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Socles of Verma modules in quantum groups

Published online by Cambridge University Press:  17 April 2009

A.V. Jeyakumar  and
P.B. Sarasija
A.V. Jeyakumar
Affiliation:
Department of Mathematics, Madurai Kamaraj University, Madurai 625 021, India
P.B. Sarasija
Affiliation:
Department of Mathematics, Madurai Kamaraj University, Madurai 625 021, India
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Abstract

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In this paper the Verma modules Me(λ) over the quantum group vε(sl(n + 1), ℂ), where ε is a primitive lth root of 1 are studied. Some commutation relations among the generators of Ue are obtained. Using these relations, it is proved that the socle of Mε(λ) is non-zero.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 2 , April 1993 , pp. 221 - 231
Copyright
Copyright © Australian Mathematical Society 1993

References

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