arXiv subjects

S. Rodriguez-Romo

Publications and source records attributed to S. Rodriguez-Romo.

2 recordsLinked to original sources

arXiv1999

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

A 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.

math.QA↗

arXiv1996

Prime rings with PI rings of constants

It is shown that if the ring of constants of a restricted differential Lie algebra with a quasi-Frobenius inner part satisfies a polynomial identity (PI) then the original prime ring has a generalized polynomial identitiy (GPI). If additionally the ring of constants is semiprime then the original ring is PI. The case of a non-quasi-Frobenius inner part is also considered.

alg-geom↗