| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
|---|
| Outline of Final Research Achievements |
(1) We described level-zero Lakshmibai-Seshadri (LS) paths in terms of the (parabolic) quantum Bruhat graph. As an application, we described the degree function (= energy function) on the crystal of level-zero LS paths in terms of the weights of shortest directed paths in the quantum Bruhat graph.
(2) We introduced semi-infinite LS paths in terms of the semi-infinite Bruhat order (and semi-infinite Bruhat graph), which is closely related to irreducible highest weight representations of critical level, and then we proved that the crystal of semi-infinite LS paths is isomorphic, as a crystal, to the crystal basis of the extremal weight module.
|
