoran ; Woronowicz, Mariusz On Hopf algebroid structure of kappa-deformed Heisenberg algebra // Physics of atomic nuclei, 80 (2017), 3; 585-585. doi: 10.1134/S1063778817030188

Podaci o odgovornosti

Lukierski, Jerzy ; Škoda, Zoran ; Woronowicz, Mariusz

engleski

On Hopf algebroid structure of kappa-deformed Heisenberg algebra

The (4 + 4)-dimensional κ-deformed quantum phase space as well as its (10 + 10)-dimensional covariant extension by the Lorentz sector can be described as Heisenberg doubles: the (10 + 10)-dimensional quantum phase space is the double of D = 4 κ-deformed Poincaré Hopf algebra H and the standard (4 + 4)-dimensional space is its subalgebra generated by κ-Minkowski coordinates xμˆ and corresponding commuting momenta pμˆ. Every Heisenberg double appears as the total algebra of a Hopf algebroid over a base algebra which is in our case the coordinate sector. We exhibit the details of this structure, namely the corresponding right bialgebroid and the antipode map. We rely on algebraic methods of calculation in Majid–Ruegg bicrossproduct basis. The target map is derived from a formula by J.-H. Lu. The coproduct takes values in the bimodule tensor product over a base, what is expressed as the presence of coproduct gauge freedom.

kappa-Minkowski space ; Hopf algebroid ; Heisenberg double

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Podaci o izdanju

80 (3)

2017.

585-585

objavljeno

1063-7788

1562-692X

10.1134/S1063778817030188

Povezanost rada

Matematika, Fizika

Poveznice
Indeksiranost