IMAS   23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Weight modules of quantized Weyl algebras
Autor/es:
VYACHESLAV FUTORNY; ANDREA SOLOTAR; LAURENT RIGAL
Revista:
MATHEMATICAL RESEARCH LETTERS
Editorial:
INT PRESS BOSTON, INC
Referencias:
Año: 2020 vol. 27 p. 1707 - 1753
ISSN:
1073-2780
Resumen:
We develop a general framework for studying relative weight representations for certain pairs consistingof an associative algebra and a commutative subalgebra. Using these tools we describe projective and simple weightmodules for a common localisation of two quantum versions of Weyl algebras, one by Maltsiniotis and the otherone by Akhavizadegan and Jordan, for generic values of the deformation parameters.