18,887 research outputs found
Belle time-dependent gamma measurements
The Belle experiment has measured the CKM angle in a variety of
ways. In this paper, we focused on the recent progress of time-dependent
analysis and the related measurements in Belle.Comment: 6th International Workshop on the CKM Unitary Triangle, University of
Warwick UK, 6-10 September 201
Quantum Unipotent Subgroup and dual canonical basis
Geiss-Leclerc-Schroer defined the cluster algebra structure on the coordinate
ring of the unipotent subgroup, associated with a Weyl group element
and they proved cluster monomials are contained in Lusztig's dual
semicanonical basis . We give a set up for the quantization of their
results and propose a conjecture which relates the quantum cluster algebras to
the dual canonical basis . In particular, we prove that the quantum
analogue of has the induced basis from ,
which contains quantum flag minors and satisfies a factorization property with
respect to the `-center' of . This generalizes Caldero's
results from ADE cases to an arbitary symmetrizable Kac-Moody Lie algebra.Comment: 41 page
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