- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:36
Publications of the Research Institute for Mathematical Sciences
Publ. Res. Inst. Math. Sci.
PRIMS
0034-5318
1663-4926
General
10.4171/PRIMS
http://www.ems-ph.org/doi/10.4171/PRIMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Research Institute for Mathematical Sciences, Kyoto University
36
2000
4
Zero actions and energy functions for perfect crystals
Timothy
Baker
Kyoto University, KYOTO, JAPAN
We give a combinatorial description of the action of the crystal operators ẽ0, f~0 on certain perfect crystals of U'q(Cn(1)), U'q(Dn(1)) and U'q(Dn+1(2)), by means of Dynkin diagram automorphisms and Schensted column insertion. Also, for certain level 1 perfect crystals of these algebras we give a definition of a combinatorial "charge" related to the energy function on homogeneous paths in such crystals.
Nonassociative rings and algebras
Combinatorics
Quantum theory
General
533
572
10.2977/prims/1195142873
http://www.ems-ph.org/doi/10.2977/prims/1195142873