Double canonical bases

Representation Theory

27 April 14:00 - 15:30

Jacob Greenstein - University of California, Riverside

We introduce a new class of bases for quantized universal enveloping algebras and other doubles attached to semisimple and Kac-Moody Lie algebras. These bases contain dual canonical bases of upper and lower halves of the quantum group and are invariant under many symmetries including all Lusztig's symmetries if the corresponding Lie algebra is semisimple. It also turns out that a part of a double canonical basis spans the center of the quantum group.
Henning Haahr Andersen
Aarhus University
Aslak Bakke Buan
NTNU - Norwegian University of Science and Technology
Volodymyr Mazorchuk,
Uppsala University


Volodymyr Mazorchuk

Tel: 018-471 3284


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