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Braided Groups

Shahn Majid (1992)

Recherche Coopérative sur Programme n°25

Braided modules and reflection equations

Dimitri Gurevich (1997)

Banach Center Publications

We introduce a representation theory of q-Lie algebras defined earlier in [DG1], [DG2], formulated in terms of braided modules. We also discuss other ways to define Lie algebra-like objects related to quantum groups, in particular, those based on the so-called reflection equations. We also investigate the truncated tensor product of braided modules.

Brisure de symétrie spontanée et géométrie du point de vue spectral

Alain Connes (1995/1996)

Séminaire Bourbaki

BRST charge and Poisson algebras.

Caprasse, H. (1997)

Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]

BRS-transformations in a finite dimensional setting

Kraus, Margareta (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

Summary: In order to get a mathematical understanding of the BRS-transformation and the Slavnov-Taylor identities, we treat them in a finite dimensional setting. We show that in this setting the BRS-transformation is a vector field on a certain supermanifold. The connection to the BRS-complex will be established. Finally we treat the generating functional and the Slavnov-Taylor identity in this setting.