Actions of GL_q(2,C) on C(1,3) and its four dimensional representations

dc.creatorKharchenko, V. K.
dc.creatorKeller, Jaime
dc.creatorRodriguez-Romo, S.
dc.date1999-10-19
dc.date.accessioned2026-07-07T05:31:13Z
dc.date.available2026-07-07T05:31:13Z
dc.descriptionA complete classification is given of all inner actions on the Clifford algebra C(1,3) defined by representations of the quantum group GL_q(2,C), q^m\neq 1, which are not reduced to representations of two commuting "q-spinors". As a consequence of this classification it is shown that the space of invariants of every GL_q(2,C)-action of this type, which is not an action of SL_q(2,C), is generated by 1 and the value of the quantum determinant for the given representation.
dc.description35 pages, LaTex2e
dc.identifierhttps://arxiv.org/abs/math/9910095
dc.identifierhttp://arxiv.org/abs/math/9910095
dc.identifierCommunications in Algebra, 27(4),1843-1878(1999)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79258
dc.subjectQuantum Algebra
dc.titleActions of GL_q(2,C) on C(1,3) and its four dimensional representations
dc.typetext

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