INVESTIGADORES
TIRABOSCHI Alejandro Leopoldo
artículos
Título:
Quantum Heisenberg groups and Sklyanin algebras
Autor/es:
ANDRUSKIEWITSCH, NICOLÁS; DEVOTO, JORGE; TIRABOSCHI, ALEJANDRO
Revista:
LETTERS IN MATHEMATICAL PHYSICS
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 1994 vol. 31 p. 167 - 178
ISSN:
0377-9017
Resumen:
We define new quantizations of the Heisenberg group by introducing new quantizations in the universal enveloping algebra of its Lie algebra. Matrix coefficients of the Stone?von Neumann representation are preserved by these new multiplications on the algebra of functions on the Heisenberg group. Some of the new quantizations provide also a new multiplication in the algebra of theta functions; we obtain in this way Sklyanin algebras.