Geodesic
Construction of the~Dirac operator on the~$q$-deformed quantum space $EAdS^2$ using a~generalized $q$-deformed Ginsparg--Wilson algebra
Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 1, pp. 156-167

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We construct $q$-deformed Dirac and chirality operators on the $q$-deformed quantum space $EAdS^2$ using a generalized quantum Ginsparg–Wilson algebra. We show that in the limit $q\to1$, these operators become the Dirac and chirality operators on the undeformed quantum space $EAdS^2$.
Mots-clés : Ginsparg–Wilson algebra
Keywords: Dirac operator, quantum group. 
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     author = {M. Lotfizadeh and R. Feyzi},
     title = {Construction of {the~Dirac} operator on the~$q$-deformed quantum space $EAdS^2$ using a~generalized $q$-deformed {Ginsparg--Wilson} algebra},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {205},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a10/}
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M. Lotfizadeh; R. Feyzi. Construction of the~Dirac operator on the~$q$-deformed quantum space $EAdS^2$ using a~generalized $q$-deformed Ginsparg--Wilson algebra. Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 1, pp. 156-167. http://geodesic.mathdoc.fr/item/TMF_2020_205_1_a10/