Littelmann path model: Difference between revisions

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* <math>\displaystyle{ e_\alpha [\pi] = [\pi_r]} </math> if ''r'' (0) = 0 and 0 otherwise;
 
* <math> \displaystyle{f_\alpha [\pi] = [\pi_l]} </math> if ''l'' (1) = 1 and 0 otherwise.
 
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*{{citation|first=James E.|last=Humphreys|year=1994|edition=2|isbn= 0-387-90053-5|title=Introduction to Lie Algebras and Representation Theory|publisher=Springer-Verlag}}
* {{citation|last=Littelmann|first=Peter|title=A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras|journal= Invent. Math.|volume= 116|year=1994|pages=329–346|doi=10.1007/BF01231564|bibcode = 1994InMat.116..329L }}
*{{citation| last=Littelmann|first= Peter|title=Paths and root operators in representation theory|journal=Ann. Ofof Math.|volume= 142 |year=1995|pages= 499–525| doi=10.2307/2118553| jstor=2118553| issue=3| publisher=Annals of Mathematics}}
*{{citation|first=Peter|last=Littelmann|title=Characters of Representations and Paths in <math>\mathfrak{h}</math><sub>'''R'''</sub>*|pages=29–49|year=
1997|journal=Proceedings of Symposia in Pure Mathematics|publisher=American Mathematical Society|volume=61|doi=10.1090/pspum/061/1476490}} [instructional course]