Combinatorial descriptions of the crystal structure on certain PBW bases

Transform. Groups 23 (2018), no. 2, 501-525 Using the theory of PBW bases, one can realize the crystal $B(\infty)$ for any semisimple Lie algebra over $\mathbf{C}$ using Kostant partitions as the underlying set. In fact there are many such realizations, one for each reduced expression for the longes...

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Hauptverfasser:	Salisbury, Ben, Schultze, Adam, Tingley, Peter
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Combinatorics Mathematics - Quantum Algebra Mathematics - Representation Theory
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