The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

Skip to content

NCG

Seminar

Noncommutative vector bundles on quantum homogeneous spaces and representations of quantum groups

Zhang, R (Sydney)
Thursday 21 December 2006, 14:00-14:30

Seminar Room 1, Newton Institute

Abstract

Quantum group equivariant vector bundles on quantum homogeneous spaces are classified. An analogue of Dolbeault cohomology is presented for such noncommutative vector bundles. A quantum version of the Bott-Borel-Weil theorem is discussed within this noncommutative geometric framework, realizing representations of quantized universal enveloping algebras on the cohomology groups.

Presentation

[pdf ]

Back to top ∧